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

0.2MiB live, 0.2MiB 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)

sample963.0ms (30.7%)

Memory

-29.3MiB live, 647.5MiB allocated

Samples

613.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 365.0ms

ival-mult: 264.0ms (72.3% of total)

ival-sub: 87.0ms (23.8% of total)

ival-true: 6.0ms (1.6% of total)

exact: 5.0ms (1.4% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain90.0ms (2.9%)

Memory

-7.5MiB live, 116.5MiB 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

32.0ms

512×

valid

Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-mult: 15.0ms (83.2% of total)

ival-sub: 2.0ms (11.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess53.0ms (1.7%)

Memory

3.5MiB live, 42.4MiB 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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB 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)

simplify5.0ms (0.2%)

Memory

7.9MiB live, 7.9MiB 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

localize27.0ms (0.9%)

Memory

-11.4MiB live, 29.8MiB 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

11.0ms

256×

valid

Compiler

Compiled 40 to 16 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (62.6% of total)

ival-sub: 1.0ms (20.9% 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

10.4MiB live, 10.4MiB 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))
1.0ms	z	@	0	((- x (* (* y 4) z)) (* (* y 4) z) (* y 4))

simplify123.0ms (3.9%)

Memory

6.7MiB live, 116.1MiB 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)

rewrite219.0ms (7%)

Memory

-1.5MiB live, 272.8MiB 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))

eval39.0ms (1.2%)

Memory: 12.1MiB live, 96.7MiB allocated
Compiler: Compiled 11 053 to 820 computations (92.6% saved)

prune4.0ms (0.1%)

Memory

15.8MiB live, 15.8MiB 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)
▶	49.0%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) y) z))

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify6.0ms (0.2%)

Memory

6.0MiB live, 6.0MiB 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

localize74.0ms (2.4%)

Memory

-27.8MiB live, 49.3MiB 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	32.66881702657656	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) y) z))

Samples

23.0ms

256×

valid

Compiler

Compiled 71 to 28 computations (60.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 9.0ms (75.6% of total)

ival-sub: 1.0ms (8.4% of total)

ival-add: 1.0ms (8.4% 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

9.4MiB live, 9.4MiB 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	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))

simplify84.0ms (2.7%)

Memory

1.8MiB live, 81.9MiB 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)

rewrite178.0ms (5.7%)

Memory

-10.0MiB live, 221.8MiB 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))

eval110.0ms (3.5%)

Memory: -14.0MiB live, 135.5MiB allocated
Compiler: Compiled 7 362 to 796 computations (89.2% saved)

prune12.0ms (0.4%)

Memory

-3.9MiB live, 34.0MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	406	1	407
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	406	3	409

Accuracy

100.0%

Counts

409 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
▶	2.2%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal 4 binary64)))
✓	49.0%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) y) z))

Compiler

Compiled 32 to 28 computations (12.5% saved)

simplify5.0ms (0.2%)

Memory

9.5MiB live, 9.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 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)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	24
0	12	24
1	22	24
2	49	24
3	88	24
4	145	24
5	162	24
0	162	23

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)

Outputs
#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)

localize23.0ms (0.7%)

Memory

3.7MiB live, 41.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (.f64 z y) #s(literal 4 binary64))
accuracy	0.0	(*.f64 z y)
accuracy	62.607749081058785	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal 4 binary64)))

Samples

18.0ms

256×

valid

Compiler

Compiled 44 to 22 computations (50% saved)

Precisions

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

ival-mult: 7.0ms (84.8% of total)

ival-sub: 1.0ms (12.1% 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

7.7MiB live, 7.7MiB allocated

Counts

3 → 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)

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))
(* 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
1.0ms	y	@	-inf	((- x (* (* y 4) z)) (* (* z y) 4) (* z y))
1.0ms	z	@	-inf	((- x (* (* y 4) z)) (* (* z y) 4) (* z y))
0.0ms	z	@	inf	((- x (* (* y 4) z)) (* (* z y) 4) (* z y))
0.0ms	y	@	inf	((- x (* (* y 4) z)) (* (* z y) 4) (* z y))
0.0ms	y	@	0	((- x (* (* y 4) z)) (* (* z y) 4) (* z y))

simplify102.0ms (3.3%)

