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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample1.0s (24%)

Memory

9.2MiB live, 908.0MiB allocated

Samples

614.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 205.0ms

ival-mult: 128.0ms (62.6% of total)

ival-sub: 62.0ms (30.3% of total)

ival-true: 6.0ms (2.9% of total)

exact: 5.0ms (2.4% of total)

ival-assert: 4.0ms (2% of total)

Bogosity

explain199.0ms (4.6%)

Memory

5.5MiB live, 248.9MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

72.0ms

512×

valid

Compiler

Compiled 49 to 25 computations (49% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 29.0ms (79% of total)

ival-sub: 6.0ms (16.3% of total)

ival-true: 1.0ms (2.7% of total)

exact: 1.0ms (2.7% of total)

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

preprocess52.0ms (1.2%)

Memory

5.5MiB live, 98.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	69
1	67	66
2	171	66
3	360	66
4	441	66
5	453	66
0	7	7
0	10	7
1	17	7
2	42	7
3	90	7
4	155	7
5	189	7
0	189	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: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 7 computations (0% saved)

simplify14.0ms (0.3%)

Memory

-17.7MiB live, 28.5MiB 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	1	(-.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	17	19
2	42	19
3	90	19
4	155	19
5	189	19
0	189	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

localize26.0ms (0.6%)

Memory

-4.5MiB live, 46.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (.f64 y #s(literal 4 binary64)) z)
accuracy	0.0	(*.f64 y #s(literal 4 binary64))
accuracy	0.00390625	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

Samples

20.0ms

256×

valid

Compiler

Compiled 21 to 9 computations (57.1% saved)

Precisions

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

ival-mult: 8.0ms (79.4% of total)

ival-sub: 2.0ms (19.9% of total)

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

exact: 0.0ms (0% of total)

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

series8.0ms (0.2%)

Memory

18.8MiB live, 18.8MiB 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
2.0ms	z	@	inf	((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))
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))

simplify193.0ms (4.5%)

Memory

-44.9MiB live, 158.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	70
1	94	70
2	254	70
3	877	70
4	2729	70
5	4817	70
6	5610	70
7	6086	70
8	7724	70
0	8192	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 #s(literal -4 binary64) y) z)
(- x (* 4 (* y z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y 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 #s(literal -4 binary64) z) y x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)

rewrite620.0ms (14.4%)

Memory

24.9MiB live, 723.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	30	15
2	200	15
3	2053	15
0	8902	14

