Metrics for Graphics.Rasterific.QuadraticFormula:discriminant from Rasterific-0.6.1

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 11 to 10 computations (9.1% saved)

sample1.0s (21.3%)

Memory

24.0MiB live, 692.8MiB allocated

Samples

649.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 256.0ms

ival-mult: 204.0ms (79.8% of total)

ival-sub: 37.0ms (14.5% of total)

ival-true: 6.0ms (2.3% of total)

exact: 5.0ms (2% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain137.0ms (2.9%)

Memory

5.9MiB live, 243.0MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`	nan-rescue	1	0
↳	`(*.f64 x x)`	overflow	58
↳	`(.f64 (.f64 y #s(literal 4 binary64)) z)`	overflow	25

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

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

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

58.0ms

512×

valid

Compiler

Compiled 109 to 50 computations (54.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 39.0ms (92.4% of total)

ival-sub: 2.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess68.0ms (1.4%)

Memory

-19.5MiB live, 71.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	88
1	99	84
2	255	81
3	609	81
4	908	81
5	1035	81
6	1075	81
7	1075	81
0	8	9
0	12	9
1	21	9
2	51	9
3	101	9
4	136	9
5	178	9
6	238	9
7	296	9
8	391	9
9	445	9
10	475	9
0	475	8

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

(sort y z)

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 3 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify18.0ms (0.4%)

Memory

-17.2MiB live, 21.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	21	24
2	51	24
3	101	24
4	136	24
5	178	24
6	238	24
7	296	24
8	391	24
9	445	24
10	475	24
0	475	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.4%)

Memory

2.5MiB live, 39.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (.f64 y #s(literal 4 binary64)) z)
accuracy	0	(*.f64 y #s(literal 4 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.24999793583020583	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Samples

14.0ms

256×

valid

Compiler

Compiled 50 to 18 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 5.0ms (79.1% of total)

ival-sub: 1.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.2%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

4 → 11

Calls

Call 1

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

Outputs
(* -4 (* y z))
(- (pow x 2) (* 4 (* y z)))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(+ (* -4 (* y z)) (pow x 2))
(* 4 (* y z))
(* 4 y)
(* y (- (/ (pow x 2) y) (* 4 z)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(* z (- (/ (pow x 2) z) (* 4 y)))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))

Calls

9 calls:

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

simplify106.0ms (2.2%)

Memory

0.8MiB live, 121.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	79
1	96	79
2	258	79
3	1039	79
4	3014	79
5	5776	79
6	7631	79
0	8087	72

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 11

Calls

Call 1

Inputs
(* -4 (* y z))
(- (pow x 2) (* 4 (* y z)))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(+ (* -4 (* y z)) (pow x 2))
(* 4 (* y z))
(* 4 y)
(* y (- (/ (pow x 2) y) (* 4 z)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(* z (- (/ (pow x 2) z) (* 4 y)))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))

Outputs
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(- (pow x 2) (* 4 (* y z)))
(fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))
(* 4 (* y z))
(.f64 #s(literal 4 binary64) (.f64 z y))
(* 4 y)
(*.f64 #s(literal 4 binary64) y)
(* y (- (/ (pow x 2) y) (* 4 z)))
(fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))
(* z (- (/ (pow x 2) z) (* 4 y)))
(fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))

rewrite225.0ms (4.7%)

Memory

-17.8MiB live, 261.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
0	12	20
1	36	20
2	242	20
3	2285	20
0	8408	19

