Metrics for Diagrams.Solve.Polynomial:quartForm from diagrams-solve-0.1, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 9 computations (0% saved)

sample876.0ms (25.5%)

Memory

-7.1MiB live, 1 301.5MiB allocated

Samples

564.0ms	7 624×	0	valid
21.0ms	150×	3	valid
19.0ms	268×	1	valid
18.0ms	214×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 288.0ms

ival-div: 145.0ms (50.3% of total)

ival-mult: 60.0ms (20.8% of total)

ival-sub: 47.0ms (16.3% of total)

adjust: 18.0ms (6.2% of total)

exact: 8.0ms (2.8% of total)

ival-true: 7.0ms (2.4% of total)

ival-assert: 4.0ms (1.4% of total)

Bogosity

explain158.0ms (4.6%)

Memory

17.5MiB live, 147.5MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 8 binary64)`
-	-	`y`
-	-	`#s(literal 3 binary64)`
-	-	`(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))`
-	-	`(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)`
-	-	`(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))`
-	-	`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

54.0ms	482×	0	valid
1.0ms	10×	3	valid
1.0ms	10×	2	valid
1.0ms	10×	1	valid

Compiler

Compiled 68 to 32 computations (52.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-div: 35.0ms (81.9% of total)

ival-sub: 3.0ms (7% of total)

ival-mult: 3.0ms (7% of total)

adjust: 1.0ms (2.3% of total)

exact: 1.0ms (2.3% of total)

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

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

preprocess62.0ms (1.8%)

Memory

8.0MiB live, 47.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	29
1	44	27
2	91	25
3	184	25
4	276	25
5	301	25
6	307	25
0	7	5
0	11	5
1	18	5
2	29	5
3	49	5
4	85	5
5	138	5
6	176	5
7	200	5
8	204	5
0	204	4

Stop Event

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

Calls

Call 1

Inputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))

Outputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(fma.f64 #s(literal -3/8 binary64) y x)

Compiler

Compiled 7 to 7 computations (0% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))

Compiler

Compiled 7 to 7 computations (0% saved)

simplify29.0ms (0.9%)

Memory

-17.2MiB live, 22.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
cost-diff	128	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
cost-diff	704	(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
0	11	13
1	18	13
2	29	13
3	49	13
4	85	13
5	138	13
6	176	13
7	200	13
8	204	13
0	204	12

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
x
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
#s(literal 3 binary64)
#s(literal 8 binary64)
y

Outputs
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(fma.f64 #s(literal -3/8 binary64) y x)
x
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
(*.f64 y #s(literal 3/8 binary64))
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
#s(literal 3/8 binary64)
#s(literal 3 binary64)
#s(literal 8 binary64)
y

localize44.0ms (1.3%)

Memory

5.6MiB live, 42.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
accuracy	0	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
accuracy	0.06640625	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))

Samples

27.0ms	5×	3	valid
11.0ms	241×	0	valid
1.0ms	5×	2	valid
0.0ms	5×	1	valid

Compiler

Compiled 40 to 16 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

adjust: 27.0ms (84.6% of total)

ival-div: 2.0ms (6.3% of total)

ival-mult: 2.0ms (6.3% of total)

ival-sub: 1.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

5.6MiB live, 5.6MiB allocated

Counts

3 → 9

Calls

Call 1

Inputs
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)

Outputs
(* -3/8 y)
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+ x (* -3/8 y))
(* 3/8 y)
(* y (- (/ x y) 3/8))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	((/ 3 8) (- x (* (/ 3 8) y)) (* (/ 3 8) y))
1.0ms	y	@	inf	((/ 3 8) (- x (* (/ 3 8) y)) (* (/ 3 8) y))
0.0ms	y	@	0	((/ 3 8) (- x (* (/ 3 8) y)) (* (/ 3 8) y))
0.0ms	x	@	inf	((/ 3 8) (- x (* (/ 3 8) y)) (* (/ 3 8) y))
0.0ms	x	@	0	((/ 3 8) (- x (* (/ 3 8) y)) (* (/ 3 8) y))

simplify416.0ms (12.1%)