Stop Event

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

Counts

3 → 309

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 (/.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 #s(literal -4 binary64) y) z) (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 #s(literal -4 binary64)) y 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 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) (/.f64 (fma.f64 (.f64 z #s(literal -4 binary64)) y x) (fma.f64 z (.f64 #s(literal 4 binary64) y) 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 #s(literal -4 binary64)) y 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 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (neg.f64 z)) (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 (neg.f64 z)) (.f64 #s(literal 4 binary64) y)) (.f64 (neg.f64 (neg.f64 z)) (.f64 #s(literal 4 binary64) y)) (.f64 x (.f64 (neg.f64 (neg.f64 z)) (*.f64 #s(literal 4 binary64) y))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 (neg.f64 y)) (.f64 z #s(literal 4 binary64))) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 (neg.f64 y)) (.f64 z #s(literal 4 binary64))) (.f64 (neg.f64 (neg.f64 y)) (.f64 z #s(literal 4 binary64))) (.f64 x (.f64 (neg.f64 (neg.f64 y)) (*.f64 z #s(literal 4 binary64)))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (neg.f64 z) (.f64 #s(literal -4 binary64) y)) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (neg.f64 z) (.f64 #s(literal -4 binary64) y)) (.f64 (neg.f64 z) (.f64 #s(literal -4 binary64) y)) (.f64 x (.f64 (neg.f64 z) (*.f64 #s(literal -4 binary64) y))))))
(/.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))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) #s(literal 6 binary64)) (pow.f64 (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 (pow.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 2 binary64)) (.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 (/.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 (/.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 (pow.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 2 binary64)) (.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 (+.f64 (neg.f64 (.f64 x x)) (neg.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 (neg.f64 (-.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 z (.f64 #s(literal 4 binary64) y) x))) #s(literal 2 binary64)) (pow.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 2 binary64)))) (fma.f64 (.f64 z #s(literal -4 binary64)) y x))
(/.f64 (neg.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 2 binary64)) (pow.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 2 binary64)))) (fma.f64 (*.f64 z #s(literal -4 binary64)) y x))
(/.f64 (neg.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))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) #s(literal 6 binary64)) (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 z (.f64 #s(literal 4 binary64) y) x))) #s(literal 2 binary64)) (+.f64 (pow.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 2 binary64)) (.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 (neg.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 (/.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)))) (neg.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 2 binary64)) (+.f64 (pow.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 2 binary64)) (.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 (neg.f64 (-.f64 (.f64 (.f64 x x) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))))) (neg.f64 (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.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 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 x x)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))))) (neg.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 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 (*.f64 #s(literal -4 binary64) y) z) x)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) x) (neg.f64 (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 2 binary64)))
(/.f64 (-.f64 (.f64 (neg.f64 (.f64 x x)) (fma.f64 z (.f64 #s(literal 4 binary64) y) x)) (.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) 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 2 binary64)))
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(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (+.f64 (fma.f64 (pow.f64 (.f64 (.f64 z x) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 z (.f64 #s(literal 4 binary64) y) x))) (/.f64 (pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) #s(literal 6 binary64)) (.f64 (+.f64 (fma.f64 (pow.f64 (.f64 (.f64 z x) y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) #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 x #s(literal 6 binary64)) (.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 (.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 (.f64 #s(literal -4 binary64) y) z) #s(literal 6 binary64)) (.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 (.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 3 binary64)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (.f64 x x) (.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) x)))) (/.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 (.f64 #s(literal -4 binary64) y) z) x)))))
(+.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 (.f64 #s(literal -4 binary64) y) z) x)))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3/2 binary64))) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3/2 binary64))) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (.f64 x x) (.f64 (.f64 (*.f64 #s(literal -4 binary64) y) z) x)))))
(+.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 (.f64 #s(literal -4 binary64) y) z) x)))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (.f64 z (.f64 #s(literal 4 binary64) y))) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (.f64 x x) (.f64 (.f64 (*.f64 #s(literal -4 binary64) y) z) x)))))
(+.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 (.f64 #s(literal -4 binary64) y) z) x)))) (/.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 (.f64 #s(literal -4 binary64) y) z) x)))))
(+.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 x (/.f64 x (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))) (/.f64 (.f64 (neg.f64 (.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) z)) (.f64 #s(literal 4 binary64) y)) (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))) (/.f64 (.f64 (neg.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 y y)) z)) z) (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))) (/.f64 (.f64 (neg.f64 (.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) y)) (.f64 z #s(literal 4 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))) (/.f64 (.f64 (neg.f64 (.f64 z z)) (.f64 #s(literal 16 binary64) (.f64 y y))) (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))) (/.f64 (.f64 (neg.f64 (.f64 #s(literal 16 binary64) (.f64 y y))) (.f64 z z)) (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))) (/.f64 (.f64 (neg.f64 (.f64 y y)) (pow.f64 (.f64 z #s(literal 4 binary64)) #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))) (/.f64 (.f64 (neg.f64 z) (.f64 (.f64 #s(literal 16 binary64) (.f64 y y)) z)) (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))) (/.f64 (.f64 (neg.f64 y) (.f64 (pow.f64 (.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)) y)) (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))) (/.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 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 (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 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 (neg.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3/2 binary64))) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3/2 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))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (.f64 z (.f64 #s(literal 4 binary64) y))) (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))) (/.f64 (.f64 (neg.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3/2 binary64))) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3/2 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 (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 (neg.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (.f64 z (.f64 #s(literal 4 binary64) y))) (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 (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 (neg.f64 x) (.f64 z (.f64 #s(literal 4 binary64) y)))
(+.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) x)
(+.f64 x (.f64 (.f64 #s(literal -4 binary64) y) z))
(.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (.f64 (fabs.f64 y) #s(literal 4 binary64))))
(.f64 (fabs.f64 (.f64 (fabs.f64 y) #s(literal 4 binary64))) (fabs.f64 (fabs.f64 z)))
(.f64 (fabs.f64 (.f64 (fabs.f64 z) #s(literal 4 binary64))) (fabs.f64 (fabs.f64 y)))
(.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (.f64 (fabs.f64 z) #s(literal 4 binary64))))
(.f64 (fabs.f64 (fabs.f64 (.f64 z y))) #s(literal 4 binary64))
(.f64 (fabs.f64 (.f64 (neg.f64 z) #s(literal 4 binary64))) (fabs.f64 y))
(.f64 (fabs.f64 (.f64 (neg.f64 z) y)) #s(literal 4 binary64))
(.f64 (fabs.f64 (.f64 z #s(literal -4 binary64))) (fabs.f64 y))
(.f64 (fabs.f64 (.f64 z (neg.f64 y))) #s(literal 4 binary64))
(.f64 (fabs.f64 (.f64 (neg.f64 y) z)) #s(literal 4 binary64))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) z) y)) #s(literal 2 binary64))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) y) z)) #s(literal 2 binary64))
(.f64 (sqrt.f64 (.f64 (.f64 y y) (.f64 z #s(literal 4 binary64)))) (sqrt.f64 (*.f64 z #s(literal 4 binary64))))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) (*.f64 #s(literal -4 binary64) y))) (sqrt.f64 z))
(.f64 (sqrt.f64 (.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (*.f64 z y))) #s(literal 2 binary64))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z)) (sqrt.f64 (*.f64 #s(literal -4 binary64) y)))
(.f64 (sqrt.f64 (.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64))) (sqrt.f64 (*.f64 z y)))
(.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 z (*.f64 #s(literal 4 binary64) y)))))
(.f64 (sqrt.f64 (.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) y)) (sqrt.f64 (*.f64 z #s(literal 4 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 4 binary64))) (sqrt.f64 (.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) y)))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal -4 binary64) y) z)) (sqrt.f64 (.f64 (*.f64 #s(literal -4 binary64) y) z)))
(.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) y)) (sqrt.f64 (.f64 z (.f64 (*.f64 #s(literal -4 binary64) y) z))))
(.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 4 binary64) y))) (sqrt.f64 (.f64 z (*.f64 #s(literal 4 binary64) y))))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 y y)) z)) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 #s(literal -4 binary64) y) (.f64 (*.f64 #s(literal -4 binary64) y) z))))
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 y y)) z)))
(.f64 (sqrt.f64 (.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) z)) (sqrt.f64 (*.f64 #s(literal 4 binary64) y)))
(.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) y)) (sqrt.f64 (.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) z)))
(.f64 (sqrt.f64 (.f64 (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)) y)) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)) y)))
(.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 z)) (exp.f64 (log.f64 (.f64 #s(literal 4 binary64) 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 (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 (fabs.f64 z) (.f64 (fabs.f64 y) #s(literal 4 binary64)))
(.f64 (.f64 (fabs.f64 y) #s(literal 4 binary64)) (fabs.f64 z))
(.f64 (fabs.f64 (.f64 z y)) #s(literal 4 binary64))
(.f64 (.f64 (fabs.f64 z) #s(literal 4 binary64)) (fabs.f64 y))
(.f64 (fabs.f64 y) (fabs.f64 (.f64 #s(literal -4 binary64) z)))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 z) #s(literal 4 binary64)))
(.f64 (.f64 z y) #s(literal 4 binary64))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 (.f64 z y) (.f64 z (*.f64 #s(literal 4 binary64) y)))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 y (.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) z))))
(.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) (fabs.f64 (fabs.f64 (.f64 z y))))
(.f64 #s(literal 4 binary64) (fabs.f64 (.f64 (neg.f64 y) z)))
(.f64 #s(literal 4 binary64) (pow.f64 (.f64 z y) #s(literal 1 binary64)))
(.f64 #s(literal 4 binary64) (fabs.f64 (.f64 z y)))
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 y (.f64 z #s(literal 4 binary64)))
(pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) #s(literal 1 binary64))
(pow.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(neg.f64 (.f64 (.f64 #s(literal -4 binary64) y) z))
(sqrt.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))
(fabs.f64 (.f64 (.f64 #s(literal -4 binary64) y) z))
(fabs.f64 (.f64 z (.f64 #s(literal 4 binary64) y)))
(exp.f64 (/.f64 (log.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) #s(literal 2 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 (cosh.f64 (log.f64 (.f64 z (.f64 #s(literal 4 binary64) y)))) (sinh.f64 (log.f64 (.f64 z (.f64 #s(literal 4 binary64) y)))))
(*.f64 (neg.f64 (neg.f64 y)) #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) (neg.f64 y))
(*.f64 (neg.f64 y) #s(literal -4 binary64))
(*.f64 #s(literal 4 binary64) (neg.f64 (neg.f64 y)))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))
(neg.f64 (*.f64 #s(literal -4 binary64) y))

