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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze3.0ms (0.1%)

Memory

-37.1MiB live, 0.7MiB 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)

sample732.0ms (15.3%)

Memory

50.9MiB live, 994.9MiB allocated

Samples

504.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 275.0ms

ival-mult: 224.0ms (81.3% of total)

ival-sub: 36.0ms (13.1% of total)

ival-true: 6.0ms (2.2% of total)

exact: 6.0ms (2.2% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain113.0ms (2.4%)

Memory

-7.6MiB live, 113.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
7	-	-	`(-.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	7	0
↳	`(*.f64 x x)`	overflow	63
↳	`(.f64 (.f64 y #s(literal 4 binary64)) z)`	overflow	39

Confusion

	Predicted +	Predicted -
+	7	0
-	0	249

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	7	0	0
-	0	0	249

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	249
1	7

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

28.0ms

512×

valid

Compiler

Compiled 85 to 36 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 10.0ms (75.3% of total)

ival-sub: 2.0ms (15.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess45.0ms (0.9%)

Memory

2.7MiB live, 40.9MiB 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: 0.2MiB 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
▶	97.2%	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify19.0ms (0.4%)

Memory

-18.1MiB live, 18.0MiB 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

localize19.0ms (0.4%)

Memory

32.2MiB live, 32.2MiB allocated

Localize:

Found 4 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	0.0	(*.f64 x x)
accuracy	1.5637513391112714	(-.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: 7.0ms

ival-mult: 5.0ms (75.8% of total)

ival-sub: 1.0ms (15.2% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

-20.2MiB live, 15.8MiB 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
4.0ms	x	@	0	((- (* x x) (* (* y 4) z)) (* x x) (* (* y 4) z) (* y 4))
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))

simplify108.0ms (2.2%)

Memory

15.8MiB live, 96.3MiB 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))

rewrite345.0ms (7.2%)

Memory

-38.1MiB live, 305.6MiB 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))))))
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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: 22.1MiB live, 58.1MiB allocated
Compiler: Compiled 8 139 to 626 computations (92.3% saved)

prune5.0ms (0.1%)

Memory

-23.8MiB live, 14.3MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	201	3	204
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	202	3	205

Accuracy

100.0%

Counts

205 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
▶	98.4%	(fma.f64 x x (.f64 (.f64 z y) #s(literal -4 binary64)))
▶	55.6%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Compiler

Compiled 31 to 26 computations (16.1% saved)

simplify15.0ms (0.3%)

Memory

29.9MiB live, 29.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	64
0	23	64
1	40	63
2	65	63
3	104	63
4	141	63
5	183	63
6	243	63
7	302	63
8	397	63
9	451	63
10	481	63
0	481	63

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

localize79.0ms (1.6%)

Memory

-18.1MiB live, 64.2MiB allocated

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 #s(literal -4 binary64) z)
accuracy	0.7639955025851226	(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
accuracy	0.0	(*.f64 z y)
accuracy	0.03419877930532605	(.f64 (.f64 z y) #s(literal -4 binary64))
accuracy	1.0109552205865284	(fma.f64 x x (.f64 (.f64 z y) #s(literal -4 binary64)))
accuracy	0.0	(*.f64 z y)
accuracy	0.03419877930532605	(.f64 (.f64 z y) #s(literal -4 binary64))
accuracy	28.40432727134245	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))

Samples

56.0ms

256×

valid

Compiler

Compiled 126 to 33 computations (73.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 46.0ms

ival-sub: 31.0ms (67.5% of total)

ival-mult: 13.0ms (28.3% of total)

ival-add: 2.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series933.0ms (19.5%)

Memory

-17.1MiB live, 17.7MiB allocated

Counts

7 → 15

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 x x (.f64 (.f64 z y) #s(literal -4 binary64)))
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
(*.f64 #s(literal -4 binary64) z)
(*.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))))
(* -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
927.0ms	z	@	-inf	((- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* x x) (* (* z y) -4)) (+ (* (* -4 z) y) (* x x)) (* -4 z) (* x x))
1.0ms	y	@	-inf	((- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* x x) (* (* z y) -4)) (+ (* (* -4 z) y) (* x x)) (* -4 z) (* x x))
1.0ms	z	@	inf	((- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* x x) (* (* z y) -4)) (+ (* (* -4 z) y) (* x x)) (* -4 z) (* x x))
1.0ms	z	@	0	((- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* x x) (* (* z y) -4)) (+ (* (* -4 z) y) (* x x)) (* -4 z) (* x x))
1.0ms	x	@	0	((- (* x x) (* (* y 4) z)) (* (* z y) -4) (* z y) (+ (* x x) (* (* z y) -4)) (+ (* (* -4 z) y) (* x x)) (* -4 z) (* x x))

simplify113.0ms (2.4%)