Stop Event

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

Counts

4 → 199

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.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) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))))))
(.f64 (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 (.f64 z y) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)))) (-.f64 (.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))) (fma.f64 (.f64 z y) #s(literal -4 binary64) (*.f64 x x)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (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 6 binary64)))) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (-.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 z y) #s(literal -4 binary64) (*.f64 x x)))
(.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)))) (pow.f64 (neg.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)) (/.f64 (fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 z (.f64 #s(literal 4 binary64) y) (*.f64 x x))))
(.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)) (.f64 (fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x)) (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (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) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x)) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x)) (pow.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))) (fma.f64 (fma.f64 x x #s(literal 0 binary64)) (fma.f64 x x #s(literal 0 binary64)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 z (.f64 #s(literal 4 binary64) y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (.f64 x x)) (-.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (.f64 x x)) (.f64 #s(literal 0 binary64) (-.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (*.f64 x x))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)) #s(literal 3 binary64))) (pow.f64 (neg.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))))) (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))))))))
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(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64)) (.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)) (fma.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) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))) (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)) (.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)) (fma.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) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)) (.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))))) (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 9 binary64)) (.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64))) (neg.f64 (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (neg.f64 (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (/.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 4 binary64)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (fma.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) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (/.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)) (fma.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) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 z (.f64 x x)) (.f64 #s(literal -4 binary64) y))))) (/.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 z (.f64 x x)) (.f64 #s(literal -4 binary64) y))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (fma.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 z (.f64 x x)) (.f64 #s(literal -4 binary64) y))))) (/.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 9 binary64)) (fma.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 z (.f64 x x)) (.f64 #s(literal -4 binary64) y))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 z (.f64 x x)) (.f64 #s(literal -4 binary64) y))))) (/.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 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 z (.f64 x x)) (.f64 #s(literal -4 binary64) y))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 6 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (fma.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 9 binary64)) (fma.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 #s(literal -64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 z (.f64 #s(literal 4 binary64) y)))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x 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) (.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.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) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (.f64 x x) (.f64 z (*.f64 #s(literal 4 binary64) y)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 z y) #s(literal -4 binary64) (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 2 binary64)) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 3 binary64)) (fma.f64 (.f64 z y) (.f64 #s(literal 4 binary64) (fma.f64 z (.f64 #s(literal 4 binary64) y) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (.f64 (.f64 z y) #s(literal -4 binary64)) (*.f64 x x))
(+.f64 (.f64 x x) (.f64 (*.f64 z y) #s(literal -4 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (exp.f64 (log.f64 (.f64 z y))) (exp.f64 (log.f64 #s(literal 4 binary64))))
(.f64 (exp.f64 (log.f64 #s(literal 4 binary64))) (exp.f64 (log.f64 (.f64 z y))))
(.f64 (exp.f64 (log.f64 (.f64 z #s(literal 4 binary64)))) (exp.f64 (log.f64 y)))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 4 binary64) y))) (exp.f64 (log.f64 z)))
(.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 (.f64 #s(literal 4 binary64) y))))
(.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (.f64 z #s(literal 4 binary64)))))
(.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) y) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 z y) #s(literal 1 binary64)) #s(literal 4 binary64))
(.f64 (pow.f64 (.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (.f64 z #s(literal 4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 z y) #s(literal 4 binary64))
(.f64 (.f64 z #s(literal 4 binary64)) y)
(.f64 z (.f64 #s(literal 4 binary64) y))
(.f64 (.f64 #s(literal 4 binary64) y) z)
(.f64 #s(literal 4 binary64) (pow.f64 (.f64 z y) #s(literal 1 binary64)))
(.f64 #s(literal 4 binary64) (.f64 z y))
(.f64 y (.f64 z #s(literal 4 binary64)))
(pow.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (.f64 z (*.f64 #s(literal 4 binary64) y))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (.f64 z (.f64 #s(literal 4 binary64) y))))
(*.f64 #s(literal 4 binary64) y)
(*.f64 y #s(literal 4 binary64))

eval23.0ms (0.5%)

Memory: 11.1MiB live, 47.1MiB allocated
Compiler: Compiled 8 139 to 626 computations (92.3% saved)

prune3.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	202	2	204
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	203	2	205

Accuracy

100.0%

Counts

205 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))
▶	54.7%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify18.0ms (0.4%)

Memory

-13.8MiB live, 24.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	44
0	18	44
1	32	43
2	63	43
3	102	43
4	139	43
5	181	43
6	241	43
7	300	43
8	394	43
9	448	43
10	478	43
0	478	43

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize30.0ms (0.6%)

Memory

17.7MiB live, 53.1MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 z y)
accuracy	0	(*.f64 x x)
accuracy	0.24999793583020583	(fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))
accuracy	0	(*.f64 z y)
accuracy	0.017910009768442016	(.f64 (.f64 z y) #s(literal -4 binary64))
accuracy	29.007485860648295	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Samples