eval228.0ms (5.3%)

Memory: 35.5MiB live, 299.4MiB allocated
Compiler: Compiled 11 053 to 820 computations (92.6% saved)

prune6.0ms (0.1%)

Memory

-21.0MiB live, 26.8MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	311	2	313
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	312	2	314

Accuracy

100.0%

Counts

314 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
▶	51.9%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) y) z))

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify16.0ms (0.4%)

Memory

3.6MiB live, 48.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 z #s(literal -4 binary64))
cost-diff	0	(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
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: 1 (0.0ms)

Iter	Nodes	Cost
0	13	37
0	18	37
1	33	36
2	69	36
3	121	36
4	189	36
5	194	36
0	194	36

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

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

localize96.0ms (2.2%)

Memory

9.5MiB live, 203.5MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
accuracy	0.0	(*.f64 z #s(literal -4 binary64))
accuracy	0.0	(.f64 (.f64 #s(literal -4 binary64) y) z)
accuracy	0.0	(*.f64 #s(literal -4 binary64) y)
accuracy	30.778622734416516	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) y) z))

Samples

63.0ms

256×

valid

Compiler

Compiled 34 to 15 computations (55.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 31.0ms (79.3% of total)

ival-sub: 4.0ms (10.2% of total)

ival-add: 3.0ms (7.7% of total)

exact: 1.0ms (2.6% of total)

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

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

series5.0ms (0.1%)

Memory

13.3MiB live, 13.3MiB allocated

Counts

5 → 16

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

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)))
(* -4 y)
(* 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	y	@	0	((- x (* (* y 4) z)) (* (* -4 y) z) (* -4 y) (+ (* (* z -4) y) x) (* z -4))
1.0ms	z	@	inf	((- x (* (* y 4) z)) (* (* -4 y) z) (* -4 y) (+ (* (* z -4) y) x) (* z -4))
1.0ms	y	@	inf	((- x (* (* y 4) z)) (* (* -4 y) z) (* -4 y) (+ (* (* z -4) y) x) (* z -4))
1.0ms	y	@	-inf	((- x (* (* y 4) z)) (* (* -4 y) z) (* -4 y) (+ (* (* z -4) y) x) (* z -4))
1.0ms	z	@	-inf	((- x (* (* y 4) z)) (* (* -4 y) z) (* -4 y) (+ (* (* z -4) y) x) (* z -4))

simplify103.0ms (2.4%)

Memory

-1.9MiB live, 94.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	96
1	132	96
2	387	96
3	1061	96
4	2434	96
5	4254	96
6	6425	96
7	7955	96
0	8015	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)))
(* -4 y)
(* 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 #s(literal -4 binary64) z) y x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -4 y)
(*.f64 #s(literal -4 binary64) y)
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* y (+ (* -4 z) (/ x y)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -1 (* y (+ (* -1 (/ x y)) (* 4 z))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* z (+ (* -4 y) (/ x z)))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(* -1 (* z (+ (* -1 (/ x z)) (* 4 y))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)

rewrite233.0ms (5.4%)

Memory

-18.6MiB live, 234.7MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	30
0	18	30
1	56	29
2	397	29
3	4276	29
0	8774	29