Memory

-25.6MiB live, 94.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	37
1	73	37
2	199	37
3	594	37
4	1538	37
5	3229	37
6	4609	37
7	5848	37
8	7440	37
0	8056	31

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 8

Calls

Call 1

Inputs
(* -3/8 y)
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+ x (* -3/8 y))
(* 3/8 y)
(* y (- (/ x y) 3/8))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))

Outputs
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(- x (* 3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 #s(literal -3/8 binary64) y x)
(+ x (* -3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* y (- (/ x y) 3/8))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 #s(literal -3/8 binary64) y x)

rewrite443.0ms (12.9%)

Memory

22.3MiB live, 210.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
0	11	9
1	30	9
2	197	9
3	1935	9
0	8726	8

Stop Event

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

Counts

3 → 379

Calls

Call 1

Inputs
(/.f64 #s(literal 3 binary64) #s(literal 8 binary64))
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)

Outputs
#s(literal 3/8 binary64)
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3/8 binary64) y x) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -3/8 binary64) y x) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 81/4096 binary64) (pow.f64 (.f64 (.f64 y #s(literal 3/8 binary64)) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)) (-.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal -729/262144 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 y #s(literal 3/8 binary64)) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 9/64 binary64) (pow.f64 (.f64 y (fma.f64 #s(literal -3/8 binary64) y x)) #s(literal 2 binary64))))) (fma.f64 x x (.f64 (*.f64 #s(literal -3/8 binary64) y) (fma.f64 #s(literal -3/8 binary64) y x))))
(.f64 (/.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 #s(literal 27/512 binary64) (pow.f64 (.f64 y (fma.f64 #s(literal -3/8 binary64) y x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 y #s(literal 3/8 binary64))) (-.f64 (.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 y #s(literal 3/8 binary64))) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal -1 binary64)))
(*.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64))) (fma.f64 #s(literal -3/8 binary64) y x))
(.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64)) (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (.f64 y #s(literal 3/8 binary64)) (-.f64 (.f64 y #s(literal 3/8 binary64)) x) (.f64 x x)))
(.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64)) (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x))))
(.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64)) (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x)))
(.f64 (/.f64 (fma.f64 #s(literal -3/8 binary64) y x) (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 #s(literal -3/8 binary64) y x) (pow.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64))))
(*.f64 #s(literal -1 binary64) (fma.f64 #s(literal -3/8 binary64) y x))
(.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal -1 binary64)) (pow.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3/8 binary64) y x))
(*.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 1 binary64))
(*.f64 (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal -1 binary64)))
(.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)) (/.f64 (fma.f64 #s(literal -3/8 binary64) y x) (fma.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x))))
(.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)) (.f64 (fma.f64 #s(literal -3/8 binary64) y x) (pow.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x))) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (.f64 y #s(literal 3/8 binary64)) (-.f64 (.f64 y #s(literal 3/8 binary64)) x) (.f64 x x)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 1 binary64))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 3 binary64))) (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -9/64 binary64) (fma.f64 #s(literal -3/8 binary64) y x)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))) (.f64 (.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x)))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -3/8 binary64) y x) #s(literal 3 binary64))) (pow.f64 (neg.f64 (.f64 (.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))) (neg.f64 (.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))))))))
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(+.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -3/8 binary64) y x))) (/.f64 (neg.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 4 binary64))) (.f64 (fma.f64 x x (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))) (fma.f64 #s(literal -3/8 binary64) y x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 81/4096 binary64) (pow.f64 (.f64 (.f64 y #s(literal 3/8 binary64)) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -3/8 binary64) y x))) (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)) (.f64 (+.f64 (fma.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 81/4096 binary64) (pow.f64 (.f64 (*.f64 y #s(literal 3/8 binary64)) x) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -3/8 binary64) y x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)))) (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 6 binary64)) (.f64 (fma.f64 #s(literal -27/512 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 (+.f64 (fma.f64 #s(literal -729/262144 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 y #s(literal 3/8 binary64)) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x)))) (/.f64 (pow.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal 9 binary64)) (.f64 (+.f64 (fma.f64 #s(literal -729/262144 binary64) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 y #s(literal 3/8 binary64)) x) #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (-.f64 (.f64 x x) (.f64 (.f64 #s(literal -3/8 binary64) y) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (-.f64 (.f64 x x) (.f64 (*.f64 #s(literal -3/8 binary64) y) x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (-.f64 (.f64 x x) (.f64 (.f64 #s(literal -3/8 binary64) y) x)))) (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (-.f64 (.f64 x x) (.f64 (*.f64 #s(literal -3/8 binary64) y) x)))))
