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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample537.0ms (17.2%)

Memory

1.6MiB live, 1 075.4MiB allocated

Samples

326.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 158.0ms

ival-add: 80.0ms (50.6% of total)

ival-mult: 70.0ms (44.3% of total)

ival-true: 5.0ms (3.2% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

explain98.0ms (3.1%)

Memory

-2.4MiB live, 154.5MiB 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

26.0ms

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: 5.0ms (53.8% of total)

ival-mult: 4.0ms (43% of total)

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

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

preprocess28.0ms (0.9%)

Memory

-1.4MiB live, 36.2MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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

2.7MiB live, 2.7MiB 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

19.0MiB live, 19.0MiB 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 (46.2% of total)

ival-mult: 2.0ms (46.2% of total)

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

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

series3.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB 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	x	@	inf	((+ (* x x) y) (* x x) (+ (+ (* x x) y) y))
1.0ms	y	@	-inf	((+ (* x x) y) (* x x) (+ (+ (* x x) y) y))
1.0ms	x	@	0	((+ (* x x) y) (* x x) (+ (+ (* x x) y) y))
0.0ms	x	@	-inf	((+ (* x x) y) (* x x) (+ (+ (* x x) y) y))
0.0ms	y	@	inf	((+ (* x x) y) (* x x) (+ (+ (* x x) y) y))

simplify97.0ms (3.1%)

Memory

-11.1MiB live, 59.1MiB 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))

rewrite179.0ms (5.7%)

Memory

16.0MiB live, 164.7MiB 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))

eval43.0ms (1.4%)

Memory: -1.2MiB live, 49.9MiB allocated
Compiler: Compiled 5 532 to 710 computations (87.2% saved)

prune8.0ms (0.3%)

Memory

-24.9MiB live, 12.7MiB 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 y #s(literal 2 binary64) (*.f64 x x))
▶	100.0%	(+.f64 (fma.f64 x x y) y)
▶	54.9%	#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify4.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
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	12	39
0	17	39
1	23	39
2	23	39
0	23	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 y #s(literal 2 binary64) (*.f64 x x))
y
#s(literal 2 binary64)
(*.f64 x x)
x

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

localize23.0ms (0.7%)

Memory

29.8MiB live, 29.8MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
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	28.88150027361629	#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))

Samples

16.0ms

256×

valid

Compiler

Compiled 81 to 23 computations (71.6% saved)

Precisions

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

ival-mult: 5.0ms (60.1% of total)

ival-add: 3.0ms (36.1% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.3%)

Memory

-29.7MiB live, 7.3MiB allocated

Counts

6 → 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 y #s(literal 2 binary64) (*.f64 x x))
(*.f64 x x)

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
6.0ms	y	@	0	((+ (+ (* x x) y) y) (* 2 y) (+ (* x x) y) (+ (+ (* x x) y) y) (+ (* y 2) (* x x)) (* x x))
1.0ms	y	@	inf	((+ (+ (* x x) y) y) (* 2 y) (+ (* x x) y) (+ (+ (* x x) y) y) (+ (* y 2) (* x x)) (* x x))
1.0ms	y	@	-inf	((+ (+ (* x x) y) y) (* 2 y) (+ (* x x) y) (+ (+ (* x x) y) y) (+ (* y 2) (* x x)) (* x x))
0.0ms	x	@	inf	((+ (+ (* x x) y) y) (* 2 y) (+ (* x x) y) (+ (+ (* x x) y) y) (+ (* y 2) (* x x)) (* x x))
0.0ms	x	@	-inf	((+ (+ (* x x) y) y) (* 2 y) (+ (* x x) y) (+ (+ (* x x) y) y) (+ (* y 2) (* x x)) (* x x))

simplify111.0ms (3.6%)

Memory

-10.4MiB live, 158.4MiB 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)

rewrite277.0ms (8.9%)

Memory

17.7MiB live, 260.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
0	17	32
1	57	32
2	456	32
3	6952	32
0	8074	32

Stop Event

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

Counts

6 → 684

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

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

eval60.0ms (1.9%)

Memory: 11.7MiB live, 86.1MiB allocated
Compiler: Compiled 8 123 to 1 003 computations (87.7% saved)

prune9.0ms (0.3%)

Memory

-13.6MiB live, 24.3MiB allocated

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	445	3	448
Fresh	0	0	0
Picked	1	2	3
Done	0	0	0
Total	446	5	451

Accuracy

100.0%

Counts

451 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
✓	100.0%	(+.f64 (fma.f64 x x y) y)
▶	54.9%	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
▶	11.4%	#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
▶	2.4%	#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal -2 binary64)))