Stop Event

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

Counts

5 → 402

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

Outputs
#s(approx (- x (* (* y 4) z)) (.f64 z (.f64 #s(literal 4 binary64) y)))
(.f64 (fabs.f64 (.f64 z (neg.f64 y))) #s(literal 4 binary64))
(.f64 (fabs.f64 (.f64 (neg.f64 y) z)) #s(literal 4 binary64))
(.f64 (fabs.f64 (.f64 (neg.f64 z) (neg.f64 y))) #s(literal 4 binary64))
(.f64 (fabs.f64 (.f64 (neg.f64 z) #s(literal 4 binary64))) (fabs.f64 y))
(.f64 (fabs.f64 (.f64 (neg.f64 z) y)) #s(literal 4 binary64))
(.f64 (fabs.f64 (.f64 (fabs.f64 y) #s(literal 4 binary64))) (fabs.f64 (fabs.f64 z)))
(.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (.f64 (fabs.f64 y) #s(literal 4 binary64))))
(.f64 (fabs.f64 (.f64 (fabs.f64 z) #s(literal 4 binary64))) (fabs.f64 (fabs.f64 y)))
(.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (.f64 (fabs.f64 z) #s(literal 4 binary64))))
(.f64 (fabs.f64 (fabs.f64 (.f64 z y))) #s(literal 4 binary64))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) z) (neg.f64 y))) #s(literal 2 binary64))
(.f64 (sqrt.f64 (.f64 #s(literal 16 binary64) (.f64 z y))) (sqrt.f64 (.f64 z y)))
(.f64 (sqrt.f64 (.f64 (.f64 y y) (.f64 z #s(literal 4 binary64)))) (sqrt.f64 (*.f64 z #s(literal 4 binary64))))
(.f64 (sqrt.f64 (.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64))) (sqrt.f64 (*.f64 z y)))
(.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (.f64 (.f64 (.f64 z y) #s(literal 16 binary64)) z)))
(.f64 (sqrt.f64 (.f64 (.f64 z y) #s(literal 16 binary64))) (sqrt.f64 (.f64 z y)))
(.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (.f64 #s(literal 4 binary64) (.f64 z (*.f64 #s(literal 4 binary64) y)))))
(.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (.f64 (.f64 z y) #s(literal 16 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 4 binary64))) (sqrt.f64 (.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) y)))
(.f64 (sqrt.f64 (.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) y)) (sqrt.f64 (*.f64 z #s(literal 4 binary64))))
(.f64 (sqrt.f64 (.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)))
(.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) z)) (sqrt.f64 (.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) y)))
(.f64 (sqrt.f64 (.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) z)) (sqrt.f64 (*.f64 #s(literal -4 binary64) y)))
(.f64 (sqrt.f64 (.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) z)) (sqrt.f64 (*.f64 #s(literal 4 binary64) y)))
(.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) y)) (sqrt.f64 (.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) z)))
(.f64 (sqrt.f64 (.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -4 binary64))) (sqrt.f64 #s(literal -4 binary64)))
(.f64 (sqrt.f64 (.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -4 binary64))) #s(literal 2 binary64))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -4 binary64))))
(.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 4 binary64) y))) (sqrt.f64 (.f64 z (*.f64 #s(literal 4 binary64) y))))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) #s(literal 16 binary64)) y)) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 (.f64 z y) #s(literal 16 binary64)) y)))
(.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) y)) (sqrt.f64 (.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) z)))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) #s(literal 16 binary64)) z)) (sqrt.f64 (neg.f64 y)))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 z y) #s(literal 16 binary64)) z)) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 (.f64 (.f64 z y) #s(literal 16 binary64)) z)))
(.f64 (exp.f64 (log.f64 #s(literal -4 binary64))) (exp.f64 (log.f64 (.f64 z y))))
(.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) (exp.f64 (log.f64 (.f64 z y))))
(.f64 (exp.f64 (log.f64 (.f64 z y))) (exp.f64 (log.f64 #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 (.f64 z #s(literal 4 binary64)))) (exp.f64 (log.f64 y)))
(.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (.f64 #s(literal 4 binary64) y))))
(.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (.f64 #s(literal -4 binary64) y))))
(.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (.f64 z #s(literal 4 binary64)))))
(.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 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 (.f64 z (neg.f64 y)) #s(literal 4 binary64))
(.f64 (.f64 (neg.f64 y) z) #s(literal -4 binary64))
(.f64 (.f64 (neg.f64 y) z) #s(literal 4 binary64))
(.f64 (.f64 (neg.f64 z) (neg.f64 y)) #s(literal 4 binary64))
(.f64 (.f64 (neg.f64 z) #s(literal 4 binary64)) (neg.f64 y))
(.f64 (.f64 (neg.f64 z) #s(literal 4 binary64)) y)
(.f64 (.f64 (neg.f64 z) y) #s(literal -4 binary64))
(.f64 (.f64 (neg.f64 z) y) #s(literal 4 binary64))
(.f64 (neg.f64 (.f64 z y)) #s(literal -4 binary64))
(.f64 (neg.f64 (.f64 z y)) #s(literal 4 binary64))
(.f64 (neg.f64 (.f64 z #s(literal 4 binary64))) y)
(.f64 (fabs.f64 (.f64 z y)) #s(literal 4 binary64))
(.f64 (.f64 (fabs.f64 y) #s(literal 4 binary64)) (fabs.f64 z))
(.f64 (fabs.f64 z) (.f64 (fabs.f64 y) #s(literal 4 binary64)))
(.f64 (.f64 (fabs.f64 z) #s(literal 4 binary64)) (fabs.f64 y))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 z) #s(literal 4 binary64)))
(.f64 (neg.f64 z) (.f64 #s(literal -4 binary64) y))
(.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y))
(.f64 (neg.f64 y) (.f64 z #s(literal 4 binary64)))
(.f64 (neg.f64 y) (.f64 #s(literal -4 binary64) z))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal -4 binary64))))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 (neg.f64 y) (.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) z))))
(.f64 (.f64 z y) #s(literal -4 binary64))
(.f64 (.f64 z y) #s(literal 4 binary64))
(.f64 (.f64 z #s(literal 4 binary64)) (neg.f64 y))
(.f64 (.f64 z #s(literal 4 binary64)) y)
(.f64 (.f64 #s(literal -4 binary64) z) (neg.f64 y))
(.f64 (.f64 #s(literal -4 binary64) z) y)
(.f64 (.f64 #s(literal -4 binary64) y) (neg.f64 z))
(.f64 (.f64 #s(literal -4 binary64) y) z)
(.f64 #s(literal -4 binary64) (neg.f64 (.f64 z y)))
(.f64 #s(literal -4 binary64) (.f64 z y))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 (.f64 #s(literal 4 binary64) y) (neg.f64 z))
(.f64 (.f64 #s(literal 4 binary64) y) z)
(.f64 #s(literal 4 binary64) (fabs.f64 (.f64 (neg.f64 y) z)))
(.f64 #s(literal 4 binary64) (fabs.f64 (fabs.f64 (.f64 z y))))
(.f64 #s(literal 4 binary64) (.f64 (neg.f64 y) z))
(.f64 #s(literal 4 binary64) (neg.f64 (.f64 z y)))
(.f64 #s(literal 4 binary64) (fabs.f64 (.f64 z y)))
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 y (neg.f64 (.f64 z #s(literal 4 binary64))))
(.f64 y (.f64 z #s(literal 4 binary64)))
(.f64 y (.f64 #s(literal -4 binary64) z))
(pow.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(neg.f64 (.f64 z (.f64 #s(literal 4 binary64) y)))
(sqrt.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))
(fabs.f64 (.f64 z (.f64 #s(literal 4 binary64) y)))
(exp.f64 (/.f64 (log.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) #s(literal 2 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 (cosh.f64 (log.f64 (.f64 z (.f64 #s(literal 4 binary64) y)))) (sinh.f64 (log.f64 (.f64 z (.f64 #s(literal 4 binary64) y)))))
(*.f64 (neg.f64 y) #s(literal 4 binary64))
(*.f64 #s(literal -4 binary64) y)
(*.f64 #s(literal 4 binary64) (neg.f64 y))
(*.f64 y #s(literal -4 binary64))
(neg.f64 (*.f64 #s(literal 4 binary64) y))
(.f64 (/.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 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x)) #s(literal 2 binary64))) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y 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))) (+.f64 (pow.f64 (.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 (.f64 #s(literal -4 binary64) z) 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 (.f64 #s(literal -4 binary64) z) y x))) (-.f64 (.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 (.f64 #s(literal -4 binary64) z) y 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))) (fma.f64 #s(literal 4096 binary64) (pow.f64 (.f64 z y) #s(literal 6 binary64)) (pow.f64 (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y 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 #s(literal -4 binary64) z) y x) x) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x)))))