(+.f64 (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 3/8 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 3/8 binary64)) x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (-.f64 (.f64 x x) (.f64 (.f64 y #s(literal 3/8 binary64)) x)))) (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (-.f64 (.f64 x x) (.f64 (*.f64 y #s(literal 3/8 binary64)) x)))))
(+.f64 (-.f64 x #s(literal 0 binary64)) (*.f64 y #s(literal 3/8 binary64)))
(+.f64 (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 y #s(literal 3/8 binary64)) (-.f64 (.f64 y #s(literal 3/8 binary64)) x) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y #s(literal 3/8 binary64)) (-.f64 (.f64 y #s(literal 3/8 binary64)) x) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (.f64 y #s(literal 3/8 binary64)) (-.f64 (.f64 y #s(literal 3/8 binary64)) x) (.f64 x x))) (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (.f64 y #s(literal 3/8 binary64)) (-.f64 (.f64 y #s(literal 3/8 binary64)) x) (*.f64 x x))))
(+.f64 (.f64 (.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))) (*.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))))
(+.f64 (.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))) (neg.f64 (.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x)))))
(+.f64 (.f64 x (/.f64 x (fma.f64 #s(literal -3/8 binary64) y x))) (.f64 (*.f64 #s(literal 9/64 binary64) y) (/.f64 y (fma.f64 #s(literal -3/8 binary64) y x))))
(+.f64 (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (neg.f64 (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x)))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 y #s(literal 3/8 binary64)) (.f64 x x))) (/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -3/8 binary64) y x) (.f64 y #s(literal 3/8 binary64)) (*.f64 x x))))
(+.f64 (neg.f64 x) (*.f64 #s(literal -3/8 binary64) y))
(+.f64 (neg.f64 x) (*.f64 y #s(literal 3/8 binary64)))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) (neg.f64 x))
(+.f64 (*.f64 #s(literal -3/8 binary64) y) x)
(+.f64 (*.f64 y #s(literal 3/8 binary64)) x)
(+.f64 x (*.f64 (neg.f64 (neg.f64 y)) #s(literal 3/8 binary64)))
(+.f64 x (*.f64 (neg.f64 y) #s(literal -3/8 binary64)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) (neg.f64 y)))
(+.f64 x (neg.f64 (*.f64 #s(literal -3/8 binary64) y)))
(+.f64 x (*.f64 #s(literal -3/8 binary64) y))
(+.f64 x (*.f64 y #s(literal 3/8 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal -3/8 binary64) y) (neg.f64 y))) (sqrt.f64 #s(literal 3/8 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal -1 binary64))) (sqrt.f64 (.f64 y #s(literal 3/8 binary64))))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal -3/8 binary64))) (sqrt.f64 y))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal -3/8 binary64) y) y)) (sqrt.f64 #s(literal -3/8 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3/8 binary64))) (sqrt.f64 (neg.f64 y)))
(.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal -3/8 binary64) y))) (sqrt.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) y))))
(.f64 (sqrt.f64 (fabs.f64 y)) (sqrt.f64 (.f64 #s(literal 9/64 binary64) y)))
(.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -3/8 binary64) y))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 #s(literal -9/64 binary64) (*.f64 y y))))
(.f64 (sqrt.f64 #s(literal -3/8 binary64)) (sqrt.f64 (.f64 y (*.f64 #s(literal -3/8 binary64) y))))
(.f64 (sqrt.f64 (.f64 (*.f64 y y) #s(literal 3/8 binary64))) (sqrt.f64 #s(literal 3/8 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 9/64 binary64) y)) (sqrt.f64 (fabs.f64 y)))
(.f64 (sqrt.f64 (.f64 #s(literal 9/64 binary64) y)) (sqrt.f64 y))
(.f64 (sqrt.f64 (.f64 #s(literal -3/8 binary64) y)) (sqrt.f64 (*.f64 #s(literal -3/8 binary64) y)))
(.f64 (sqrt.f64 (.f64 y #s(literal 3/8 binary64))) (sqrt.f64 (*.f64 y #s(literal 3/8 binary64))))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 #s(literal -3/8 binary64) (*.f64 #s(literal -3/8 binary64) y))))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 #s(literal 9/64 binary64) y)))
(.f64 (sqrt.f64 #s(literal 3/8 binary64)) (sqrt.f64 (.f64 (neg.f64 y) (*.f64 #s(literal -3/8 binary64) y))))
(.f64 (sqrt.f64 #s(literal 3/8 binary64)) (sqrt.f64 (.f64 (*.f64 y y) #s(literal 3/8 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 3/8 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 3/8 binary64))))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 3/8 binary64))
(*.f64 (fabs.f64 y) #s(literal 3/8 binary64))
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 3/8 binary64)))
(.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal 3/8 binary64))
(*.f64 #s(literal 3/8 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal 3/8 binary64) (fabs.f64 y))
(*.f64 #s(literal 3/8 binary64) y)
(pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64)) (fabs.f64 (+.f64 #s(literal 0 binary64) (.f64 y #s(literal 3/8 binary64)))))
(/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fabs.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 #s(literal 0 binary64) (.f64 y #s(literal 3/8 binary64)))))))
(sqrt.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) y)))
(fabs.f64 (*.f64 #s(literal -3/8 binary64) y))
(fabs.f64 (*.f64 y #s(literal 3/8 binary64)))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 3/8 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y #s(literal 3/8 binary64))))
(+.f64 (cosh.f64 (log.f64 (.f64 y #s(literal 3/8 binary64)))) (sinh.f64 (log.f64 (.f64 y #s(literal 3/8 binary64)))))

