Metrics for Data.Random.Distribution.Normal:normalTail from random-fu-0.2.6.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample556.0ms (20.3%)

Memory

16.7MiB live, 892.2MiB allocated

Samples

337.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 170.0ms

ival-add: 86.0ms (50.7% of total)

ival-mult: 75.0ms (44.2% of total)

ival-true: 5.0ms (2.9% of total)

ival-assert: 3.0ms (1.8% of total)

Bogosity

explain82.0ms (3%)

Memory

-11.4MiB live, 147.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 (*.f64 x x) y)`
-	-	`(+.f64 (+.f64 (*.f64 x x) y) y)`
-	-	`y`
-	-	`(*.f64 x x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

21.0ms

512×

valid

Compiler

Compiled 79 to 29 computations (63.3% saved)

Precisions

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

ival-add: 4.0ms (44.9% of total)

ival-mult: 4.0ms (44.9% of total)

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

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

preprocess26.0ms (0.9%)

Memory

0.7MiB live, 39.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	37
1	50	36
2	151	35
3	358	35
4	529	35
5	663	35
6	687	35
0	5	7
0	8	7
1	12	7
2	15	7
3	16	7
0	16	6

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x x) y) y)

Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))

Symmetry

(abs x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (+.f64 (*.f64 x x) y) y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	-128	(+.f64 (+.f64 (*.f64 x x) y) y)
cost-diff	0	(*.f64 x x)
cost-diff	128	(+.f64 (*.f64 x x) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	17
0	8	17
1	12	17
2	15	17
3	16	17
0	16	15

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(+.f64 (*.f64 x x) y)
(*.f64 x x)
x
y

Outputs
(+.f64 (+.f64 (*.f64 x x) y) y)
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(+.f64 (*.f64 x x) y)
(fma.f64 x x y)
(*.f64 x x)
x
y

localize14.0ms (0.5%)

Memory

26.3MiB live, 26.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (*.f64 x x) y)
accuracy	0.0078125	(+.f64 (+.f64 (*.f64 x x) y) y)

Samples

10.0ms

256×

valid

Compiler

Compiled 36 to 12 computations (66.7% saved)

Precisions

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

ival-add: 2.0ms (48.6% of total)

ival-mult: 2.0ms (48.6% of total)

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

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

series5.0ms (0.2%)

Memory

-32.4MiB live, 6.5MiB allocated

Counts

3 → 11

Calls

Call 1

Inputs
(+.f64 (*.f64 x x) y)
(*.f64 x x)
(+.f64 (+.f64 (*.f64 x x) y) y)

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

Calls

6 calls:

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

simplify91.0ms (3.3%)

Memory

2.9MiB live, 119.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	55
1	80	55
2	193	55
3	658	55
4	1926	55
5	3628	55
6	6733	55
0	8184	47

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 10

Calls

Call 1

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

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

rewrite315.0ms (11.5%)

Memory

-151.6MiB live, 271.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	37	15
2	316	15
3	4987	15
0	8103	13

Stop Event

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

Counts

3 → 251

Calls

Call 1

Inputs
(+.f64 (*.f64 x x) y)
(*.f64 x x)
(+.f64 (+.f64 (*.f64 x x) y) y)

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

eval29.0ms (1.1%)

Memory: -25.7MiB live, 56.6MiB allocated
Compiler: Compiled 5 532 to 710 computations (87.2% saved)

prune4.0ms (0.1%)

Memory

14.8MiB live, 14.8MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	252	3	255
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	253	3	256

Accuracy

100.0%

Counts

256 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
▶	100.0%	(+.f64 (fma.f64 x x y) y)
▶	51.2%	#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify5.0ms (0.2%)

Memory

7.7MiB live, 7.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 2 binary64) y)
cost-diff	0	(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
cost-diff	-128	(+.f64 (fma.f64 x x y) y)
cost-diff	0	(fma.f64 x x y)
cost-diff	0	(*.f64 #s(literal 2 binary64) y)
cost-diff	0	#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	39
0	14	39
1	20	39
2	20	39
0	20	39