Compiler

Compiled 45 to 32 computations (28.9% saved)

simplify4.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	47
0	16	47
1	23	47
2	25	47
0	25	44

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize26.0ms (0.8%)

Memory

-9.1MiB live, 33.6MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 y y)
accuracy	28.88150027361629	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
accuracy	0	(*.f64 y #s(literal 4 binary64))
accuracy	56.705971048733566	#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
accuracy	0	(*.f64 y #s(literal -2 binary64))
accuracy	62.470454647807955	#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal -2 binary64)))

Samples

20.0ms

256×

valid

Compiler

Compiled 84 to 25 computations (70.2% saved)

Precisions

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

ival-mult: 5.0ms (56.4% of total)

ival-add: 3.0ms (33.8% 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

5.7MiB live, 5.7MiB allocated

Counts

6 → 8

Calls

Call 1

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

Outputs
(* 2 y)
(+ (* 2 y) (pow x 2))
(pow x 2)
(* (pow x 2) (+ 1 (* 2 (/ y (pow x 2)))))
(* -2 y)
(* 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) (* y -2) (+ (+ (* x x) y) y) (* y 4) (+ (+ (* x x) y) y) (+ y y))
1.0ms	y	@	-inf	((+ (+ (* x x) y) y) (* y -2) (+ (+ (* x x) y) y) (* y 4) (+ (+ (* x x) y) y) (+ y y))
1.0ms	y	@	0	((+ (+ (* x x) y) y) (* y -2) (+ (+ (* x x) y) y) (* y 4) (+ (+ (* x x) y) y) (+ y y))
0.0ms	x	@	inf	((+ (+ (* x x) y) y) (* y -2) (+ (+ (* x x) y) y) (* y 4) (+ (+ (* x x) y) y) (+ y y))
0.0ms	x	@	-inf	((+ (+ (* x x) y) y) (* y -2) (+ (+ (* x x) y) y) (* y 4) (+ (+ (* x x) y) y) (+ y y))

simplify88.0ms (2.8%)

Memory

1.9MiB live, 77.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	40
1	58	40
2	133	40
3	419	40
4	1331	40
5	3282	40
6	6227	40
0	8103	36

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 8

Calls

Call 1

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

rewrite28.0ms (0.9%)

Memory

-1.8MiB live, 34.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	42
0	16	42
1	53	42
0	385	39

Stop Event

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

Counts

6 → 18

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal -2 binary64) y))
(*.f64 #s(literal -2 binary64) y)
(*.f64 y #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 #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) y)
(*.f64 y #s(literal 2 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 #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)))
(-.f64 (/.f64 (.f64 y y) #s(literal 0 binary64)) (/.f64 (.f64 y y) #s(literal 0 binary64)))
(+.f64 y y)

eval2.0ms (0.1%)

Memory: 3.9MiB live, 3.9MiB allocated
Compiler: Compiled 299 to 63 computations (78.9% saved)

prune2.0ms (0.1%)

Memory

3.1MiB live, 3.1MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	0	0	0
Picked	2	1	3
Done	0	2	2
Total	23	4	27

Accuracy

100.0%

Counts

27 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
✓	100.0%	(+.f64 (fma.f64 x x y) y)
✓	54.9%	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
▶	47.7%	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Compiler

Compiled 34 to 23 computations (32.4% saved)

simplify3.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB 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) y) (*.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
0	8	15
1	12	15
2	15	15
3	16	15
0	16	14

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

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

localize32.0ms (1%)

Memory

-10.6MiB live, 34.2MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 x x)
accuracy	33.47420139723981	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Samples

28.0ms

256×

valid

Compiler

Compiled 28 to 14 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-add: 15.0ms (87% of total)

ival-mult: 2.0ms (11.6% of total)

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

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

series2.0ms (0.1%)

Memory

2.5MiB live, 2.5MiB allocated

Counts

2 → 6

Calls

Call 1

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

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

Calls

6 calls:

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

simplify122.0ms (3.9%)

Memory

4.7MiB live, 80.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	34
1	53	34
2	130	34
3	431	34
4	1323	34
5	3204	34
6	6121	34
7	7998	34
0	8031	30

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 6

Calls

Call 1

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

rewrite179.0ms (5.7%)

Memory

12.8MiB live, 248.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
0	8	14
1	37	14
2	316	14
3	4989	14
0	8102	13

Stop Event

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

Counts

2 → 10

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
(*.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 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)))

eval1.0ms (0%)

Memory: 7.0MiB live, 7.0MiB allocated
Compiler: Compiled 176 to 38 computations (78.4% saved)

prune3.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	13	0	13
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	13	4	17