eval102.0ms (3%)

Memory: 0.8MiB live, 127.8MiB allocated
Compiler: Compiled 10 224 to 925 computations (91% saved)

prune7.0ms (0.2%)

Memory

-14.0MiB live, 24.7MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	380	2	382
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	381	2	383

Accuracy

100.0%

Counts

383 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
▶	49.5%	#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))

Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify11.0ms (0.3%)

Memory

25.6MiB live, 25.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 y #s(literal -3/8 binary64) x)
cost-diff	0	(*.f64 #s(literal -3/8 binary64) y)
cost-diff	0	#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	21
0	15	20
1	22	20
2	33	20
3	56	20
4	91	20
5	148	20
6	176	20
7	198	20
8	202	20
0	202	20

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(*.f64 #s(literal -3/8 binary64) y)
#s(literal -3/8 binary64)
y
(fma.f64 y #s(literal -3/8 binary64) x)
y
#s(literal -3/8 binary64)
x

Outputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(*.f64 #s(literal -3/8 binary64) y)
#s(literal -3/8 binary64)
y
(fma.f64 y #s(literal -3/8 binary64) x)
(fma.f64 #s(literal -3/8 binary64) y x)
y
#s(literal -3/8 binary64)
x

localize61.0ms (1.8%)

Memory

-22.9MiB live, 69.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y #s(literal -3/8 binary64) x)
accuracy	0	(*.f64 #s(literal -3/8 binary64) y)
accuracy	32.30118645744314	#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))

Samples

52.0ms	241×	0	valid
1.0ms	5×	3	valid
1.0ms	5×	2	valid
1.0ms	5×	1	valid

Compiler

Compiled 45 to 24 computations (46.7% saved)

