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

0.5MiB live, 0.5MiB 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)

sample528.0ms (21%)

Memory

7.9MiB live, 910.7MiB allocated

Samples

323.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 161.0ms

ival-add: 84.0ms (52.2% of total)

ival-mult: 68.0ms (42.3% of total)

ival-true: 6.0ms (3.7% of total)

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

Bogosity

explain71.0ms (2.8%)

Memory

8.7MiB live, 82.6MiB 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

20.0ms

512×

valid

Compiler

Compiled 45 to 19 computations (57.8% saved)

Precisions

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

ival-add: 4.0ms (44.5% of total)

ival-mult: 4.0ms (44.5% of total)

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

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

preprocess29.0ms (1.1%)

Memory

8.4MiB live, 45.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	37
1	50	36
2	151	35
3	359	35
4	550	35
5	687	35
6	718	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

1.0MiB live, 1.0MiB 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

4.8MiB live, 4.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(+.f64 (+.f64 (*.f64 x x) y) y)
cost-diff	1	(+.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

localize25.0ms (1%)

Memory

-10.4MiB live, 41.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 (+.f64 (*.f64 x x) y) y)
accuracy	0.0	(*.f64 x x)
accuracy	0.01171875	(+.f64 (*.f64 x x) y)

Samples

21.0ms

256×

valid

Compiler

Compiled 19 to 7 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-add: 12.0ms (83.5% of total)

ival-mult: 2.0ms (13.9% of total)

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

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

series3.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

3 → 11

Calls

Call 1

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

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

simplify94.0ms (3.8%)

Memory

-3.3MiB live, 111.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	55
1	80	55
2	193	55
3	657	55
4	1923	55
5	3752	55
6	6914	55
0	8051	47

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 10

Calls

Call 1

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

rewrite259.0ms (10.3%)

Memory

-13.7MiB live, 186.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	37	15
2	316	15
3	5016	15
0	8158	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 (+.f64 (*.f64 x x) y) y)
(*.f64 x x)

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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(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))
(*.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)))

eval44.0ms (1.8%)

Memory: 5.1MiB live, 82.7MiB allocated
Compiler: Compiled 5 532 to 710 computations (87.2% saved)

prune3.0ms (0.1%)

Memory

14.3MiB live, 14.3MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	253	2	255
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	254	2	256

Accuracy

100.0%

Counts

256 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 (fma.f64 x x y) y)
▶	52.0%	#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))

Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify3.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 x x y)
cost-diff	0	(+.f64 (fma.f64 x x y) 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	10	27
0	12	27
1	17	27
2	19	27
0	19	27

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

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

localize19.0ms (0.7%)

Memory

-2.8MiB live, 36.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x y)
accuracy	0.0	(+.f64 (fma.f64 x x y) y)
accuracy	0.0	(*.f64 #s(literal 2 binary64) y)
accuracy	30.739097618234563	#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))

Samples

14.0ms

256×

valid

Compiler

Compiled 28 to 9 computations (67.9% saved)

Precisions

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

ival-mult: 3.0ms (51.2% of total)

ival-add: 2.0ms (34.2% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated

Counts

4 → 11

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
(*.f64 #s(literal 2 binary64) y)
(+.f64 (fma.f64 x x y) y)
(fma.f64 x x 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
1.0ms	y	@	-inf	((+ (+ (* x x) y) y) (* 2 y) (+ (+ (* x x) y) y) (+ (* x x) y))
1.0ms	y	@	inf	((+ (+ (* x x) y) y) (* 2 y) (+ (+ (* x x) y) y) (+ (* x x) y))
0.0ms	x	@	-inf	((+ (+ (* x x) y) y) (* 2 y) (+ (+ (* x x) y) y) (+ (* x x) y))
0.0ms	y	@	0	((+ (+ (* x x) y) y) (* 2 y) (+ (+ (* x x) y) y) (+ (* x x) y))
0.0ms	x	@	inf	((+ (+ (* x x) y) y) (* 2 y) (+ (+ (* x x) y) y) (+ (* x x) y))

simplify99.0ms (3.9%)

Memory

-2.0MiB live, 76.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	55
1	80	55
2	193	55
3	667	55
4	1933	55
5	3753	55
6	6904	55
0	8209	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)

rewrite210.0ms (8.4%)