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(+.f64 (fma.f64 x x y) y)
(fma.f64 x x y)
x
y
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
x
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y

Outputs
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y
(+.f64 (fma.f64 x x y) y)
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(fma.f64 x x y)
x
y
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
x
(*.f64 #s(literal 2 binary64) y)
#s(literal 2 binary64)
y

localize22.0ms (0.8%)

Memory

4.1MiB live, 43.4MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	0	(fma.f64 x x y)
accuracy	0.0078125	(+.f64 (fma.f64 x x y) y)
accuracy	0	(*.f64 #s(literal 2 binary64) y)
accuracy	31.22043235118036	#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))

Samples

16.0ms

256×

valid

Compiler

Compiled 81 to 21 computations (74.1% saved)

Precisions

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

ival-mult: 4.0ms (52.6% of total)

ival-add: 3.0ms (39.4% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.4%)

Memory

-35.5MiB live, 6.3MiB allocated

Counts

5 → 11

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(fma.f64 x x y)
(+.f64 (fma.f64 x x y) y)
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))

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

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	y	@	0	((+ (+ (* x x) y) y) (* 2 y) (+ (* x x) y) (+ (+ (* x x) y) y) (+ (* x x) (* 2 y)))
1.0ms	y	@	inf	((+ (+ (* x x) y) y) (* 2 y) (+ (* x x) y) (+ (+ (* x x) y) y) (+ (* x x) (* 2 y)))
1.0ms	y	@	-inf	((+ (+ (* x x) y) y) (* 2 y) (+ (* x x) y) (+ (+ (* x x) y) y) (+ (* x x) (* 2 y)))
0.0ms	x	@	inf	((+ (+ (* x x) y) y) (* 2 y) (+ (* x x) y) (+ (+ (* x x) y) y) (+ (* x x) (* 2 y)))
0.0ms	x	@	-inf	((+ (+ (* x x) y) y) (* 2 y) (+ (* x x) y) (+ (+ (* x x) y) y) (+ (* x x) (* 2 y)))

simplify109.0ms (4%)

Memory

4.6MiB live, 118.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	55
1	80	55
2	193	55
3	658	55
4	1932	55
5	3640	55
6	6745	55
0	8122	47

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 10

Calls

Call 1

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

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

rewrite266.0ms (9.7%)

Memory

29.1MiB live, 183.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
0	14	29
1	54	29
2	455	29
3	7041	29
0	8200	29

Stop Event

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

Counts

5 → 630

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(fma.f64 x x y)
(+.f64 (fma.f64 x x y) y)
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))