(.f64 (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal -4 binary64) z) y x))
(.f64 (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) #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 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x)))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (fma.f64 (.f64 #s(literal -4 binary64) z) y x)))
(.f64 (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x)) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x))))
(/.f64 (fma.f64 (.f64 (neg.f64 x) x) (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x)) (.f64 (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (.f64 (neg.f64 x) x))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y x) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) (.f64 x x))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y x) #s(literal 2 binary64)))
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(fma.f64 (.f64 #s(literal 64 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y x) x))))
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y x) x))))
(fma.f64 (.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y x) x))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (.f64 #s(literal 64 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 (*.f64 #s(literal -4 binary64) z) y x) x))))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) (neg.f64 x))
(fma.f64 (*.f64 z y) #s(literal -4 binary64) x)
(fma.f64 (*.f64 z y) #s(literal 4 binary64) (neg.f64 x))
(fma.f64 (*.f64 z y) #s(literal 4 binary64) x)
(fma.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y) (neg.f64 x))
(fma.f64 (*.f64 z #s(literal 4 binary64)) (neg.f64 y) x)
(fma.f64 (*.f64 z #s(literal 4 binary64)) y (neg.f64 x))
(fma.f64 (*.f64 z #s(literal 4 binary64)) y x)
(fma.f64 (.f64 x x) (/.f64 x (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x))) (/.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 (fma.f64 (*.f64 #s(literal -4 binary64) z) y x) x))))
(fma.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (/.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x))))
(fma.f64 (.f64 #s(literal -4 binary64) z) (/.f64 (.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) y) (fma.f64 (.f64 #s(literal -4 binary64) z) y x)) (.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal -4 binary64) z) y x))))
(fma.f64 (*.f64 #s(literal -4 binary64) z) (neg.f64 y) (neg.f64 x))
(fma.f64 (*.f64 #s(literal -4 binary64) z) (neg.f64 y) x)
(fma.f64 (*.f64 #s(literal -4 binary64) z) y (neg.f64 x))
(fma.f64 (*.f64 #s(literal -4 binary64) z) y x)
(fma.f64 (.f64 #s(literal -4 binary64) y) (/.f64 (.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) z) (fma.f64 (.f64 #s(literal -4 binary64) z) y x)) (.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal -4 binary64) z) y x))))
(fma.f64 (*.f64 #s(literal -4 binary64) y) (neg.f64 z) (neg.f64 x))
(fma.f64 (*.f64 #s(literal -4 binary64) y) (neg.f64 z) x)
(fma.f64 (*.f64 #s(literal -4 binary64) y) z (neg.f64 x))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal -4 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) z) y x)) (.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal -4 binary64) z) y x))))
(fma.f64 #s(literal -4 binary64) (neg.f64 (*.f64 z y)) (neg.f64 x))
(fma.f64 #s(literal -4 binary64) (neg.f64 (*.f64 z y)) x)
(fma.f64 #s(literal -4 binary64) (*.f64 z y) (neg.f64 x))
(fma.f64 #s(literal -4 binary64) (*.f64 z y) x)
(fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (/.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (fma.f64 (.f64 #s(literal -4 binary64) z) y x)) (.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal -4 binary64) z) y x))))
(fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x))))
(fma.f64 z (/.f64 (.f64 (.f64 (.f64 z y) #s(literal 16 binary64)) y) (fma.f64 (.f64 #s(literal -4 binary64) z) y x)) (.f64 x (/.f64 x (fma.f64 (.f64 #s(literal -4 binary64) z) y x))))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) (neg.f64 x))
(fma.f64 z (*.f64 #s(literal -4 binary64) y) x)
(fma.f64 z (*.f64 #s(literal 4 binary64) y) (neg.f64 x))
(fma.f64 z (*.f64 #s(literal 4 binary64) y) x)
(fma.f64 (.f64 #s(literal 4 binary64) y) (/.f64 (.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) z) (fma.f64 (.f64 #s(literal -4 binary64) z) y x)) (.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal -4 binary64) z) y x))))
(fma.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 z) (neg.f64 x))
(fma.f64 (*.f64 #s(literal 4 binary64) y) (neg.f64 z) x)
(fma.f64 (*.f64 #s(literal 4 binary64) y) z (neg.f64 x))
(fma.f64 (*.f64 #s(literal 4 binary64) y) z x)
(fma.f64 #s(literal 4 binary64) (fabs.f64 (*.f64 (neg.f64 y) z)) (neg.f64 x))
(fma.f64 #s(literal 4 binary64) (fabs.f64 (*.f64 (neg.f64 y) z)) x)
(fma.f64 #s(literal 4 binary64) (fabs.f64 (fabs.f64 (*.f64 z y))) (neg.f64 x))
(fma.f64 #s(literal 4 binary64) (fabs.f64 (fabs.f64 (*.f64 z y))) x)
(fma.f64 #s(literal 4 binary64) (*.f64 (neg.f64 y) z) (neg.f64 x))
(fma.f64 #s(literal 4 binary64) (*.f64 (neg.f64 y) z) x)
(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 z y)) (neg.f64 x))
(fma.f64 #s(literal 4 binary64) (neg.f64 (*.f64 z y)) x)
(fma.f64 #s(literal 4 binary64) (fabs.f64 (*.f64 z y)) (neg.f64 x))
(fma.f64 #s(literal 4 binary64) (fabs.f64 (*.f64 z y)) x)
(fma.f64 #s(literal 4 binary64) (*.f64 z y) (neg.f64 x))
(fma.f64 #s(literal 4 binary64) (*.f64 z y) x)
(fma.f64 y (/.f64 (.f64 (.f64 (.f64 z y) #s(literal 16 binary64)) z) (fma.f64 (.f64 #s(literal -4 binary64) z) y x)) (.f64 x (/.f64 x (fma.f64 (.f64 #s(literal -4 binary64) z) y x))))
(fma.f64 y (neg.f64 (*.f64 z #s(literal 4 binary64))) (neg.f64 x))
(fma.f64 y (neg.f64 (*.f64 z #s(literal 4 binary64))) x)
(fma.f64 y (*.f64 z #s(literal 4 binary64)) (neg.f64 x))
(fma.f64 y (*.f64 z #s(literal 4 binary64)) x)
(fma.f64 y (*.f64 #s(literal -4 binary64) z) (neg.f64 x))
(fma.f64 y (*.f64 #s(literal -4 binary64) z) x)
(fma.f64 x (/.f64 x (fma.f64 (.f64 #s(literal -4 binary64) z) y x)) (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) z) y x)))
(fma.f64 x (/.f64 (.f64 x x) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x))) (/.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 (fma.f64 (*.f64 #s(literal -4 binary64) z) y x) x))))
(-.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 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x))) (/.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 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x))))
(-.f64 (/.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 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x))))
(-.f64 (.f64 x (/.f64 x (fma.f64 (.f64 #s(literal -4 binary64) z) y x))) (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) z) y x)))
(-.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) z) y x)) (.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal -4 binary64) z) y x))))
(-.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x)
(-.f64 x (.f64 (neg.f64 (neg.f64 z)) (.f64 #s(literal 4 binary64) y)))
(-.f64 x (.f64 (neg.f64 (neg.f64 y)) (.f64 z #s(literal 4 binary64))))
(-.f64 x (.f64 z (.f64 #s(literal 4 binary64) y)))
(+.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 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x))) (/.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 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x))))
(+.f64 (/.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 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y x) x))))
(+.f64 (.f64 x (/.f64 x (fma.f64 (.f64 #s(literal -4 binary64) z) y x))) (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) z) y x)))
(+.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) z) y x)) (.f64 x (/.f64 x (fma.f64 (*.f64 #s(literal -4 binary64) z) y x))))
(+.f64 (neg.f64 x) (.f64 z (.f64 #s(literal 4 binary64) y)))
(+.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (neg.f64 x))
(+.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) x)
(+.f64 x (.f64 (neg.f64 (neg.f64 z)) (.f64 #s(literal -4 binary64) y)))
(+.f64 x (.f64 (neg.f64 (neg.f64 y)) (.f64 #s(literal -4 binary64) z)))
(+.f64 x (.f64 (neg.f64 (neg.f64 z)) (.f64 #s(literal 4 binary64) y)))
(+.f64 x (.f64 (neg.f64 (neg.f64 y)) (.f64 z #s(literal 4 binary64))))
(+.f64 x (.f64 z (.f64 #s(literal 4 binary64) y)))
(*.f64 #s(literal -4 binary64) z)
(*.f64 z #s(literal -4 binary64))