23.0ms

256×

valid

Compiler

Compiled 85 to 28 computations (67.1% saved)

Precisions

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

ival-mult: 8.0ms (73.5% of total)

ival-sub: 1.0ms (9.2% of total)

ival-add: 1.0ms (9.2% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated

Counts

5 → 14

Calls

Call 1

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

Outputs
(* -4 (* y z))
(- (pow x 2) (* 4 (* y z)))
(+ (* -4 (* y z)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* y z)
(* y (- (/ (pow x 2) y) (* 4 z)))
(* y (+ (* -4 z) (/ (pow x 2) y)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))
(* z (- (/ (pow x 2) z) (* 4 y)))
(* z (+ (* -4 y) (/ (pow x 2) z)))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))

Calls

9 calls:

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

simplify136.0ms (2.9%)

Memory

-23.5MiB live, 101.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	110
1	134	110
2	365	110
3	1178	110
4	3286	110
5	6647	110
0	8133	99

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 14

Calls

Call 1

Inputs
(* -4 (* y z))
(- (pow x 2) (* 4 (* y z)))
(+ (* -4 (* y z)) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(* y z)
(* y (- (/ (pow x 2) y) (* 4 z)))
(* y (+ (* -4 z) (/ (pow x 2) y)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))
(* z (- (/ (pow x 2) z) (* 4 y)))
(* z (+ (* -4 y) (/ (pow x 2) z)))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))

Outputs
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(- (pow x 2) (* 4 (* y z)))
(fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 x x))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 x x))
(* y z)
(*.f64 z y)
(* y (- (/ (pow x 2) y) (* 4 z)))
(fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 x x))
(* y (+ (* -4 z) (/ (pow x 2) y)))
(fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 x x))
(* -1 (* y (+ (* -1 (/ (pow x 2) y)) (* 4 z))))
(fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 x x))
(* z (- (/ (pow x 2) z) (* 4 y)))
(fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 x x))
(* z (+ (* -4 y) (/ (pow x 2) z)))
(fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 x x))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 x x))
(* -1 (* z (+ (* -1 (/ (pow x 2) z)) (* 4 y))))
(fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 x x))

rewrite207.0ms (4.4%)

Memory

33.6MiB live, 225.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	34
0	18	34
1	57	33
2	400	33
3	4476	33
0	8190	33