Outputs
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal -2 binary64) y))
(.f64 (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal 8 binary64) (*.f64 y y)) y)
(.f64 (.f64 #s(literal 8 binary64) y) (*.f64 y y))
(.f64 #s(literal -4 binary64) (.f64 y y))
(*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)))
(.f64 (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 3/4 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3/4 binary64)))
(*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))
(*.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 9 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)))
(.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) y)
(.f64 (pow.f64 y #s(literal 3/2 binary64)) (.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 8 binary64)))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (+.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))))
(*.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(.f64 (neg.f64 y) (.f64 #s(literal -2 binary64) y))
(*.f64 (neg.f64 y) #s(literal 2 binary64))
(.f64 (.f64 (neg.f64 y) y) #s(literal 4 binary64))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64))
(*.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 512 binary64))
(.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) y))
(.f64 #s(literal 4 binary64) (.f64 (neg.f64 y) y))
(.f64 #s(literal 4 binary64) (.f64 y y))
(.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal 4 binary64) y)
(*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))
(.f64 #s(literal 8 binary64) (.f64 #s(literal -2 binary64) y))
(.f64 (.f64 y y) (*.f64 y #s(literal 8 binary64)))
(.f64 (.f64 y y) #s(literal -4 binary64))
(.f64 (.f64 y y) #s(literal 4 binary64))
(.f64 (.f64 y y) (*.f64 #s(literal -2 binary64) y))
(.f64 (.f64 y y) #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64))
(.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) y))
(.f64 (.f64 #s(literal -2 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))))
(.f64 (.f64 #s(literal -2 binary64) y) #s(literal -2 binary64))
(.f64 (.f64 #s(literal -2 binary64) y) (neg.f64 y))
(.f64 (.f64 #s(literal -2 binary64) y) #s(literal 4 binary64))
(.f64 (.f64 #s(literal -2 binary64) y) #s(literal 8 binary64))
(.f64 (.f64 #s(literal -2 binary64) y) (*.f64 y y))
(.f64 (.f64 #s(literal -2 binary64) y) (pow.f64 y #s(literal 3 binary64)))
(.f64 (.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -2 binary64) y))
(.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))
(.f64 (.f64 #s(literal -2 binary64) y) y)
(*.f64 #s(literal 2 binary64) (neg.f64 y))
(.f64 #s(literal 2 binary64) (.f64 y y))
(*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))
(.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(.f64 y (.f64 (*.f64 y y) #s(literal 8 binary64)))
(*.f64 y #s(literal -2 binary64))
(*.f64 y #s(literal 4 binary64))
(.f64 y (.f64 #s(literal -2 binary64) y))
(*.f64 y #s(literal 2 binary64))
(pow.f64 (exp.f64 (log.f64 (*.f64 #s(literal -2 binary64) y))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 9 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3/2 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 4 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 6 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 2 binary64))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) y)) (*.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (.f64 #s(literal 0 binary64) (.f64 #s(literal -2 binary64) y)) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 0 binary64) y) #s(literal 0 binary64))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 y #s(literal 9 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 0 binary64)))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) y)))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -2 binary64) y))
(/.f64 (*.f64 #s(literal -2 binary64) y) (neg.f64 (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (.f64 #s(literal -2 binary64) y) (.f64 (fma.f64 y y #s(literal 0 binary64)) (fma.f64 y y #s(literal 0 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) y) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal 3 binary64)))
(/.f64 (*.f64 #s(literal -2 binary64) y) (fma.f64 y y #s(literal 0 binary64)))
(neg.f64 (*.f64 #s(literal -2 binary64) y))
(fma.f64 (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 3/2 binary64)) (.f64 #s(literal -2 binary64) y))
(fma.f64 (.f64 #s(literal 8 binary64) (.f64 y y)) y (*.f64 #s(literal -2 binary64) y))
(fma.f64 (.f64 #s(literal 8 binary64) y) (.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal -4 binary64) (.f64 y y) (.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) (*.f64 y y))
(fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 3/4 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) y) #s(literal 3/4 binary64)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 9 binary64)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal -1 binary64) y (neg.f64 y))
(fma.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) #s(literal 0 binary64)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal -2 binary64) (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal -2 binary64) y (*.f64 #s(literal -2 binary64) y))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 8 binary64)) (.f64 #s(literal -2 binary64) y))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (+.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64))) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(fma.f64 (neg.f64 y) (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -2 binary64) y))