eval63.0ms (1.5%)

Memory: 16.1MiB live, 114.9MiB allocated
Compiler: Compiled 7 362 to 796 computations (89.2% saved)

prune14.0ms (0.3%)

Memory

-7.7MiB live, 36.9MiB allocated

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	405	2	407
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	405	4	409

Accuracy

100.0%

Counts

409 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
▶	2.0%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal 4 binary64)))
▶	51.9%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
✓	51.9%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) y) z))

Compiler

Compiled 45 to 39 computations (13.3% saved)

simplify6.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
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)))
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: 0 (0.0ms)

Iter	Nodes	Cost
0	13	48
0	16	48
1	29	48
2	57	48
3	100	48
4	150	48
0	150	46

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)
#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)

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

localize50.0ms (1.2%)

Memory

-32.0MiB live, 116.1MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 z y)
accuracy	0.020195019536884032	(.f64 (.f64 z y) #s(literal 4 binary64))
accuracy	62.72786073413171	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal 4 binary64)))
accuracy	0.0	(*.f64 z y)
accuracy	0.020195019536884032	(.f64 (.f64 z y) #s(literal -4 binary64))
accuracy	30.778622734416516	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Samples

32.0ms

256×

valid

Compiler

Compiled 38 to 13 computations (65.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 14.0ms (74.8% of total)

ival-sub: 4.0ms (21.4% of total)

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

exact: 0.0ms (0% of total)

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

series14.0ms (0.3%)

Memory

-11.8MiB live, 33.7MiB allocated

Counts

5 → 12

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)
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal 4 binary64)))
(.f64 (.f64 z 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)))
(* y z)
(* 4 (* y z))
(* 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
4.0ms	z	@	-inf	((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (- x (* (* y 4) z)) (* (* z y) 4))
2.0ms	y	@	-inf	((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (- x (* (* y 4) z)) (* (* z y) 4))
2.0ms	z	@	inf	((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (- x (* (* y 4) z)) (* (* z y) 4))
1.0ms	z	@	0	((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (- x (* (* y 4) z)) (* (* z y) 4))
1.0ms	y	@	inf	((- x (* (* y 4) z)) (* (* z y) -4) (* z y) (- x (* (* y 4) z)) (* (* z y) 4))

simplify178.0ms (4.1%)