Stop Event

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

Counts

5 → 188

Calls

Call 1

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

Outputs
#s(approx (- (* x x) (* (* y 4) z)) (.f64 #s(literal -4 binary64) (.f64 z y)))
(.f64 (exp.f64 (log.f64 (neg.f64 y))) (exp.f64 (log.f64 (.f64 z #s(literal 4 binary64)))))
(.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (.f64 z (*.f64 #s(literal 4 binary64) y)))
(.f64 (exp.f64 (log.f64 (neg.f64 z))) (exp.f64 (log.f64 (.f64 #s(literal 4 binary64) y))))
(.f64 (exp.f64 (log.f64 #s(literal -4 binary64))) (exp.f64 (log.f64 (.f64 z y))))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal -4 binary64) z))) (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 y)) (exp.f64 (log.f64 (.f64 #s(literal -4 binary64) z))))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 4 binary64) y))) (exp.f64 (log.f64 (neg.f64 z))))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal -4 binary64) y))) (exp.f64 (log.f64 z)))
(.f64 (exp.f64 (log.f64 (.f64 z y))) (exp.f64 (log.f64 #s(literal -4 binary64))))
(.f64 (.f64 (neg.f64 z) y) #s(literal 4 binary64))
(.f64 (.f64 (neg.f64 y) z) #s(literal 4 binary64))
(.f64 (.f64 #s(literal -1 binary64) (*.f64 z y)) #s(literal 4 binary64))
(.f64 (.f64 z (neg.f64 y)) #s(literal 4 binary64))
(.f64 (.f64 z #s(literal -1 binary64)) (*.f64 #s(literal 4 binary64) y))
(.f64 (neg.f64 (.f64 z y)) #s(literal 4 binary64))
(.f64 (.f64 #s(literal -4 binary64) z) y)
(.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y))
(.f64 (neg.f64 y) (.f64 z #s(literal 4 binary64)))
(.f64 #s(literal -1 binary64) (.f64 z (*.f64 #s(literal 4 binary64) y)))
(.f64 (.f64 z #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 (.f64 z (*.f64 #s(literal 4 binary64) y)) #s(literal -1 binary64))
(.f64 z (.f64 #s(literal -4 binary64) y))
(.f64 (.f64 #s(literal 4 binary64) y) (neg.f64 z))
(.f64 #s(literal 4 binary64) (.f64 y (neg.f64 z)))
(.f64 #s(literal 4 binary64) (.f64 (neg.f64 y) z))
(.f64 #s(literal 4 binary64) (neg.f64 (.f64 z y)))
(.f64 y (.f64 #s(literal -4 binary64) z))
(pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 1 binary64))
(/.f64 (neg.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64))) (+.f64 #s(literal 0 binary64) (.f64 z (.f64 #s(literal 4 binary64) y))))
(/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 #s(literal 0 binary64) (.f64 z (.f64 #s(literal 4 binary64) y))))))
(neg.f64 (.f64 z (.f64 #s(literal 4 binary64) y)))
(-.f64 #s(literal 0 binary64) (.f64 z (.f64 #s(literal 4 binary64) y)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal -4 binary64) (*.f64 z y))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (.f64 #s(literal -4 binary64) (.f64 z y))))
(+.f64 #s(literal 0 binary64) (.f64 #s(literal -4 binary64) (.f64 z y)))
(*.f64 z y)
(*.f64 y z)
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -4 binary64) z) y (*.f64 x x)))))
(.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))))))
(.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 (.f64 z y) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 4 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) #s(literal 2 binary64))))) (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) (*.f64 x x))))
(.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 (.f64 z y) #s(literal 6 binary64)) #s(literal 4096 binary64) (.f64 (pow.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) (-.f64 (.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) (.f64 x x)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64))) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 4 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal -4 binary64) z) y (*.f64 x x)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal -4 binary64) z) y (*.f64 x x)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (-.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (*.f64 z y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal -4 binary64) z) y (*.f64 x x)))
(.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (pow.f64 (neg.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)))
(.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x))))
(.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x)) (pow.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x))))
(.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (/.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) (.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x)) (pow.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x)) (/.f64 (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x)))))
(.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x)) (.f64 (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))))
(pow.f64 (/.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64))) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64))) (fma.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 4 binary64)) (pow.f64 x #s(literal 8 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 6 binary64)) (pow.f64 x #s(literal 12 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (fma.f64 #s(literal 256 binary64) (pow.f64 (.f64 z y) #s(literal 4 binary64)) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z (.f64 (*.f64 x x) y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)))))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 6 binary64))) (pow.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