Memory

-10.3MiB live, 110.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	70
1	94	70
2	254	70
3	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)))
(* 4 (* y z))
(* 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)
(* 4 (* y z))
(.f64 (.f64 z y) #s(literal 4 binary64))
(* y z)
(*.f64 z y)
(* 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)

rewrite174.0ms (5.6%)

Memory

4.0MiB live, 279.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
0	12	21
1	35	21
2	231	21
3	2320	21
0	8441	20

Stop Event

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

Counts

3 → 62

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)

Outputs
#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 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 #s(literal -4 binary64) (.f64 z y)) (*.f64 #s(literal -4 binary64) y))) (sqrt.f64 z))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) z)) (sqrt.f64 (*.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 #s(literal -4 binary64) (.f64 z y))) (sqrt.f64 (.f64 #s(literal -4 binary64) (*.f64 z y))))
(.f64 (sqrt.f64 (.f64 #s(literal -4 binary64) y)) (sqrt.f64 (.f64 z (.f64 #s(literal -4 binary64) (*.f64 z y)))))
(.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 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 #s(literal -4 binary64) (*.f64 z y)))))
(.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 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 #s(literal 4 binary64) y))) (exp.f64 (log.f64 z)))
(.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 z #s(literal 4 binary64)))) (exp.f64 (log.f64 y)))
(.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 #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 #s(literal -4 binary64) (.f64 z y)) #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 #s(literal -4 binary64) (.f64 z y)))
(sqrt.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))
(fabs.f64 (.f64 #s(literal -4 binary64) (.f64 z y)))
(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 z y)
(*.f64 y z)

eval7.0ms (0.2%)

Memory: 9.9MiB live, 9.9MiB allocated
Compiler: Compiled 1 108 to 221 computations (80.1% saved)

prune4.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	66	3	69

Accuracy

100.0%

Counts

69 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 z #s(literal -4 binary64)) y x)
✓	2.2%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 z y) #s(literal 4 binary64)))
✓	49.0%	#s(approx (- x (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) y) z))

Compiler

Compiled 71 to 48 computations (32.4% saved)

regimes28.0ms (0.9%)

Memory

-12.0MiB live, 27.2MiB 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 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:

19.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	y
2.0ms	(.f64 (.f64 y #s(literal 4 binary64)) z)
2.0ms	(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))
2.0ms	x

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 (0.3%)

Memory

-19.1MiB live, 19.8MiB allocated

Accuracy

Total -30.4b remaining (-93%)

Threshold costs -30.4b (-93%)

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

Results

Accuracy	Segments	Branch
49.0%	1	`x`
49.0%	1	`y`
49.0%	1	`z`
49.0%	1	`(-.f64 x (.f64 (.f64 y #s(literal 4 binary64)) z))`
49.0%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
49.0%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 18 to 27 computations (-50% saved)

simplify10.0ms (0.3%)

Memory

20.2MiB live, 20.2MiB 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))

soundness746.0ms (23.8%)

Memory

-0.6MiB live, 205.7MiB 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)

preprocess22.0ms (0.7%)

Memory: -2.4MiB live, 36.6MiB 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%)

sample963.0ms (30.7%)

explain90.0ms (2.9%)

preprocess53.0ms (1.7%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.2%)

localize27.0ms (0.9%)

series6.0ms (0.2%)

simplify123.0ms (3.9%)

rewrite219.0ms (7%)

eval39.0ms (1.2%)

prune4.0ms (0.1%)

simplify6.0ms (0.2%)

localize74.0ms (2.4%)

series5.0ms (0.2%)

simplify84.0ms (2.7%)

rewrite178.0ms (5.7%)

eval110.0ms (3.5%)

prune12.0ms (0.4%)

simplify5.0ms (0.2%)

localize23.0ms (0.7%)

series3.0ms (0.1%)

simplify102.0ms (3.3%)

rewrite174.0ms (5.6%)

eval7.0ms (0.2%)

prune4.0ms (0.1%)

regimes28.0ms (0.9%)

regimes9.0ms (0.3%)

simplify10.0ms (0.3%)

soundness746.0ms (23.8%)

preprocess22.0ms (0.7%)

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