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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample548.0ms (21.9%)

Memory

10.1MiB live, 909.4MiB allocated

Samples

341.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 163.0ms

ival-add: 90.0ms (55.2% of total)

ival-mult: 64.0ms (39.3% of total)

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

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

Bogosity

explain72.0ms (2.9%)

Memory

20.6MiB live, 135.0MiB 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 62 to 24 computations (61.3% saved)

Precisions

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

ival-add: 4.0ms (44.7% of total)

ival-mult: 4.0ms (44.7% of total)

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

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

preprocess23.0ms (0.9%)

Memory

-18.5MiB live, 27.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	47	38
2	121	36
3	198	35
4	298	35
5	308	35
6	309	35
0	5	7
0	8	7
1	16	7
2	38	7
3	82	7
4	108	7
5	115	7
6	125	7
7	135	7
8	148	7
9	150	7
0	150	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)

simplify5.0ms (0.2%)

Memory

5.1MiB live, 5.1MiB 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	16	17
2	38	17
3	82	17
4	108	17
5	115	17
6	125	17
7	135	17
8	148	17
9	150	17
0	150	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

localize22.0ms (0.9%)

Memory

-16.0MiB live, 20.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(+.f64 (+.f64 (*.f64 x x) y) y)
accuracy	0.00390625	(+.f64 (*.f64 x x) y)

Samples

17.0ms

256×

valid

Compiler

Compiled 36 to 12 computations (66.7% saved)

Precisions

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

ival-add: 4.0ms (71.4% of total)

ival-mult: 2.0ms (35.7% of total)

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

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

series3.0ms (0.1%)

Memory

4.4MiB live, 4.4MiB 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))

simplify74.0ms (3%)

Memory

22.2MiB live, 96.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	59
1	82	59
2	225	59
3	1000	59
4	3703	59
5	7989	59
0	8017	52

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)))
(.f64 (neg.f64 y) (-.f64 (.f64 (/.f64 (neg.f64 x) y) x) #s(literal 2 binary64)))

rewrite190.0ms (7.6%)

Memory

-9.5MiB live, 203.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	41	15
2	356	15
3	5834	15
0	8414	13

Stop Event

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

Counts

3 → 189

Calls

Call 1

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

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

eval23.0ms (0.9%)

Memory: -2.5MiB live, 34.8MiB allocated
Compiler: Compiled 4 879 to 588 computations (87.9% saved)

prune5.0ms (0.2%)

Memory

-28.0MiB live, 10.5MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	191	3	194
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	192	3	195

Accuracy

100.0%

Counts

195 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
▶	100.0%	(+.f64 (fma.f64 x x y) y)
▶	49.8%	#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify6.0ms (0.2%)

Memory

6.6MiB live, 6.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 #s(literal 2 binary64) y)
cost-diff	0	(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
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	11	39
0	14	39
1	29	39
2	59	39
3	103	39
4	132	39
5	142	39
6	155	39
7	157	39
0	157	39

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.8%)

Memory

30.2MiB live, 30.2MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x (*.f64 #s(literal 2 binary64) y))
accuracy	0.0	(*.f64 #s(literal 2 binary64) y)
accuracy	0.0	(fma.f64 x x y)
accuracy	0.00390625	(+.f64 (fma.f64 x x y) y)
accuracy	0.0	(*.f64 #s(literal 2 binary64) y)
accuracy	32.10136451629797	#s(approx (+ (+ (* x x) y) y) (*.f64 #s(literal 2 binary64) y))

Samples

15.0ms

256×

valid

Compiler

Compiled 81 to 21 computations (74.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-add: 3.0ms (42.8% of total)

ival-mult: 3.0ms (42.8% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.3%)

Memory

-32.6MiB live, 4.9MiB allocated

Counts

5 → 11

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	((+ (+ (* x x) y) y) (* 2 y) (+ (+ (* x x) y) y) (+ (* x x) y) (+ (* x x) (* 2 y)))
1.0ms	y	@	-inf	((+ (+ (* x x) y) y) (* 2 y) (+ (+ (* x x) y) y) (+ (* x x) y) (+ (* x x) (* 2 y)))
0.0ms	x	@	-inf	((+ (+ (* x x) y) y) (* 2 y) (+ (+ (* x x) y) y) (+ (* x x) y) (+ (* x x) (* 2 y)))
0.0ms	x	@	inf	((+ (+ (* x x) y) y) (* 2 y) (+ (+ (* x x) y) y) (+ (* x x) y) (+ (* x x) (* 2 y)))
0.0ms	y	@	0	((+ (+ (* x x) y) y) (* 2 y) (+ (+ (* x x) y) y) (+ (* x x) y) (+ (* x x) (* 2 y)))

simplify62.0ms (2.5%)