Precisions

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

ival-mult: 11.0ms (63.5% of total)

ival-div: 2.0ms (11.5% of total)

adjust: 1.0ms (5.8% of total)

ival-add: 1.0ms (5.8% of total)

ival-sub: 1.0ms (5.8% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

3 → 8

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(*.f64 #s(literal -3/8 binary64) y)
(fma.f64 y #s(literal -3/8 binary64) x)

Outputs
(* -3/8 y)
(- x (* 3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* y (- (/ x y) 3/8))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	((- x (* (/ 3 8) y)) (* -3/8 y) (+ (* y -3/8) x))
0.0ms	y	@	inf	((- x (* (/ 3 8) y)) (* -3/8 y) (+ (* y -3/8) x))
0.0ms	y	@	0	((- x (* (/ 3 8) y)) (* -3/8 y) (+ (* y -3/8) x))
0.0ms	x	@	-inf	((- x (* (/ 3 8) y)) (* -3/8 y) (+ (* y -3/8) x))
0.0ms	x	@	inf	((- x (* (/ 3 8) y)) (* -3/8 y) (+ (* y -3/8) x))

simplify117.0ms (3.4%)

Memory

10.5MiB live, 127.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	34
1	73	34
2	199	34
3	595	34
4	1536	34
5	3224	34
6	4607	34
7	5847	34
8	7435	34
0	8051	28

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 7

Calls

Call 1

Inputs
(* -3/8 y)
(- x (* 3/8 y))
(+ x (* -3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(* y (- (/ x y) 3/8))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))

Outputs
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(- x (* 3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
(+ x (* -3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 #s(literal -3/8 binary64) y x)
(* y (- (/ x y) 3/8))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 #s(literal -3/8 binary64) y x)

rewrite174.0ms (5.1%)

Memory

-9.1MiB live, 186.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	16
0	15	15
1	44	15
2	336	15
3	3838	15
0	9030	15

Stop Event

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

Counts

3 → 327

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
(*.f64 #s(literal -3/8 binary64) y)
(fma.f64 y #s(literal -3/8 binary64) x)

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

eval39.0ms (1.1%)

Memory: 23.4MiB live, 95.4MiB allocated
Compiler: Compiled 6 430 to 647 computations (89.9% saved)

prune10.0ms (0.3%)

Memory

-26.2MiB live, 21.7MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	328	1	329
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	328	3	331

Accuracy

100.0%

Counts

331 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
▶	2.3%	#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
✓	49.5%	#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))

Compiler

Compiled 26 to 24 computations (7.7% saved)

simplify11.0ms (0.3%)

Memory

16.8MiB live, 16.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 y #s(literal 3/8 binary64))
cost-diff	0	#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
0	11	14
1	18	14
2	29	14
3	49	14
4	86	14
5	139	14
6	175	14
7	199	14
8	203	14
0	203	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
(*.f64 y #s(literal 3/8 binary64))
y
#s(literal 3/8 binary64)

Outputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
(*.f64 y #s(literal 3/8 binary64))
y
#s(literal 3/8 binary64)

localize23.0ms (0.7%)

Memory

-5.1MiB live, 33.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(*.f64 y #s(literal 3/8 binary64))
accuracy	62.544381952087996	#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))

Samples

16.0ms	241×	0	valid
1.0ms	5×	3	valid
1.0ms	5×	2	valid
0.0ms	5×	1	valid

Compiler

Compiled 30 to 21 computations (30% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-div: 4.0ms (36.1% of total)

ival-mult: 4.0ms (36.1% of total)

ival-sub: 1.0ms (9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0%)

Memory

2.2MiB live, 2.2MiB allocated

Counts

2 → 9

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
(*.f64 y #s(literal 3/8 binary64))