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(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 (.f64 #s(literal -4 binary64) z))) (.f64 x x))
(fma.f64 (exp.f64 (log.f64 (.f64 #s(literal 4 binary64) y))) (exp.f64 (log.f64 (neg.f64 z))) (.f64 x x))
(fma.f64 (exp.f64 (log.f64 (.f64 #s(literal -4 binary64) y))) (exp.f64 (log.f64 z)) (.f64 x x))
(fma.f64 (exp.f64 (log.f64 (.f64 z y))) (exp.f64 (log.f64 #s(literal -4 binary64))) (.f64 x x))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (neg.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fma.f64 #s(literal 16 binary64) (pow.f64 (.f64 z y) #s(literal 2 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))))))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 (.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 (.f64 z y) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (-.f64 (.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 8 binary64))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 (.f64 z y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (-.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)))) (fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x)) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))))
(fma.f64 (.f64 (neg.f64 z) y) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (.f64 (neg.f64 y) z) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (.f64 #s(literal -1 binary64) (.f64 z y)) #s(literal 4 binary64) (*.f64 x x))
(fma.f64 (.f64 z (neg.f64 y)) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (.f64 z #s(literal -1 binary64)) (.f64 #s(literal 4 binary64) y) (*.f64 x x))
(fma.f64 (neg.f64 (.f64 z y)) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (.f64 #s(literal 16 binary64) (.f64 z y)) (/.f64 (.f64 z y) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x))))))
(fma.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal -4 binary64)) (/.f64 #s(literal -4 binary64) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))))))
(fma.f64 (.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) z) (/.f64 (.f64 #s(literal -4 binary64) y) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))))))
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
(fma.f64 (neg.f64 z) (.f64 #s(literal 4 binary64) y) (.f64 x x))
(fma.f64 (neg.f64 y) (.f64 z #s(literal 4 binary64)) (.f64 x x))
(fma.f64 #s(literal 16 binary64) (/.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x))))))
(fma.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) (/.f64 #s(literal 16 binary64) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x))))))
(fma.f64 (.f64 z z) (/.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))))
(fma.f64 #s(literal -1 binary64) (.f64 z (.f64 #s(literal 4 binary64) y)) (*.f64 x x))
(fma.f64 (.f64 z #s(literal 4 binary64)) (neg.f64 y) (.f64 x x))
(fma.f64 (.f64 #s(literal -4 binary64) y) z (.f64 x x))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 (.f64 x x) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))))
(fma.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (.f64 x x) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))))
(fma.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) (/.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))))))
(fma.f64 #s(literal -4 binary64) (/.f64 (.f64 (pow.f64 (.f64 z y) #s(literal 2 binary64)) #s(literal -4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))))))
(fma.f64 #s(literal -4 binary64) (.f64 z y) (.f64 x x))
(fma.f64 (.f64 z y) (/.f64 (.f64 #s(literal 16 binary64) (.f64 z y)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x))))))
(fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))
(fma.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) #s(literal -1 binary64) (*.f64 x x))
(fma.f64 z (/.f64 (.f64 (.f64 (.f64 y y) #s(literal 16 binary64)) z) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (*.f64 x x))))))
(fma.f64 z (.f64 #s(literal -4 binary64) y) (.f64 x x))
(fma.f64 (.f64 #s(literal 4 binary64) y) (neg.f64 z) (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 y (neg.f64 z)) (.f64 x x))
(fma.f64 #s(literal 4 binary64) (.f64 (neg.f64 y) z) (.f64 x x))
(fma.f64 #s(literal 4 binary64) (neg.f64 (.f64 z y)) (.f64 x x))
(fma.f64 y (.f64 #s(literal -4 binary64) z) (.f64 x x))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))))
(fma.f64 x x (.f64 #s(literal -4 binary64) (.f64 z y)))
(-.f64 (fma.f64 x x #s(literal 0 binary64)) (.f64 z (.f64 #s(literal 4 binary64) y)))
(-.f64 #s(literal 0 binary64) (-.f64 (.f64 z (.f64 #s(literal 4 binary64) y)) (*.f64 x x)))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))))
(-.f64 (.f64 x x) (.f64 z (*.f64 #s(literal 4 binary64) y)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 (.f64 #s(literal -4 binary64) z) y (*.f64 x x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 3 binary64)) (fma.f64 (.f64 z #s(literal 4 binary64)) (.f64 y (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) #s(literal 2 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (neg.f64 (fma.f64 (.f64 z y) #s(literal 4 binary64) (.f64 x x))))))
(+.f64 (.f64 x x) (.f64 #s(literal -4 binary64) (*.f64 z y)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 z y)) (*.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval36.0ms (0.7%)