(fma.f64 (neg.f64 y) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (.f64 (neg.f64 y) y) #s(literal 4 binary64) (.f64 #s(literal -2 binary64) y))
(fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 512 binary64) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (fma.f64 y y #s(literal 0 binary64)) (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 4 binary64) (.f64 (neg.f64 y) y) (.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 4 binary64) (.f64 y y) (.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 4 binary64) (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 4 binary64) y (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 #s(literal 8 binary64) (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -2 binary64) y))
(fma.f64 (.f64 y y) (.f64 y #s(literal 8 binary64)) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (.f64 y y) #s(literal -4 binary64) (.f64 #s(literal -2 binary64) y))
(fma.f64 (.f64 y y) #s(literal 4 binary64) (.f64 #s(literal -2 binary64) y))
(fma.f64 (.f64 y y) (.f64 #s(literal -2 binary64) y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (.f64 y y) #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y))
(fma.f64 (*.f64 y y) y (pow.f64 y #s(literal 3 binary64)))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -2 binary64) y))
(fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (.f64 #s(literal -2 binary64) y))
(fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal -2 binary64) (.f64 #s(literal -2 binary64) y))
(fma.f64 (.f64 #s(literal -2 binary64) y) (neg.f64 y) (.f64 #s(literal -2 binary64) y))
(fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 4 binary64) (.f64 #s(literal -2 binary64) y))
(fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 8 binary64) (.f64 #s(literal -2 binary64) y))
(fma.f64 (.f64 #s(literal -2 binary64) y) (.f64 y y) (*.f64 #s(literal -2 binary64) y))
(fma.f64 (.f64 #s(literal -2 binary64) y) (pow.f64 y #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) y))
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(fma.f64 (.f64 #s(literal -2 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) (.f64 x x))
(fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal -2 binary64) (.f64 x x))
(fma.f64 (.f64 #s(literal -2 binary64) y) (neg.f64 y) (.f64 x x))
(fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 4 binary64) (.f64 x x))
(fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 8 binary64) (.f64 x x))
(fma.f64 (.f64 #s(literal -2 binary64) y) (.f64 y y) (*.f64 x x))
(fma.f64 (.f64 #s(literal -2 binary64) y) (pow.f64 y #s(literal 3 binary64)) (.f64 x x))
(fma.f64 (.f64 #s(literal -2 binary64) y) (.f64 #s(literal -2 binary64) y) (*.f64 x x))
(fma.f64 (.f64 #s(literal -2 binary64) y) #s(literal 2 binary64) (.f64 x x))
(fma.f64 (.f64 #s(literal -2 binary64) y) y (.f64 x x))
(fma.f64 #s(literal 2 binary64) (neg.f64 y) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (.f64 y y) (.f64 x x))
(fma.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)) (*.f64 x x))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) y) (.f64 x x))
(fma.f64 #s(literal 2 binary64) y (*.f64 x x))
(fma.f64 y (.f64 (.f64 y y) #s(literal 8 binary64)) (*.f64 x x))
(fma.f64 y #s(literal -2 binary64) (*.f64 x x))
(fma.f64 y #s(literal 4 binary64) (*.f64 x x))
(fma.f64 y (.f64 #s(literal -2 binary64) y) (.f64 x x))
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (fma.f64 #s(literal -2 binary64) y (.f64 x x))) (neg.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (*.f64 x x)))))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -2 binary64) y (.f64 x x))) (neg.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (*.f64 x x)))))
(fma.f64 x x (*.f64 #s(literal -2 binary64) y))
(-.f64 (+.f64 y (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) y))) (.f64 y (/.f64 y (-.f64 (*.f64 x x) y))))
(-.f64 (/.f64 (.f64 y y) (.f64 (neg.f64 x) x)) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (*.f64 (neg.f64 x) x)))
(-.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (-.f64 (.f64 #s(literal -2 binary64) y) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 #s(literal -2 binary64) y) (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -2 binary64) y (fma.f64 (.f64 (.f64 y x) #s(literal 2 binary64)) x (pow.f64 x #s(literal 4 binary64))))) (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (fma.f64 (.f64 (*.f64 y x) #s(literal 2 binary64)) x (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) y (.f64 x x))) (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) y)) (-.f64 (.f64 y (/.f64 y (-.f64 (*.f64 x x) y))) y))
(-.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64)))))
(-.f64 (-.f64 (*.f64 x x) y) y)
(-.f64 (.f64 x x) (.f64 #s(literal -2 binary64) y))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) y (.f64 x x))) (neg.f64 (/.f64 (.f64 #s(literal -2 binary64) y) (fma.f64 #s(literal -2 binary64) y (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (fma.f64 x x #s(literal 0 binary64))) (neg.f64 (*.f64 y (/.f64 y (fma.f64 x x #s(literal 0 binary64))))))
(+.f64 (fma.f64 x x y) y)
(+.f64 (.f64 #s(literal -2 binary64) y) (.f64 x x))
(+.f64 y (fma.f64 x x y))
(+.f64 (.f64 x x) (.f64 #s(literal -2 binary64) y))