Memory

19.1MiB live, 159.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	70
1	94	70
2	254	70
3	875	70
4	2739	70
5	4829	70
6	5620	70
7	6097	70
8	7735	70
0	8010	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)))
(* y z)
(* 4 (* y z))
(* 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 #s(literal -4 binary64) y) z)
(- x (* 4 (* y z)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
x
(* x (+ 1 (* -4 (/ (* y z) x))))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(* -1 (* x (- (* 4 (/ (* y z) x)) 1)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(+ x (* -4 (* y z)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(* y z)
(*.f64 z y)
(* 4 (* y z))
(.f64 (.f64 z y) #s(literal 4 binary64))
(* y (- (/ x y) (* 4 z)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(* -1 (* y (- (* -1 (/ x y)) (* -4 z))))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(* z (- (/ x z) (* 4 y)))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)
(* -1 (* z (- (* -1 (/ x z)) (* -4 y))))
(fma.f64 (*.f64 #s(literal -4 binary64) y) z x)

rewrite249.0ms (5.8%)

Memory

41.3MiB live, 343.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	39
0	16	39
1	42	39
2	240	39
3	2344	39
0	8624	37

Stop Event

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

Counts

5 → 88

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

Outputs
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) y) z))
(.f64 (.f64 (neg.f64 z) #s(literal 4 binary64)) y)
(.f64 (neg.f64 (.f64 z #s(literal 4 binary64))) y)
(.f64 (.f64 #s(literal -4 binary64) z) y)
(.f64 (.f64 (neg.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 (.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 y) #s(literal -4 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 z) y))
(.f64 y (neg.f64 (.f64 z #s(literal 4 binary64))))
(.f64 y (.f64 #s(literal -4 binary64) z))
(neg.f64 (.f64 z (.f64 #s(literal 4 binary64) y)))
(*.f64 z y)
(*.f64 y z)
#s(approx (- x (* (* y 4) z)) (.f64 z (.f64 #s(literal 4 binary64) y)))
(.f64 (fabs.f64 (fabs.f64 z)) (fabs.f64 (.f64 (fabs.f64 y) #s(literal 4 binary64))))
(.f64 (fabs.f64 (.f64 (fabs.f64 y) #s(literal 4 binary64))) (fabs.f64 (fabs.f64 z)))
(.f64 (fabs.f64 (.f64 (fabs.f64 z) #s(literal 4 binary64))) (fabs.f64 (fabs.f64 y)))
(.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (.f64 (fabs.f64 z) #s(literal 4 binary64))))
(.f64 (fabs.f64 (fabs.f64 (.f64 z y))) #s(literal 4 binary64))
(.f64 (fabs.f64 (.f64 (neg.f64 z) #s(literal 4 binary64))) (fabs.f64 y))
(.f64 (fabs.f64 (.f64 #s(literal -4 binary64) z)) (fabs.f64 y))
(.f64 (sqrt.f64 (.f64 (.f64 y y) (.f64 z #s(literal 4 binary64)))) (sqrt.f64 (*.f64 z #s(literal 4 binary64))))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) (*.f64 #s(literal -4 binary64) z))) (sqrt.f64 y))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) (*.f64 #s(literal -4 binary64) y))) (sqrt.f64 z))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) #s(literal -4 binary64))) (sqrt.f64 (*.f64 z y)))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) (*.f64 z y))) (sqrt.f64 #s(literal -4 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) z)) (sqrt.f64 (*.f64 #s(literal -4 binary64) y)))
(.f64 (sqrt.f64 (.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) y)) (sqrt.f64 (*.f64 #s(literal -4 binary64) z)))
(.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) z)) (sqrt.f64 (.f64 y (.f64 (*.f64 #s(literal -4 binary64) y) z))))
(.f64 (sqrt.f64 (pow.f64 (.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))) (fabs.f64 y))
(.f64 (sqrt.f64 (.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) y)) (sqrt.f64 (*.f64 z #s(literal 4 binary64))))
(.f64 (sqrt.f64 (.f64 z #s(literal 4 binary64))) (sqrt.f64 (.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) y)))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal -4 binary64) y) z)) (sqrt.f64 (.f64 (*.f64 #s(literal -4 binary64) y) z)))
(.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) y)) (sqrt.f64 (.f64 z (.f64 (*.f64 #s(literal -4 binary64) y) z))))
(.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (.f64 (.f64 z y) (.f64 (*.f64 #s(literal -4 binary64) y) z))))
(.f64 (sqrt.f64 (.f64 #s(literal 16 binary64) (.f64 z y))) (sqrt.f64 (.f64 z y)))
(.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (.f64 #s(literal -4 binary64) (.f64 (*.f64 #s(literal -4 binary64) y) z))))
(.f64 (sqrt.f64 (.f64 z y)) (sqrt.f64 (.f64 #s(literal 16 binary64) (.f64 z y))))
(.f64 (sqrt.f64 (.f64 z (.f64 #s(literal 4 binary64) y))) (sqrt.f64 (.f64 z (*.f64 #s(literal 4 binary64) y))))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 z y)) y)) (sqrt.f64 z))
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 #s(literal -4 binary64) y) (.f64 (*.f64 #s(literal -4 binary64) y) z))))
(.f64 (sqrt.f64 z) (sqrt.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 z y)) y)))
(.f64 (sqrt.f64 (.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) z)) (sqrt.f64 (*.f64 #s(literal 4 binary64) y)))
(.f64 (sqrt.f64 (.f64 #s(literal 4 binary64) y)) (sqrt.f64 (.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) z)))
(.f64 (sqrt.f64 (.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 4 binary64))) #s(literal 2 binary64))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 z y)) z)) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 y (pow.f64 (*.f64 z #s(literal 4 binary64)) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 (.f64 #s(literal -4 binary64) z) (.f64 (*.f64 #s(literal -4 binary64) y) z))))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 (.f64 #s(literal 16 binary64) (.f64 z y)) z)))
(.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) (exp.f64 (log.f64 (.f64 z y))))
(.f64 (exp.f64 (log.f64 (.f64 z #s(literal 4 binary64)))) (exp.f64 (log.f64 y)))
(.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (.f64 z #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 z)) (exp.f64 (log.f64 (.f64 #s(literal 4 binary64) y))))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 4 binary64) y))) (exp.f64 (log.f64 z)))
(.f64 (fabs.f64 z) (.f64 (fabs.f64 y) #s(literal 4 binary64)))
(.f64 (.f64 (fabs.f64 y) #s(literal 4 binary64)) (fabs.f64 z))
(.f64 (fabs.f64 (.f64 z y)) #s(literal 4 binary64))
(.f64 (.f64 (fabs.f64 z) #s(literal 4 binary64)) (fabs.f64 y))
(.f64 (fabs.f64 y) (fabs.f64 (.f64 #s(literal -4 binary64) z)))
(.f64 (fabs.f64 y) (sqrt.f64 (pow.f64 (.f64 #s(literal -4 binary64) z) #s(literal 2 binary64))))
(.f64 (fabs.f64 y) (.f64 (fabs.f64 z) #s(literal 4 binary64)))
(.f64 #s(literal 2 binary64) (sqrt.f64 (.f64 (pow.f64 (*.f64 z y) #s(literal 2 binary64)) #s(literal 4 binary64))))
(.f64 (.f64 z #s(literal 4 binary64)) y)
(.f64 (.f64 z y) #s(literal 4 binary64))
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 (.f64 #s(literal 4 binary64) y) z)
(.f64 #s(literal 4 binary64) (fabs.f64 (fabs.f64 (.f64 z y))))
(.f64 #s(literal 4 binary64) (fabs.f64 (.f64 z y)))
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 y (.f64 z #s(literal 4 binary64)))
(pow.f64 (.f64 (.f64 #s(literal -4 binary64) y) z) #s(literal 1 binary64))
(pow.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(neg.f64 (.f64 (.f64 #s(literal -4 binary64) y) z))
(sqrt.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))
(fabs.f64 (.f64 (.f64 #s(literal -4 binary64) y) z))
(fabs.f64 (.f64 z (.f64 #s(literal 4 binary64) y)))
(exp.f64 (/.f64 (log.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) #s(literal 2 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 (cosh.f64 (log.f64 (.f64 z (.f64 #s(literal 4 binary64) y)))) (sinh.f64 (log.f64 (.f64 z (.f64 #s(literal 4 binary64) y)))))