Outputs
(* -3/8 y)
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+ x (* -3/8 y))
(* 3/8 y)
(* y (- (/ x y) 3/8))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	((- x (* (/ 3 8) y)) (* y 3/8))
0.0ms	y	@	inf	((- x (* (/ 3 8) y)) (* y 3/8))
0.0ms	x	@	-inf	((- x (* (/ 3 8) y)) (* y 3/8))
0.0ms	x	@	inf	((- x (* (/ 3 8) y)) (* y 3/8))
0.0ms	y	@	0	((- x (* (/ 3 8) y)) (* y 3/8))

simplify126.0ms (3.7%)

Memory

-2.4MiB live, 71.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	37
1	73	37
2	199	37
3	594	37
4	1538	37
5	3229	37
6	4609	37
7	5848	37
8	7440	37
0	8056	31

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 8

Calls

Call 1

Inputs
(* -3/8 y)
(- x (* 3/8 y))
x
(* x (+ 1 (* -3/8 (/ y x))))
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(+ x (* -3/8 y))
(* 3/8 y)
(* y (- (/ x y) 3/8))
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))

Outputs
(* -3/8 y)
(*.f64 #s(literal -3/8 binary64) y)
(- x (* 3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
x
(* x (+ 1 (* -3/8 (/ y x))))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* x (- (* 3/8 (/ y x)) 1)))
(fma.f64 #s(literal -3/8 binary64) y x)
(+ x (* -3/8 y))
(fma.f64 #s(literal -3/8 binary64) y x)
(* 3/8 y)
(*.f64 #s(literal 3/8 binary64) y)
(* y (- (/ x y) 3/8))
(fma.f64 #s(literal -3/8 binary64) y x)
(* -1 (* y (+ 3/8 (* -1 (/ x y)))))
(fma.f64 #s(literal -3/8 binary64) y x)

rewrite202.0ms (5.9%)

Memory

-11.3MiB live, 226.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	12
0	11	12
1	30	12
2	197	12
3	1935	12
0	8711	11

Stop Event

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

Counts

2 → 44

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
(*.f64 y #s(literal 3/8 binary64))

Outputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal -3/8 binary64) y) (neg.f64 y))) (sqrt.f64 #s(literal 3/8 binary64)))
(.f64 (sqrt.f64 (.f64 (.f64 #s(literal -3/8 binary64) y) #s(literal -1 binary64))) (sqrt.f64 (.f64 y #s(literal 3/8 binary64))))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal -3/8 binary64))) (sqrt.f64 y))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal -3/8 binary64) y) y)) (sqrt.f64 #s(literal -3/8 binary64)))
(.f64 (sqrt.f64 (.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 3/8 binary64))) (sqrt.f64 (neg.f64 y)))
(.f64 (sqrt.f64 (neg.f64 (.f64 #s(literal -3/8 binary64) y))) (sqrt.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) y))))
(.f64 (sqrt.f64 (fabs.f64 y)) (sqrt.f64 (.f64 #s(literal 9/64 binary64) y)))
(.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (.f64 #s(literal 3/8 binary64) (*.f64 #s(literal -3/8 binary64) y))))
(.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (.f64 #s(literal -9/64 binary64) (*.f64 y y))))
(.f64 (sqrt.f64 #s(literal -3/8 binary64)) (sqrt.f64 (.f64 y (*.f64 #s(literal -3/8 binary64) y))))
(.f64 (sqrt.f64 (.f64 (*.f64 y y) #s(literal 3/8 binary64))) (sqrt.f64 #s(literal 3/8 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 9/64 binary64) y)) (sqrt.f64 (fabs.f64 y)))
(.f64 (sqrt.f64 (.f64 #s(literal 9/64 binary64) y)) (sqrt.f64 y))
(.f64 (sqrt.f64 (.f64 #s(literal -3/8 binary64) y)) (sqrt.f64 (*.f64 #s(literal -3/8 binary64) y)))
(.f64 (sqrt.f64 (.f64 y #s(literal 3/8 binary64))) (sqrt.f64 (*.f64 y #s(literal 3/8 binary64))))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 #s(literal -3/8 binary64) (*.f64 #s(literal -3/8 binary64) y))))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 #s(literal 9/64 binary64) y)))
(.f64 (sqrt.f64 #s(literal 3/8 binary64)) (sqrt.f64 (.f64 (neg.f64 y) (*.f64 #s(literal -3/8 binary64) y))))
(.f64 (sqrt.f64 #s(literal 3/8 binary64)) (sqrt.f64 (.f64 (*.f64 y y) #s(literal 3/8 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 3/8 binary64))) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(literal 3/8 binary64))))
(*.f64 (pow.f64 y #s(literal 1 binary64)) #s(literal 3/8 binary64))
(*.f64 (fabs.f64 y) #s(literal 3/8 binary64))
(.f64 #s(literal 1 binary64) (.f64 y #s(literal 3/8 binary64)))
(.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 1 binary64))
(*.f64 y #s(literal 3/8 binary64))
(*.f64 #s(literal 3/8 binary64) (pow.f64 y #s(literal 1 binary64)))
(*.f64 #s(literal 3/8 binary64) (fabs.f64 y))
(*.f64 #s(literal 3/8 binary64) y)
(pow.f64 (*.f64 #s(literal -3/8 binary64) y) #s(literal 1 binary64))
(pow.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 1 binary64))
(/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64)) (fabs.f64 (+.f64 #s(literal 0 binary64) (.f64 y #s(literal 3/8 binary64)))))
(/.f64 (pow.f64 (.f64 y #s(literal 3/8 binary64)) #s(literal 3 binary64)) (fabs.f64 (+.f64 #s(literal 0 binary64) (fma.f64 (.f64 #s(literal 9/64 binary64) y) y (.f64 #s(literal 0 binary64) (.f64 y #s(literal 3/8 binary64)))))))
(sqrt.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 0 binary64)))
(fabs.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) y)))
(fabs.f64 (*.f64 #s(literal -3/8 binary64) y))
(fabs.f64 (*.f64 y #s(literal 3/8 binary64)))
(exp.f64 (/.f64 (log.f64 (pow.f64 (*.f64 y #s(literal 3/8 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 y #s(literal 3/8 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 y #s(literal 3/8 binary64))))
(+.f64 (cosh.f64 (log.f64 (.f64 y #s(literal 3/8 binary64)))) (sinh.f64 (log.f64 (.f64 y #s(literal 3/8 binary64)))))

eval10.0ms (0.3%)

Memory: 12.4MiB live, 12.4MiB allocated
Compiler: Compiled 719 to 168 computations (76.6% saved)

prune5.0ms (0.2%)

Memory

8.3MiB live, 8.3MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	47	0	47
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	47	3	50

Accuracy

100.0%

Counts

50 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y #s(literal -3/8 binary64) x)
✓	2.3%	#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
✓	49.5%	#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))

Compiler

Compiled 59 to 43 computations (27.1% saved)

regimes23.0ms (0.7%)

Memory

-15.7MiB live, 21.0MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))
(fma.f64 y #s(literal -3/8 binary64) x)
(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))

Outputs
(fma.f64 y #s(literal -3/8 binary64) x)

Calls

4 calls:

10.0ms	y
4.0ms	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
4.0ms	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
4.0ms	x

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`y`
100.0%	1	`(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))`
100.0%	1	`(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

regimes13.0ms (0.4%)

Memory

15.7MiB live, 15.7MiB allocated

Accuracy

Total -30.7b remaining (-95.1%)

Threshold costs -30.7b (-95.1%)

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))
#s(approx (- x (* (/ 3 8) y)) (*.f64 y #s(literal 3/8 binary64)))

Outputs
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))

Calls

4 calls:

3.0ms	(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)
3.0ms	(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))
3.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
49.5%	1	`x`
49.5%	1	`y`
49.5%	1	`(-.f64 x (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y))`
49.5%	1	`(*.f64 (/.f64 #s(literal 3 binary64) #s(literal 8 binary64)) y)`

Compiler

Compiled 14 to 17 computations (-21.4% saved)

simplify56.0ms (1.6%)