Memory

-9.9MiB live, 186.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
0	12	23
1	41	23
2	320	23
3	5023	23
0	8085	23

Stop Event

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

Counts

4 → 331

Calls

Call 1

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

Outputs
#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))
(.f64 (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal 3 binary64)) #s(literal 8 binary64))
(*.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 9 binary64)))
(.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 2 binary64)) (.f64 y y))
(.f64 (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal 2 binary64)) #s(literal 4 binary64))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64)))
(*.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 6 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal 3/2 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3 binary64)))
(*.f64 (pow.f64 #s(literal 8 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 9/2 binary64)))
(.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 (.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)))
(.f64 (.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) y)
(.f64 (.f64 (*.f64 #s(literal 2 binary64) y) y) #s(literal 2 binary64))
(*.f64 (pow.f64 y #s(literal 9/2 binary64)) (pow.f64 #s(literal 8 binary64) #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 9 binary64))) (pow.f64 (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(.f64 #s(literal 8 binary64) (pow.f64 (.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)))
(*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 2 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)) #s(literal 3/2 binary64)))
(*.f64 #s(literal 0 binary64) (pow.f64 #s(literal 0 binary64) #s(literal -1 binary64)))
(.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) 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 (pow.f64 y #s(literal 4 binary64)) #s(literal 16 binary64))
(*.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 64 binary64))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 512 binary64))
(.f64 #s(literal 4 binary64) (pow.f64 (.f64 y (*.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))
(.f64 #s(literal 4 binary64) (.f64 y y))
(.f64 (.f64 #s(literal 2 binary64) y) (*.f64 #s(literal 2 binary64) y))
(.f64 (.f64 y y) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 #s(literal 2 binary64) y)) #s(literal 2 binary64)))
(.f64 (.f64 y y) #s(literal 4 binary64))
(.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 3/2 binary64)))
(*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 8 binary64))
(.f64 #s(literal 2 binary64) (.f64 y (*.f64 #s(literal 2 binary64) y)))
(*.f64 #s(literal 2 binary64) y)
(.f64 y (.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) y)))
(*.f64 y #s(literal 2 binary64))
(pow.f64 (/.f64 (fma.f64 y y #s(literal 0 binary64)) (*.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal 9/2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) y) #s(literal -1 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)) #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 (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 (*.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 9 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 #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 (*.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 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) y)) #s(literal 3/2 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 (pow.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 (pow.f64 (fma.f64 x x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 0 binary64)) (-.f64 (pow.f64 (fma.f64 x x y) #s(literal 6 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 (fma.f64 x x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x y) #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) (.f64 y x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) (-.f64 (pow.f64 (fma.f64 x x y) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (fma.f64 x x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) (.f64 y x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (fma.f64 x x y) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (*.f64 (fma.f64 x x y) y) #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (neg.f64 y) 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)))) (fma.f64 y (fma.f64 #s(literal 2 binary64) y (.f64 x x)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 3 binary64))) (-.f64 (pow.f64 (fma.f64 x x y) #s(literal 4 binary64)) (.f64 (pow.f64 (neg.f64 y) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))))) (-.f64 (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)) (.f64 (neg.f64 x) (.f64 y x))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 6 binary64)))) (fma.f64 (.f64 (neg.f64 x) (.f64 y x)) (-.f64 (.f64 (neg.f64 x) (*.f64 y x)) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) (pow.f64 (fma.f64 x x y) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 x x y) #s(literal 2 binary64)))) (fma.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))) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 2 binary64) y)) (pow.f64 (fma.f64 x x (*.f64 #s(literal -2 binary64) y)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 0 binary64)) #s(literal -1 binary64)) (fma.f64 (neg.f64 y) y (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))))
(.f64 (pow.f64 (fma.f64 (neg.f64 x) (.f64 y x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (neg.f64 x) (.f64 y x) (pow.f64 (fma.f64 x x y) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 x x y) #s(literal 3 binary64))))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) y (.f64 x x)))
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(.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 (.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) y))) (.f64 (.f64 y (/.f64 y (-.f64 (.f64 x x) y))) (.f64 y (/.f64 y (-.f64 (.f64 x x) y))))) (+.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)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) y)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) y)) (fma.f64 (.f64 y (/.f64 y (-.f64 (.f64 x x) y))) (.f64 y (/.f64 y (-.f64 (.f64 x x) y))) (.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 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 (.f64 x x) y))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (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)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (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 x x) y)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64))) #s(literal 1 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64))) #s(literal 1 binary64)) (.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))) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) y)) (.f64 (-.f64 (.f64 x x) y) (.f64 y y))) (pow.f64 (-.f64 (.f64 x x) y) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 x x y) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (-.f64 (.f64 x x) y) (fma.f64 y y (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 binary64))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (-.f64 (.f64 x x) y) (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 y y) (pow.f64 x #s(literal 4 binary64))) (-.f64 y (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (.f64 x x)) (-.f64 (.f64 y y) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 x x y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x y) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) (pow.f64 y #s(literal 9 binary64))) (.f64 (fma.f64 (-.f64 y (.f64 x x)) y (pow.f64 x #s(literal 4 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 (neg.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 (*.f64 x x) y)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (fma.f64 (neg.f64 y) y (pow.f64 x #s(literal 4 binary64))) (-.f64 (*.f64 x x) y))
(/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 y (*.f64 x x)) y (pow.f64 x #s(literal 4 binary64))))
(neg.f64 (neg.f64 (fma.f64 x x y)))
(fma.f64 (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)) (pow.f64 (exp.f64 (log.f64 x)) #s(literal 1 binary64)) y)
(fma.f64 (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) y)
(fma.f64 (/.f64 (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))) (neg.f64 (.f64 y (/.f64 y (-.f64 (.f64 x x) y)))))
(fma.f64 (/.f64 (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) (neg.f64 (.f64 y (/.f64 y (-.f64 (.f64 x x) y)))))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)) y)
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (-.f64 (.f64 x x) y)) (neg.f64 (.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 (.f64 x x) y) #s(literal -1 binary64)) (neg.f64 (.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (-.f64 (.f64 x x) y)) (neg.f64 (.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (.f64 x x) y)) (neg.f64 (.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))
(fma.f64 x x y)
(-.f64 (/.f64 (.f64 y y) (-.f64 y (.f64 x x))) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 y (*.f64 x x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) y)) (.f64 y (/.f64 y (-.f64 (*.f64 x x) y))))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 x x y))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 x x y)) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) y)) (neg.f64 (.f64 y (/.f64 y (-.f64 (*.f64 x x) y)))))
(+.f64 y (*.f64 x x))
(+.f64 (*.f64 x x) y)