eval9.0ms (0.2%)

Memory: 20.9MiB live, 20.9MiB allocated
Compiler: Compiled 1 556 to 293 computations (81.2% saved)

prune36.0ms (0.8%)

Memory

-36.5MiB live, 16.3MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	94	4	98

Accuracy

100.0%

Counts

98 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
✓	2.0%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal 4 binary64)))
✓	51.9%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
✓	51.9%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) y) z))

Compiler

Compiled 97 to 61 computations (37.1% saved)

regimes13.0ms (0.3%)

Memory

-7.8MiB live, 43.5MiB allocated

Counts

5 → 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)))
#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal 4 binary64)))
(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))

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

Calls

6 calls:

3.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)
2.0ms	z
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	x
2.0ms	y

Results

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

Compiler

Compiled 18 to 27 computations (-50% saved)

regimes10.0ms (0.2%)

Memory

33.2MiB live, 33.1MiB allocated

Accuracy

Total -32.3b remaining (-104.8%)

Threshold costs -32.3b (-104.8%)

Counts

3 → 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)))

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

Results

Accuracy	Segments	Branch
51.9%	1	`(*.f64 y #s(literal 4 binary64))`
51.9%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
51.9%	1	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
51.9%	1	`x`
51.9%	1	`y`
51.9%	1	`z`

Compiler

Compiled 18 to 27 computations (-50% saved)

simplify12.0ms (0.3%)

Memory

-28.3MiB live, 18.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	19
1	20	19
2	44	19
3	94	19
4	167	19
5	201	19

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness808.0ms (18.7%)

Memory

-1.1MiB live, 180.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	10	15
1	30	15
2	200	15
3	2053	15
0	8902	14
0	38	70
1	94	70
2	254	70
3	877	70
4	2729	70
5	4817	70
6	5610	70
7	6086	70
8	7724	70
0	8192	62

Stop Event

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

Compiler

Compiled 37 to 29 computations (21.6% saved)

preprocess18.0ms (0.4%)

Memory: 39.6MiB live, 39.6MiB allocated
Remove: (sort y z)
Compiler: Compiled 64 to 52 computations (18.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	26	69
1	67	66
2	171	66
3	360	66
4	441	66
5	453	66
0	7	7
0	10	7
1	17	7
2	42	7
3	90	7
4	155	7
5	189	7
0	189	6

Iter	Nodes	Cost
0	26	69
1	67	66
2	171	66
3	360	66
4	441	66
5	453	66
0	7	7
0	10	7
1	17	7
2	42	7
3	90	7
4	155	7
5	189	7
0	189	6

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (24%)

explain199.0ms (4.6%)

preprocess52.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify14.0ms (0.3%)

localize26.0ms (0.6%)

series8.0ms (0.2%)

simplify193.0ms (4.5%)

rewrite620.0ms (14.4%)

eval228.0ms (5.3%)

prune6.0ms (0.1%)

simplify16.0ms (0.4%)

localize96.0ms (2.2%)

series5.0ms (0.1%)

simplify103.0ms (2.4%)

rewrite233.0ms (5.4%)

eval63.0ms (1.5%)

prune14.0ms (0.3%)

simplify6.0ms (0.1%)

localize50.0ms (1.2%)

series14.0ms (0.3%)

simplify178.0ms (4.1%)

rewrite249.0ms (5.8%)

eval9.0ms (0.2%)

prune36.0ms (0.8%)

regimes13.0ms (0.3%)

regimes10.0ms (0.2%)

simplify12.0ms (0.3%)

soundness808.0ms (18.7%)

preprocess18.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	26	69
1	67	66
2	171	66
3	360	66
4	441	66
5	453	66
0	7	7
0	10	7
1	17	7
2	42	7
3	90	7
4	155	7
5	189	7
0	189	6