Memory

-27.3MiB live, 59.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	13	13

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y #s(literal -3/8 binary64) x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))

Outputs
(fma.f64 y #s(literal -3/8 binary64) x)
#s(approx (- x (* (/ 3 8) y)) (*.f64 #s(literal -3/8 binary64) y))

soundness384.0ms (11.2%)

Memory

-2.7MiB live, 195.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	37
1	73	37
2	199	37
3	594	37
4	1538	37
5	3229	37
6	4609	37
7	5848	37
8	7440	37
0	8056	31
0	7	9
0	11	9
1	30	9
2	197	9
3	1935	9
0	8726	8

Stop Event

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

Compiler

Compiled 29 to 24 computations (17.2% saved)

preprocess23.0ms (0.7%)

Memory: 3.6MiB live, 81.7MiB allocated
Compiler: Compiled 44 to 36 computations (18.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	29
1	44	27
2	91	25
3	184	25
4	276	25
5	301	25
6	307	25
0	7	5
0	11	5
1	18	5
2	29	5
3	49	5
4	85	5
5	138	5
6	176	5
7	200	5
8	204	5
0	204	4

Iter	Nodes	Cost
0	12	21
0	15	20
1	22	20
2	33	20
3	56	20
4	91	20
5	148	20
6	176	20
7	198	20
8	202	20
0	202	20

Iter	Nodes	Cost
0	10	14
0	11	14
1	18	14
2	29	14
3	49	14
4	86	14
5	139	14
6	175	14
7	199	14
8	203	14
0	203	13

Iter	Nodes	Cost
0	16	29
1	44	27
2	91	25
3	184	25
4	276	25
5	301	25
6	307	25
0	7	5
0	11	5
1	18	5
2	29	5
3	49	5
4	85	5
5	138	5
6	176	5
7	200	5
8	204	5
0	204	4

Iter	Nodes	Cost
0	12	21
0	15	20
1	22	20
2	33	20
3	56	20
4	91	20
5	148	20
6	176	20
7	198	20
8	202	20
0	202	20

Iter	Nodes	Cost
0	10	14
0	11	14
1	18	14
2	29	14
3	49	14
4	86	14
5	139	14
6	175	14
7	199	14
8	203	14
0	203	13

start0.0ms (0%)

analyze0.0ms (0%)

sample876.0ms (25.5%)

explain158.0ms (4.6%)

preprocess62.0ms (1.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify29.0ms (0.9%)

localize44.0ms (1.3%)

series3.0ms (0.1%)

simplify416.0ms (12.1%)

rewrite443.0ms (12.9%)

eval102.0ms (3%)

prune7.0ms (0.2%)

simplify11.0ms (0.3%)

localize61.0ms (1.8%)

series2.0ms (0.1%)

simplify117.0ms (3.4%)

rewrite174.0ms (5.1%)

eval39.0ms (1.1%)

prune10.0ms (0.3%)

simplify11.0ms (0.3%)

localize23.0ms (0.7%)

series2.0ms (0%)

simplify126.0ms (3.7%)

rewrite202.0ms (5.9%)

eval10.0ms (0.3%)

prune5.0ms (0.2%)

regimes23.0ms (0.7%)

regimes13.0ms (0.4%)

simplify56.0ms (1.6%)

soundness384.0ms (11.2%)

preprocess23.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	29
1	44	27
2	91	25
3	184	25
4	276	25
5	301	25
6	307	25
0	7	5
0	11	5
1	18	5
2	29	5
3	49	5
4	85	5
5	138	5
6	176	5
7	200	5
8	204	5
0	204	4

Iter	Nodes	Cost
0	12	21
0	15	20
1	22	20
2	33	20
3	56	20
4	91	20
5	148	20
6	176	20
7	198	20
8	202	20
0	202	20

Iter	Nodes	Cost
0	10	14
0	11	14
1	18	14
2	29	14
3	49	14
4	86	14
5	139	14
6	175	14
7	199	14
8	203	14
0	203	13