Memory: -10.9MiB live, 40.6MiB allocated
Compiler: Compiled 5 413 to 522 computations (90.4% saved)

prune18.0ms (0.4%)

Memory

-24.2MiB live, 13.0MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	195	1	196
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	195	3	198

Accuracy

100.0%

Counts

198 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

✓

99.6%

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

✓

54.7%

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

▶

54.7%

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

Compiler

Compiled 38 to 31 computations (18.4% saved)

simplify16.0ms (0.3%)

Memory

9.8MiB live, 9.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	26
0	14	26
1	27	26
2	59	26
3	98	26
4	135	26
5	177	26
6	237	26
7	298	26
8	392	26
9	446	26
10	476	26
0	476	25

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize22.0ms (0.5%)

Memory

15.1MiB live, 15.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (.f64 #s(literal -4 binary64) z) y)
accuracy	0	(*.f64 #s(literal -4 binary64) z)
accuracy	29.007485860648295	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))

Samples

16.0ms

256×

valid

Compiler

Compiled 48 to 25 computations (47.9% saved)

Precisions

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

ival-mult: 7.0ms (76.9% of total)

ival-sub: 1.0ms (11% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

3 → 10

Calls

Call 1

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

Outputs
(* -4 (* y z))
(- (pow x 2) (* 4 (* y z)))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(+ (* -4 (* y z)) (pow x 2))
(* y (- (/ (pow x 2) y) (* 4 z)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(* -4 z)
(* z (- (/ (pow x 2) z) (* 4 y)))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))

Calls

9 calls:

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

simplify151.0ms (3.2%)

Memory

-16.1MiB live, 102.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	74
1	96	74
2	258	74
3	1040	74
4	3017	74
5	5779	74
6	7635	74
0	8102	67

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 10

Calls

Call 1

Inputs
(* -4 (* y z))
(- (pow x 2) (* 4 (* y z)))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(+ (* -4 (* y z)) (pow x 2))
(* y (- (/ (pow x 2) y) (* 4 z)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(* -4 z)
(* z (- (/ (pow x 2) z) (* 4 y)))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))

Outputs
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(- (pow x 2) (* 4 (* y z)))
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
(* y (- (/ (pow x 2) y) (* 4 z)))
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
(* -4 z)
(*.f64 #s(literal -4 binary64) z)
(* z (- (/ (pow x 2) z) (* 4 y)))
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))

rewrite207.0ms (4.4%)

Memory

5.2MiB live, 206.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
0	14	23
1	42	23
2	250	23
3	2284	23
0	8335	22

Stop Event

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

Counts

3 → 42

Calls

Call 1

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

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

eval5.0ms (0.1%)

Memory: 12.9MiB live, 12.9MiB allocated
Compiler: Compiled 899 to 152 computations (83.1% saved)

prune5.0ms (0.1%)

Memory

-30.0MiB live, 7.2MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	46	3	49

Accuracy

100.0%

Counts

49 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))
✓	54.7%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
▶	53.1%	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Compiler

Compiled 36 to 29 computations (19.4% saved)

simplify15.0ms (0.3%)

Memory

26.0MiB live, 26.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
0	11	17
1	20	17
2	50	17
3	100	17
4	137	17
5	179	17
6	239	17
7	298	17
8	392	17
9	446	17
10	476	17
0	476	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.4%)

Memory

8.9MiB live, 44.1MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 x x)
accuracy	29.988823020025396	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Samples

16.0ms

256×

valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

Precisions

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

ival-mult: 6.0ms (79.2% of total)

ival-sub: 1.0ms (13.2% 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

-46.0MiB live, 6.7MiB allocated

Counts

2 → 9

Calls

Call 1

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

Outputs
(* -4 (* y z))
(- (pow x 2) (* 4 (* y z)))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(+ (* -4 (* y z)) (pow x 2))
(* y (- (/ (pow x 2) y) (* 4 z)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(* z (- (/ (pow x 2) z) (* 4 y)))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	((- (* x x) (* (* y 4) z)) (* x x))
0.0ms	x	@	inf	((- (* x x) (* (* y 4) z)) (* x x))
0.0ms	x	@	-inf	((- (* x x) (* (* y 4) z)) (* x x))
0.0ms	x	@	0	((- (* x x) (* (* y 4) z)) (* x x))
0.0ms	y	@	-inf	((- (* x x) (* (* y 4) z)) (* x x))

simplify119.0ms (2.5%)

Memory

29.5MiB live, 106.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	71
1	96	71
2	258	71
3	1040	71
4	3017	71
5	5779	71
6	7635	71
0	8102	64

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 9

Calls

Call 1

Inputs
(* -4 (* y z))
(- (pow x 2) (* 4 (* y z)))
(pow x 2)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(+ (* -4 (* y z)) (pow x 2))
(* y (- (/ (pow x 2) y) (* 4 z)))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(* z (- (/ (pow x 2) z) (* 4 y)))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))