Memory

27.4MiB live, 70.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	59
1	82	59
2	225	59
3	1002	59
4	3715	59
0	8002	52

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

rewrite139.0ms (5.6%)

Memory

8.3MiB live, 240.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
0	14	29
1	63	29
2	501	29
0	8780	29

Stop Event

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

Counts

5 → 789

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

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

eval117.0ms (4.7%)

Memory: -3.8MiB live, 193.3MiB allocated
Compiler: Compiled 13 128 to 1 437 computations (89.1% saved)

prune13.0ms (0.5%)

Memory

-6.4MiB live, 40.9MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	779	3	782
Fresh	0	0	0
Picked	3	0	3
Done	0	0	0
Total	782	3	785

Accuracy

100.0%

Counts

785 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x x (+.f64 y y))
▶	49.8%	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
▶	52.2%	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify6.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(+.f64 y y)
cost-diff	0	(fma.f64 x x (+.f64 y y))
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	10	41
0	13	39
1	22	39
2	52	39
3	95	39
4	121	39
5	131	39
6	141	39
7	154	39
8	156	39
0	156	39

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

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

localize21.0ms (0.9%)

Memory

-8.9MiB live, 29.9MiB allocated

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x (+.f64 y y))
accuracy	0.0	(+.f64 y y)
accuracy	0.0	(+.f64 y y)
accuracy	32.10136451629797	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
accuracy	0.0	(*.f64 x x)
accuracy	30.62331790398594	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Samples

14.0ms

256×

valid

Compiler

Compiled 77 to 19 computations (75.3% saved)

Precisions

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

ival-add: 4.0ms (63% of total)

ival-mult: 2.0ms (31.5% of total)

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

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

series2.0ms (0.1%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

5 → 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)
(fma.f64 x x (+.f64 y y))

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

simplify164.0ms (6.6%)

Memory

-13.9MiB live, 138.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	38
1	57	38
2	164	38
3	733	38
4	4555	38
0	8207	35

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)))
(.f64 (neg.f64 y) (-.f64 (.f64 (/.f64 (neg.f64 x) y) x) #s(literal 2 binary64)))

rewrite47.0ms (1.9%)

Memory

1.0MiB live, 38.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
0	13	32
1	62	32
0	589	32

Stop Event

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

Counts

5 → 88

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

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

eval11.0ms (0.5%)

Memory: 25.9MiB live, 25.9MiB allocated
Compiler: Compiled 1 724 to 262 computations (84.8% saved)

prune6.0ms (0.2%)

Memory

-27.7MiB live, 10.1MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	121	0	121
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	121	3	124

Accuracy

100.0%

Counts

124 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x x (+.f64 y y))
✓	49.8%	#s(approx (+ (+ (* x x) y) y) (+.f64 y y))
✓	52.2%	#s(approx (+ (+ (* x x) y) y) (*.f64 x x))

Compiler

Compiled 86 to 36 computations (58.1% saved)

regimes10.0ms (0.4%)

Memory

24.4MiB live, 24.4MiB 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))
(+.f64 (fma.f64 x x y) y)
(fma.f64 x x (+.f64 y y))
(+.f64 (+.f64 (*.f64 x x) y) y)
(fma.f64 x x (*.f64 #s(literal 2 binary64) y))

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 12 to 12 computations (0% saved)

regimes22.0ms (0.9%)

Memory

-32.8MiB live, 15.2MiB allocated

Counts

4 → 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)

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

Calls

4 calls:

16.0ms	x
2.0ms	y
2.0ms	(+.f64 (+.f64 (*.f64 x x) y) y)
2.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 12 to 12 computations (0% saved)

regimes7.0ms (0.3%)

Memory

9.7MiB live, 9.7MiB 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:

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

Results

Accuracy	Segments	Branch
87.7%	2	`x`
66.9%	3	`y`
80.2%	2	`(+.f64 (+.f64 (*.f64 x x) y) y)`
87.7%	2	`(*.f64 x x)`

Compiler

Compiled 12 to 12 computations (0% saved)

regimes6.0ms (0.2%)

Memory

8.3MiB live, 8.3MiB 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	(+.f64 (+.f64 (*.f64 x x) y) y)
1.0ms	x
1.0ms	y
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
49.8%	1	`y`
49.8%	1	`(+.f64 (+.f64 (*.f64 x x) y) y)`
49.8%	1	`x`
49.8%	1	`(*.f64 x x)`

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch7.0ms (0.3%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
6.0ms	2.1948926481703177e+46	9.087077428544445e+46

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 (95.8% of total)

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

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

simplify53.0ms (2.1%)

Memory

-14.0MiB live, 62.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	51
1	23	51
2	45	51
3	88	51
4	124	51
5	167	51
6	317	51
7	1497	51
8	5866	51