eval125.0ms (4.6%)

Memory: -19.1MiB live, 99.2MiB allocated
Compiler: Compiled 9 718 to 1 162 computations (88% saved)

prune9.0ms (0.3%)

Memory

26.8MiB live, 26.8MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	575	4	579
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	578	4	582

Accuracy

100.0%

Counts

582 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (+.f64 y y))
▶	51.2%	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
▶	11.0%	#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
▶	50.7%	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Compiler

Compiled 39 to 26 computations (33.3% saved)

simplify4.0ms (0.2%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	57
0	17	54
1	23	54
2	24	54
0	24	54

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
(*.f64 x x)
x
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 4 binary64) y))
(*.f64 y #s(literal 4 binary64))
(*.f64 #s(literal 4 binary64) y)
y
#s(literal 4 binary64)
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
y
(fma.f64 x x (+.f64 y y))
(+.f64 (fma.f64 x x y) y)
x
(+.f64 y y)
(*.f64 #s(literal 2 binary64) y)
y

localize52.0ms (1.9%)

Memory

-41.5MiB live, 47.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x (+.f64 y y))
accuracy	0	(+.f64 y y)
accuracy	0	(+.f64 y y)
accuracy	31.22043235118036	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
accuracy	0	(*.f64 y #s(literal 4 binary64))
accuracy	56.93447595440083	#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
accuracy	0	(*.f64 x x)
accuracy	31.561529043208715	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Samples

44.0ms

256×

valid

Compiler

Compiled 105 to 24 computations (77.1% saved)

Precisions

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

ival-add: 4.0ms (50.8% of total)

ival-mult: 3.0ms (38.1% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

7.6MiB live, 7.6MiB allocated

Counts

7 → 7

Calls

Call 1

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

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

Calls

6 calls:

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

simplify142.0ms (5.2%)

Memory

-5.5MiB live, 67.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	37
1	56	37
2	133	37
3	430	37
4	1335	37
5	3221	37
6	6162	37
0	8044	33

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 7

Calls

Call 1

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

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

rewrite50.0ms (1.8%)

Memory

32.9MiB live, 67.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	48
0	17	45
1	63	45
0	556	45

Stop Event

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

Counts

7 → 80

Calls

Call 1

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

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

eval25.0ms (0.9%)

Memory: -17.0MiB live, 28.7MiB allocated
Compiler: Compiled 1 665 to 247 computations (85.2% saved)

prune4.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	114	4	118

Accuracy

100.0%

Counts

118 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (+.f64 y y))
✓	51.2%	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
✓	11.0%	#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
✓	50.7%	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Compiler

Compiled 108 to 47 computations (56.5% saved)

regimes16.0ms (0.6%)

Memory

-8.7MiB live, 27.7MiB allocated

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
(+.f64 (fma.f64 x x y) y)
(fma.f64 x x (+.f64 y y))
(+.f64 (+.f64 (*.f64 x x) y) y)
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))

Outputs
(fma.f64 x x (+.f64 y y))

Calls

4 calls:

6.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
3.0ms	x
3.0ms	y
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 12 to 12 computations (0% saved)

regimes10.0ms (0.4%)

Memory

22.8MiB live, 22.8MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
(+.f64 (fma.f64 x x y) y)

Outputs
(+.f64 (fma.f64 x x y) y)

Calls

4 calls:

2.0ms	y
2.0ms	x
2.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
2.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 12 to 12 computations (0% saved)

regimes12.0ms (0.4%)

Memory

-8.9MiB live, 28.7MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))

Outputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Calls

4 calls:

5.0ms	(*.f64 x x)
2.0ms	y
2.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
2.0ms	x

Results

Accuracy	Segments	Branch
86.0%	2	`x`
69.4%	3	`y`
80.9%	4	`(+.f64 (+.f64 (*.f64 x x) y) y)`
86.0%	2	`(*.f64 x x)`