Accuracy

100.0%

Counts

17 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
✓	100.0%	(+.f64 (fma.f64 x x y) y)
✓	54.9%	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
✓	47.7%	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Compiler

Compiled 108 to 46 computations (57.4% saved)

regimes14.0ms (0.4%)

Memory

-19.5MiB live, 19.7MiB 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 -2 binary64)))
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
(+.f64 (fma.f64 x x y) y)
(+.f64 (+.f64 (*.f64 x x) y) y)
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))

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

Calls

4 calls:

4.0ms	(*.f64 x x)
3.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
3.0ms	y
3.0ms	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

19.7MiB live, 19.7MiB allocated

Counts

7 → 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 -2 binary64)))
#s(approx (+ (+ (* x x) y) y) (*.f64 y #s(literal 4 binary64)))
(+.f64 (fma.f64 x x y) y)
(+.f64 (+.f64 (*.f64 x x) y) y)

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

Calls

4 calls:

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

regimes122.0ms (3.9%)

Memory

-22.0MiB live, 16.8MiB allocated

Counts

5 → 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 -2 binary64)))
#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:

114.0ms	(*.f64 x x)
2.0ms	y
2.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
2.0ms	x

Results

Accuracy	Segments	Branch
91.6%	2	`x`
62.6%	3	`y`
81.1%	2	`(+.f64 (+.f64 (*.f64 x x) y) y)`
91.6%	2	`(*.f64 x x)`

Compiler

Compiled 12 to 12 computations (0% saved)

regimes6.0ms (0.2%)

Memory

9.4MiB live, 9.4MiB 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:

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

Results

Accuracy	Segments	Branch
54.9%	1	`y`
54.9%	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
54.9%	1	`x`
54.9%	1	`(*.f64 x x)`

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch11.0ms (0.4%)

Memory

8.0MiB live, 8.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.0210712695969456e+35	2.4267821104633674e+50

Samples

5.0ms

160×

valid

Compiler

Compiled 210 to 160 computations (23.8% saved)

Precisions

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

ival-add: 1.0ms (60.8% of total)

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

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

simplify107.0ms (3.4%)

Memory

-2.3MiB live, 36.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	51
1	17	51

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y #s(literal 2 binary64) (*.f64 x x))
(+.f64 (fma.f64 x x y) y)
(if (<=.f64 (.f64 x x) #s(literal 44000000000000000118061298907269926215483392 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 y #s(literal 2 binary64) (*.f64 x x))
(+.f64 (fma.f64 x x y) y)
(if (<=.f64 (.f64 x x) #s(literal 44000000000000000118061298907269926215483392 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))

soundness805.0ms (25.8%)

Memory

-16.6MiB live, 353.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	32
0	17	32
1	57	32
2	456	32
3	6952	32
0	8074	32
0	5	15
0	8	15
1	37	15
2	316	15
3	4987	15
0	8103	13
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	23	40
1	58	40
2	133	40
3	419	40
4	1331	40
5	3282	40
6	6227	40
0	8103	36

Stop Event

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

Compiler

Compiled 122 to 69 computations (43.4% saved)

preprocess40.0ms (1.3%)

Memory: 6.8MiB live, 83.5MiB allocated
Remove: (abs x)
Compiler: Compiled 142 to 62 computations (56.3% 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%)

sample537.0ms (17.2%)

explain98.0ms (3.1%)

preprocess28.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize14.0ms (0.5%)

series3.0ms (0.1%)

simplify97.0ms (3.1%)

rewrite179.0ms (5.7%)

eval43.0ms (1.4%)

prune8.0ms (0.3%)

simplify4.0ms (0.1%)

localize23.0ms (0.7%)

series9.0ms (0.3%)

simplify111.0ms (3.6%)

rewrite277.0ms (8.9%)

eval60.0ms (1.9%)

prune9.0ms (0.3%)

simplify4.0ms (0.1%)

localize26.0ms (0.8%)

series3.0ms (0.1%)

simplify88.0ms (2.8%)

rewrite28.0ms (0.9%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

simplify3.0ms (0.1%)

localize32.0ms (1%)

series2.0ms (0.1%)

simplify122.0ms (3.9%)

rewrite179.0ms (5.7%)

eval1.0ms (0%)

prune3.0ms (0.1%)

regimes14.0ms (0.4%)

regimes12.0ms (0.4%)

regimes122.0ms (3.9%)

regimes6.0ms (0.2%)

bsearch11.0ms (0.4%)

simplify107.0ms (3.4%)

soundness805.0ms (25.8%)

preprocess40.0ms (1.3%)

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