Memory

26.3MiB live, 147.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	113
1	134	113
2	365	113
3	1178	113
4	3286	113
5	6647	113
0	8133	102

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

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

rewrite266.0ms (5.5%)

Memory

6.2MiB live, 168.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	45
0	23	45
1	80	44
2	540	44
3	6785	44
0	8005	44

Stop Event

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

Counts

7 → 432

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

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

eval30.0ms (0.6%)

Memory: 5.3MiB live, 79.8MiB allocated
Compiler: Compiled 6 392 to 567 computations (91.1% saved)

prune15.0ms (0.3%)

Memory

-25.7MiB live, 25.3MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	263	1	264
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	263	4	267

Accuracy

100.0%

Counts

267 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
✓	98.4%	(fma.f64 x x (.f64 (.f64 z y) #s(literal -4 binary64)))
✓	55.6%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 z y) #s(literal -4 binary64)))
▶	55.6%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))

Compiler

Compiled 46 to 38 computations (17.4% saved)

simplify15.0ms (0.3%)

Memory

13.6MiB live, 13.6MiB 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

localize39.0ms (0.8%)

Memory

-15.6MiB live, 22.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(.f64 (.f64 #s(literal -4 binary64) z) y)
accuracy	0.0	(*.f64 #s(literal -4 binary64) z)
accuracy	28.40432727134245	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))

Samples

33.0ms

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: 8.0ms (84.9% of total)

ival-sub: 1.0ms (10.6% 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

4.3MiB live, 4.3MiB 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	@	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))
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	@	0	((- (* x x) (* (* y 4) z)) (* (* -4 z) y) (* -4 z))

simplify119.0ms (2.5%)

Memory

-0.8MiB live, 117.1MiB 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))

rewrite268.0ms (5.6%)

Memory

-1.7MiB live, 185.7MiB 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)))

eval4.0ms (0.1%)

Memory: 8.2MiB live, 8.2MiB allocated
Compiler: Compiled 899 to 152 computations (83.1% saved)

prune3.0ms (0.1%)

Memory

6.8MiB live, 6.8MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	45	1	46
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	46	4	50

Accuracy

100.0%

Counts

50 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
✓	98.4%	(fma.f64 x x (.f64 (.f64 z y) #s(literal -4 binary64)))
✓	55.6%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))
▶	51.0%	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Compiler

Compiled 44 to 36 computations (18.2% saved)

simplify46.0ms (1%)

Memory

-14.7MiB live, 23.2MiB 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

localize17.0ms (0.4%)

Memory

25.4MiB live, 25.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 x x)
accuracy	31.34081252239337	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Samples

12.0ms

256×

valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

Precisions

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

ival-mult: 5.0ms (79.3% of total)

ival-sub: 1.0ms (15.9% 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

6.2MiB live, 6.2MiB 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
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))
0.0ms	y	@	-inf	((- (* x x) (* (* y 4) z)) (* x x))

simplify158.0ms (3.3%)

Memory

-32.3MiB live, 134.5MiB 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))

rewrite190.0ms (4%)

Memory

4.7MiB live, 276.3MiB 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: 2.7MiB live, 2.6MiB allocated
Compiler: Compiled 151 to 35 computations (76.8% saved)

prune3.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	10	0	10
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	10	4	14

Accuracy

100.0%

Counts

14 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.8%	(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
✓	98.4%	(fma.f64 x x (.f64 (.f64 z y) #s(literal -4 binary64)))
✓	55.6%	#s(approx (- (* x x) (* (* y 4) z)) (.f64 (.f64 #s(literal -4 binary64) z) y))
✓	51.0%	#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

Compiler

Compiled 112 to 59 computations (47.3% saved)

regimes19.0ms (0.4%)

Memory

-4.5MiB live, 33.8MiB allocated

Counts

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

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

Calls

7 calls:

4.0ms	y
2.0ms	(*.f64 y #s(literal 4 binary64))
2.0ms	z
2.0ms	x
2.0ms	(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))

Results

Accuracy	Segments	Branch
98.8%	1	`x`
98.8%	1	`y`
98.8%	1	`z`
98.8%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
98.8%	1	`(*.f64 x x)`
98.8%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
98.8%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 23 to 32 computations (-39.1% saved)

regimes13.0ms (0.3%)

Memory

30.6MiB live, 30.6MiB allocated

Counts

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

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

Calls

7 calls:

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

Results

Accuracy	Segments	Branch
98.4%	1	`x`
98.4%	1	`y`
98.4%	1	`z`
98.4%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
98.4%	1	`(*.f64 x x)`
98.4%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
98.4%	1	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 23 to 32 computations (-39.1% saved)

regimes13.0ms (0.3%)

Memory

-8.7MiB live, 30.2MiB 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:

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

Results

Accuracy	Segments	Branch
84.7%	2	`x`
69.8%	3	`y`
68.4%	3	`z`
77.2%	2	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
84.7%	2	`(*.f64 x x)`
73.5%	3	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
69.8%	3	`(*.f64 y #s(literal 4 binary64))`

Compiler

Compiled 23 to 32 computations (-39.1% saved)

regimes11.0ms (0.2%)

Memory

-27.0MiB live, 18.4MiB 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	y
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
51.0%	1	`z`
51.0%	1	`y`
51.0%	1	`(*.f64 y #s(literal 4 binary64))`
51.0%	1	`(.f64 (.f64 y #s(literal 4 binary64)) z)`
51.0%	1	`(-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 4 binary64)) z))`
51.0%	1	`x`
51.0%	1	`(*.f64 x x)`

Compiler

Compiled 23 to 32 computations (-39.1% saved)

bsearch10.0ms (0.2%)

Memory

12.0MiB live, 12.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1180819860522415600.0	6.581374640116335e+19

Samples

5.0ms

112×

valid

Compiler

Compiled 194 to 175 computations (9.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 1.0ms (44.9% of total)

ival-mult: 1.0ms (44.9% of total)

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

exact: 0.0ms (0% of total)

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

simplify24.0ms (0.5%)

Memory

8.0MiB live, 46.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	63
1	25	63

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (.f64 #s(literal -4 binary64) z) y (.f64 x x))
(fma.f64 x x (.f64 (.f64 z y) #s(literal -4 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 60000000000000000000 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 #s(literal -4 binary64) z) y (.f64 x x))
(fma.f64 (.f64 z #s(literal -4 binary64)) y (.f64 x x))
(fma.f64 x x (.f64 (.f64 z y) #s(literal -4 binary64)))
(fma.f64 x x (.f64 (.f64 y z) #s(literal -4 binary64)))
(if (<=.f64 (.f64 x x) #s(literal 60000000000000000000 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)))
(if (<=.f64 (.f64 x x) #s(literal 60000000000000000000 binary64)) #s(approx (- ( x x) (* (* y 4) z)) (.f64 y (.f64 z #s(literal -4 binary64)))) #s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x)))
#s(approx (- (* x x) (* (* y 4) z)) (*.f64 x x))

soundness899.0ms (18.8%)

Memory

0.3MiB live, 401.4MiB 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
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	16	45
0	23	45
1	80	44
2	540	44
3	6785	44
0	8005	44
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×	done
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 163 to 106 computations (35% saved)

preprocess54.0ms (1.1%)

Memory

16.3MiB live, 94.9MiB allocated

Remove

(sort y z)

(abs x)

Compiler

Compiled 240 to 142 computations (40.8% 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	16	64
0	23	64
1	40	63
2	65	63
3	104	63
4	141	63
5	183	63
6	243	63
7	302	63
8	397	63
9	451	63
10	481	63
0	481	63

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	16	64
0	23	64
1	40	63
2	65	63
3	104	63
4	141	63
5	183	63
6	243	63
7	302	63
8	397	63
9	451	63
10	481	63
0	481	63

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%)

analyze3.0ms (0.1%)

sample732.0ms (15.3%)

explain113.0ms (2.4%)

preprocess45.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify19.0ms (0.4%)

localize19.0ms (0.4%)

series11.0ms (0.2%)

simplify108.0ms (2.2%)

rewrite345.0ms (7.2%)

eval23.0ms (0.5%)

prune5.0ms (0.1%)

simplify15.0ms (0.3%)

localize79.0ms (1.6%)

series933.0ms (19.5%)

simplify113.0ms (2.4%)

rewrite266.0ms (5.5%)

eval30.0ms (0.6%)

prune15.0ms (0.3%)

simplify15.0ms (0.3%)

localize39.0ms (0.8%)

series4.0ms (0.1%)

simplify119.0ms (2.5%)

rewrite268.0ms (5.6%)

eval4.0ms (0.1%)

prune3.0ms (0.1%)

simplify46.0ms (1%)

localize17.0ms (0.4%)

series3.0ms (0.1%)

simplify158.0ms (3.3%)

rewrite190.0ms (4%)

eval1.0ms (0%)

prune3.0ms (0.1%)

regimes19.0ms (0.4%)

regimes13.0ms (0.3%)

regimes13.0ms (0.3%)

regimes11.0ms (0.2%)

bsearch10.0ms (0.2%)

simplify24.0ms (0.5%)

soundness899.0ms (18.8%)

preprocess54.0ms (1.1%)

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	16	64
0	23	64
1	40	63
2	65	63
3	104	63
4	141	63
5	183	63
6	243	63
7	302	63
8	397	63
9	451	63
10	481	63
0	481	63

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