Compiler

Compiled 12 to 12 computations (0% saved)

regimes8.0ms (0.3%)

Memory

-22.2MiB live, 16.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))

Outputs
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))

Calls

4 calls:

3.0ms	y
2.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
1.0ms	x
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
51.2%	1	`y`
51.2%	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
51.2%	1	`x`
51.2%	1	`(*.f64 x x)`

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch9.0ms (0.3%)

Memory

18.1MiB live, 18.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	1.6956952546967036e-118	8.97808908066366e-115

Samples

4.0ms

128×

valid

Compiler

Compiled 170 to 130 computations (23.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-add: 1.0ms (77.9% of total)

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

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

simplify29.0ms (1.1%)

Memory

-26.1MiB live, 58.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	51
1	16	51

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x x (+.f64 y y))
(+.f64 (fma.f64 x x y) y)
(if (<=.f64 (.f64 x x) #s(literal 5101712237182299/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592 binary64)) #s(approx (+ (+ ( x x) y) y) (+.f64 y y)) #s(approx (+ (+ (* x x) y) y) (*.f64 x x)))
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))

Outputs
(fma.f64 x x (+.f64 y y))
(+.f64 (fma.f64 x x y) y)
(if (<=.f64 (.f64 x x) #s(literal 5101712237182299/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592 binary64)) #s(approx (+ (+ ( x x) y) y) (+.f64 y y)) #s(approx (+ (+ (* x x) y) y) (*.f64 x x)))
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))

soundness651.0ms (23.8%)

Memory

3.3MiB live, 406.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	55
1	80	55
2	193	55
3	658	55
4	1926	55
5	3628	55
6	6733	55
0	8184	47
0	27	55
1	80	55
2	193	55
3	658	55
4	1932	55
5	3640	55
6	6745	55
0	8122	47
0	11	29
0	14	29
1	54	29
2	455	29
3	7041	29
0	8200	29
0	5	15
0	8	15
1	37	15
2	316	15
3	4987	15
0	8103	13

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 123 to 68 computations (44.7% saved)

preprocess48.0ms (1.8%)

Memory: 33.2MiB live, 72.3MiB allocated
Remove: (abs x)
Compiler: Compiled 142 to 58 computations (59.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	37
1	50	36
2	151	35
3	358	35
4	529	35
5	663	35
6	687	35
0	5	7
0	8	7
1	12	7
2	15	7
3	16	7
0	16	6

Iter	Nodes	Cost
0	15	37
1	50	36
2	151	35
3	358	35
4	529	35
5	663	35
6	687	35
0	5	7
0	8	7
1	12	7
2	15	7
3	16	7
0	16	6

start0.0ms (0%)

analyze0.0ms (0%)

sample556.0ms (20.3%)

explain82.0ms (3%)

preprocess26.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize14.0ms (0.5%)

series5.0ms (0.2%)

simplify91.0ms (3.3%)

rewrite315.0ms (11.5%)

eval29.0ms (1.1%)

prune4.0ms (0.1%)

simplify5.0ms (0.2%)

localize22.0ms (0.8%)

series10.0ms (0.4%)

simplify109.0ms (4%)

rewrite266.0ms (9.7%)

eval125.0ms (4.6%)

prune9.0ms (0.3%)

simplify4.0ms (0.2%)

localize52.0ms (1.9%)

series3.0ms (0.1%)

simplify142.0ms (5.2%)

rewrite50.0ms (1.8%)

eval25.0ms (0.9%)

prune4.0ms (0.1%)

regimes16.0ms (0.6%)

regimes10.0ms (0.4%)

regimes12.0ms (0.4%)

regimes8.0ms (0.3%)

bsearch9.0ms (0.3%)

simplify29.0ms (1.1%)

soundness651.0ms (23.8%)

preprocess48.0ms (1.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	37
1	50	36
2	151	35
3	358	35
4	529	35
5	663	35
6	687	35
0	5	7
0	8	7
1	12	7
2	15	7
3	16	7
0	16	6