Outputs
(* -4 (* y z))
(.f64 (.f64 z y) #s(literal -4 binary64))
(- (pow x 2) (* 4 (* y z)))
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (* -4 (/ (* y z) (pow x 2)))))
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
(+ (* -4 (* y z)) (pow x 2))
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
(* y (- (/ (pow x 2) y) (* 4 z)))
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
(* -1 (* y (- (* -1 (/ (pow x 2) y)) (* -4 z))))
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
(* z (- (/ (pow x 2) z) (* 4 y)))
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
(* -1 (* z (- (* -1 (/ (pow x 2) z)) (* -4 y))))
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))

rewrite302.0ms (6.3%)

Memory

0.0MiB live, 187.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	16
0	11	16
1	35	16
2	241	16
3	2274	16
0	8399	15

Stop Event

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

Counts

2 → 7

Calls

Call 1

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

Outputs
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval1.0ms (0%)

Memory: 2.8MiB live, 2.8MiB allocated
Compiler: Compiled 151 to 35 computations (76.8% saved)

prune2.0ms (0%)

Memory

5.4MiB live, 5.5MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	10	0	10
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	10	3	13

Accuracy

100.0%

Counts

13 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))
✓	54.7%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
✓	53.1%	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Compiler

Compiled 96 to 51 computations (46.9% saved)

regimes44.0ms (0.9%)

Memory

-26.7MiB live, 57.4MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

7 calls:

27.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
5.0ms	x
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	z
2.0ms	y

Results

Accuracy	Segments	Branch
99.6%	1	`x`
99.6%	1	`y`
99.6%	1	`z`
99.6%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
99.6%	1	`(*.f64 x x)`
99.6%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
99.6%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 23 to 32 computations (-39.1% saved)

regimes13.0ms (0.3%)

Memory

36.0MiB live, 36.0MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
90.8%	2	`x`
69.9%	3	`y`
75.0%	3	`z`
80.2%	2	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
90.8%	2	`(*.f64 x x)`
77.9%	3	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
69.9%	3	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 23 to 32 computations (-39.1% saved)

regimes13.0ms (0.3%)

Memory

-0.4MiB live, 34.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

7 calls:

4.0ms	(*.f64 x x)
1.0ms	z
1.0ms	(*.f64 y #s(literal 4 binary64))
1.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))
1.0ms	x

Results

Accuracy	Segments	Branch
53.1%	1	`y`
53.1%	1	`(*.f64 y #s(literal 4 binary64))`
53.1%	1	`z`
53.1%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
53.1%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
53.1%	1	`x`
53.1%	1	`(*.f64 x x)`

Compiler

Compiled 23 to 32 computations (-39.1% saved)

bsearch30.0ms (0.6%)

Memory

-17.9MiB live, 20.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	6.36231737905497e+27	6.142351216079147e+36

Samples

6.0ms

144×

valid

Compiler

Compiled 246 to 221 computations (10.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (73.2% of total)

ival-sub: 1.0ms (36.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify76.0ms (1.6%)

Memory

-21.5MiB live, 79.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	55
1	22	55

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 x x) #s(literal 230000000000000010202963247104 binary64)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 (*.f64 #s(literal -4 binary64) z) y)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)))

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

Outputs
(fma.f64 (.f64 z y) #s(literal -4 binary64) (.f64 x x))
(fma.f64 (.f64 y z) #s(literal -4 binary64) (.f64 x x))
(if (<=.f64 (.f64 x x) #s(literal 230000000000000010202963247104 binary64)) #s(approx (- ( x x) (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y)) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

soundness1.6s (33%)

Memory

-0.9MiB live, 396.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	74
1	96	74
2	258	74
3	1040	74
4	3017	74
5	5779	74
6	7635	74
0	8102	67
0	36	79
1	96	79
2	258	79
3	1039	79
4	3014	79
5	5776	79
6	7631	79
0	8087	72
0	14	34
0	18	34
1	57	33
2	400	33
3	4476	33
0	8190	33
0	8	20
0	12	20
1	36	20
2	242	20
3	2285	20
0	8408	19

Stop Event

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

Compiler

Compiled 138 to 92 computations (33.3% saved)

preprocess63.0ms (1.3%)

Memory

10.0MiB live, 49.6MiB allocated

Remove

(sort y z)