eval34.0ms (1.3%)

Memory: 34.3MiB live, 70.7MiB allocated
Compiler: Compiled 6 872 to 869 computations (87.4% saved)

prune12.0ms (0.5%)

Memory

-30.0MiB live, 16.1MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	332	2	334
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	333	3	336

Accuracy

100.0%

Counts

336 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (fma.f64 x x y) y)
▶	52.0%	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
▶	50.5%	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify3.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 y y)
cost-diff	0	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
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	9	30
0	11	30
1	16	30
2	18	30
0	18	28

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

localize19.0ms (0.7%)

Memory

-12.4MiB live, 25.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 y y)
accuracy	30.739097618234563	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
accuracy	0.0	(*.f64 x x)
accuracy	31.65161269776639	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Samples

14.0ms

256×

valid

Compiler

Compiled 24 to 8 computations (66.7% saved)

Precisions

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

ival-add: 5.0ms (66.5% of total)

ival-mult: 2.0ms (26.6% of total)

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

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

series2.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

4 → 6

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
(*.f64 x x)
#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)))))
(* 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) (+ (+ (* x x) y) y) (+ y y))
0.0ms	y	@	inf	((+ (+ (* x x) y) y) (* x x) (+ (+ (* x x) y) y) (+ y y))
0.0ms	x	@	-inf	((+ (+ (* x x) y) y) (* x x) (+ (+ (* x x) y) y) (+ y y))
0.0ms	y	@	-inf	((+ (+ (* x x) y) y) (* x x) (+ (+ (* x x) y) y) (+ y y))
0.0ms	x	@	0	((+ (+ (* x x) y) y) (* x x) (+ (+ (* x x) y) y) (+ y y))

simplify101.0ms (4%)

Memory

14.9MiB live, 134.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	34
1	53	34
2	130	34
3	435	34
4	1327	34
5	3269	34
6	6195	34
0	8083	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))

rewrite40.0ms (1.6%)