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 x x (+.f64 y y))
(+.f64 (fma.f64 x x y) y)
(if (<=.f64 (.f64 x x) #s(literal 86999999999999996107272695533994408753206657024 binary64)) #s(approx (+ (+ ( x x) y) y) (+.f64 y y)) #s(approx (+ (+ (* x x) y) y) (*.f64 x x)))
#s(approx (+ (+ (* x x) y) y) (+.f64 y y))

Outputs
(fma.f64 x x (+.f64 y y))
(+.f64 (fma.f64 x x y) y)
(if (<=.f64 (.f64 x x) #s(literal 86999999999999996107272695533994408753206657024 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))

soundness741.0ms (29.6%)

Memory

-17.2MiB live, 321.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	15
0	8	15
1	41	15
2	356	15
3	5834	15
0	8414	13
0	27	59
1	82	59
2	225	59
3	1002	59
4	3715	59
0	8002	52
0	27	59
1	82	59
2	225	59
3	1000	59
4	3703	59
5	7989	59
0	8017	52
0	11	29
0	14	29
1	63	29
2	501	29
0	8780	29

Stop Event

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

Compiler

Compiled 123 to 68 computations (44.7% saved)

preprocess66.0ms (2.6%)

Memory: -1.9MiB live, 85.6MiB allocated
Remove: (abs x)
Compiler: Compiled 142 to 58 computations (59.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	41
1	47	38
2	121	36
3	198	35
4	298	35
5	308	35
6	309	35
0	5	7
0	8	7
1	16	7
2	38	7
3	82	7
4	108	7
5	115	7
6	125	7
7	135	7
8	148	7
9	150	7
0	150	6

Iter	Nodes	Cost
0	5	17
0	8	17
1	16	17
2	38	17
3	82	17
4	108	17
5	115	17
6	125	17
7	135	17
8	148	17
9	150	17
0	150	15

Iter	Nodes	Cost
0	10	41
0	13	39
1	22	39
2	52	39
3	95	39
4	121	39
5	131	39
6	141	39
7	154	39
8	156	39
0	156	39

Iter	Nodes	Cost
0	15	41
1	47	38
2	121	36
3	198	35
4	298	35
5	308	35
6	309	35
0	5	7
0	8	7
1	16	7
2	38	7
3	82	7
4	108	7
5	115	7
6	125	7
7	135	7
8	148	7
9	150	7
0	150	6

Iter	Nodes	Cost
0	5	17
0	8	17
1	16	17
2	38	17
3	82	17
4	108	17
5	115	17
6	125	17
7	135	17
8	148	17
9	150	17
0	150	15

Iter	Nodes	Cost
0	10	41
0	13	39
1	22	39
2	52	39
3	95	39
4	121	39
5	131	39
6	141	39
7	154	39
8	156	39
0	156	39

start0.0ms (0%)

analyze0.0ms (0%)

sample548.0ms (21.9%)

explain72.0ms (2.9%)

preprocess23.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify5.0ms (0.2%)

localize22.0ms (0.9%)

series3.0ms (0.1%)

simplify74.0ms (3%)

rewrite190.0ms (7.6%)

eval23.0ms (0.9%)

prune5.0ms (0.2%)

simplify6.0ms (0.2%)

localize21.0ms (0.8%)

series7.0ms (0.3%)

simplify62.0ms (2.5%)

rewrite139.0ms (5.6%)

eval117.0ms (4.7%)

prune13.0ms (0.5%)

simplify6.0ms (0.2%)

localize21.0ms (0.9%)

series2.0ms (0.1%)

simplify164.0ms (6.6%)

rewrite47.0ms (1.9%)

eval11.0ms (0.5%)

prune6.0ms (0.2%)

regimes10.0ms (0.4%)

regimes22.0ms (0.9%)

regimes7.0ms (0.3%)

regimes6.0ms (0.2%)

bsearch7.0ms (0.3%)

simplify53.0ms (2.1%)

soundness741.0ms (29.6%)

preprocess66.0ms (2.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	41
1	47	38
2	121	36
3	198	35
4	298	35
5	308	35
6	309	35
0	5	7
0	8	7
1	16	7
2	38	7
3	82	7
4	108	7
5	115	7
6	125	7
7	135	7
8	148	7
9	150	7
0	150	6

Iter	Nodes	Cost
0	5	17
0	8	17
1	16	17
2	38	17
3	82	17
4	108	17
5	115	17
6	125	17
7	135	17
8	148	17
9	150	17
0	150	15

Iter	Nodes	Cost
0	10	41
0	13	39
1	22	39
2	52	39
3	95	39
4	121	39
5	131	39
6	141	39
7	154	39
8	156	39
0	156	39