(abs x)

Compiler

Compiled 192 to 110 computations (42.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	24
0	12	24
1	21	24
2	51	24
3	101	24
4	136	24
5	178	24
6	238	24
7	296	24
8	391	24
9	445	24
10	475	24
0	475	23

Iter	Nodes	Cost
0	14	44
0	18	44
1	32	43
2	63	43
3	102	43
4	139	43
5	181	43
6	241	43
7	300	43
8	394	43
9	448	43
10	478	43
0	478	43

Iter	Nodes	Cost
0	12	26
0	14	26
1	27	26
2	59	26
3	98	26
4	135	26
5	177	26
6	237	26
7	298	26
8	392	26
9	446	26
10	476	26
0	476	25

Iter	Nodes	Cost
0	10	17
0	11	17
1	20	17
2	50	17
3	100	17
4	137	17
5	179	17
6	239	17
7	298	17
8	392	17
9	446	17
10	476	17
0	476	16

Iter	Nodes	Cost
0	8	24
0	12	24
1	21	24
2	51	24
3	101	24
4	136	24
5	178	24
6	238	24
7	296	24
8	391	24
9	445	24
10	475	24
0	475	23

Iter	Nodes	Cost
0	14	44
0	18	44
1	32	43
2	63	43
3	102	43
4	139	43
5	181	43
6	241	43
7	300	43
8	394	43
9	448	43
10	478	43
0	478	43

Iter	Nodes	Cost
0	12	26
0	14	26
1	27	26
2	59	26
3	98	26
4	135	26
5	177	26
6	237	26
7	298	26
8	392	26
9	446	26
10	476	26
0	476	25

Iter	Nodes	Cost
0	10	17
0	11	17
1	20	17
2	50	17
3	100	17
4	137	17
5	179	17
6	239	17
7	298	17
8	392	17
9	446	17
10	476	17
0	476	16

start0.0ms (0%)

analyze0.0ms (0%)

sample1.0s (21.3%)

explain137.0ms (2.9%)

preprocess68.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify18.0ms (0.4%)

localize21.0ms (0.4%)

series7.0ms (0.2%)

simplify106.0ms (2.2%)

rewrite225.0ms (4.7%)

eval23.0ms (0.5%)

prune3.0ms (0.1%)

simplify18.0ms (0.4%)

localize30.0ms (0.6%)

series5.0ms (0.1%)

simplify136.0ms (2.9%)

rewrite207.0ms (4.4%)

eval36.0ms (0.7%)

prune18.0ms (0.4%)

simplify16.0ms (0.3%)

localize22.0ms (0.5%)

series4.0ms (0.1%)

simplify151.0ms (3.2%)

rewrite207.0ms (4.4%)

eval5.0ms (0.1%)

prune5.0ms (0.1%)

simplify15.0ms (0.3%)

localize21.0ms (0.4%)

series8.0ms (0.2%)

simplify119.0ms (2.5%)

rewrite302.0ms (6.3%)

eval1.0ms (0%)

prune2.0ms (0%)

regimes44.0ms (0.9%)

regimes13.0ms (0.3%)

regimes13.0ms (0.3%)

bsearch30.0ms (0.6%)

simplify76.0ms (1.6%)

soundness1.6s (33%)

preprocess63.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	24
0	12	24
1	21	24
2	51	24
3	101	24
4	136	24
5	178	24
6	238	24
7	296	24
8	391	24
9	445	24
10	475	24
0	475	23

Iter	Nodes	Cost
0	14	44
0	18	44
1	32	43
2	63	43
3	102	43
4	139	43
5	181	43
6	241	43
7	300	43
8	394	43
9	448	43
10	478	43
0	478	43

Iter	Nodes	Cost
0	12	26
0	14	26
1	27	26
2	59	26
3	98	26
4	135	26
5	177	26
6	237	26
7	298	26
8	392	26
9	446	26
10	476	26
0	476	25

Iter	Nodes	Cost
0	10	17
0	11	17
1	20	17
2	50	17
3	100	17
4	137	17
5	179	17
6	239	17
7	298	17
8	392	17
9	446	17
10	476	17
0	476	16