Memory

-8.9MiB live, 29.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	28
0	11	28
1	46	28
0	379	26

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

4 → 17

Calls

Call 1

Inputs
#s(approx (+ (+ (* x x) y) y) (*.f64 x x))
(*.f64 x x)
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
(+.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 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: 3.1MiB live, 3.1MiB allocated
Compiler: Compiled 268 to 56 computations (79.1% saved)

prune2.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	19	0	19
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	19	3	22

Accuracy

100.0%

Counts

22 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(+.f64 (fma.f64 x x y) y)
✓	52.0%	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
✓	50.5%	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Compiler

Compiled 74 to 34 computations (54.1% saved)

regimes9.0ms (0.3%)

Memory

17.3MiB live, 17.3MiB 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))
(+.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:

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

regimes16.0ms (0.6%)

Memory

-22.0MiB live, 15.6MiB allocated

Counts

3 → 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))

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

Calls

4 calls:

11.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
2.0ms	y
2.0ms	x
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
90.0%	2	`x`
70.2%	5	`y`
81.3%	2	`(+.f64 (+.f64 (*.f64 x x) y) y)`
90.0%	2	`(*.f64 x x)`

Compiler

Compiled 12 to 12 computations (0% saved)

regimes5.0ms (0.2%)

Memory

13.7MiB live, 13.7MiB 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:

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

Results

Accuracy	Segments	Branch
52.0%	1	`y`
52.0%	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
52.0%	1	`x`
52.0%	1	`(*.f64 x x)`

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch7.0ms (0.3%)

Memory

12.6MiB live, 12.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	1.8745101421416404e-19	2.098121663774302e-18

Samples

3.0ms

96×

valid

Compiler

Compiled 130 to 100 computations (23.1% saved)

Precisions

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

ival-add: 1.0ms (95% of total)

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

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

simplify13.0ms (0.5%)

Memory

-22.1MiB live, 16.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	18	45
2	21	45
3	22	45

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 x x) #s(literal 8826904659509207/5192296858534827628530496329220096 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

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

(if (<=.f64 (*.f64 x x) #s(literal 8826904659509207/5192296858534827628530496329220096 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))

soundness812.0ms (32.3%)

Memory

-9.5MiB live, 341.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
0	12	23
1	41	23
2	320	23
3	5023	23
0	8085	23
0	5	15
0	8	15
1	37	15
2	316	15
3	5016	15
0	8158	13
0	27	55
1	80	55
2	193	55
3	667	55
4	1933	55
5	3753	55
6	6904	55
0	8209	47
0	27	55
1	80	55
2	193	55
3	657	55
4	1923	55
5	3752	55
6	6914	55
0	8051	47

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 92 to 52 computations (43.5% saved)

preprocess44.0ms (1.7%)

Memory: -28.9MiB live, 87.3MiB allocated
Remove: (abs x)
Compiler: Compiled 130 to 56 computations (56.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	37
1	50	36
2	151	35
3	359	35
4	550	35
5	687	35
6	718	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	359	35
4	550	35
5	687	35
6	718	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%)

sample528.0ms (21%)

explain71.0ms (2.8%)

preprocess29.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize25.0ms (1%)

series3.0ms (0.1%)

simplify94.0ms (3.8%)

rewrite259.0ms (10.3%)

eval44.0ms (1.8%)

prune3.0ms (0.1%)

simplify3.0ms (0.1%)

localize19.0ms (0.7%)

series2.0ms (0.1%)

simplify99.0ms (3.9%)

rewrite210.0ms (8.4%)

eval34.0ms (1.3%)

prune12.0ms (0.5%)

simplify3.0ms (0.1%)

localize19.0ms (0.7%)

series2.0ms (0.1%)

simplify101.0ms (4%)

rewrite40.0ms (1.6%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

regimes9.0ms (0.3%)

regimes16.0ms (0.6%)

regimes5.0ms (0.2%)

bsearch7.0ms (0.3%)

simplify13.0ms (0.5%)

soundness812.0ms (32.3%)

preprocess44.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	37
1	50	36
2	151	35
3	359	35
4	550	35
5	687	35
6	718	35
0	5	7
0	8	7
1	12	7
2	15	7
3	16	7
0	16	6