Metrics for Data.Colour.SRGB:transferFunction from colour-2.3.3

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

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 8 computations (11.1% saved)

sample836.0ms (19.7%)

Memory

9.1MiB live, 992.0MiB allocated; 284ms collecting garbage

Samples

543.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 214.0ms

ival-add: 83.0ms (38.7% of total)

ival-mult: 61.0ms (28.5% of total)

ival-sub: 53.0ms (24.7% of total)

ival-true: 6.0ms (2.8% of total)

exact: 5.0ms (2.3% of total)

ival-assert: 3.0ms (1.4% of total)

adjust: 2.0ms (0.9% of total)

Bogosity

explain120.0ms (2.8%)

Memory

21.0MiB live, 126.6MiB allocated; 10ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 x #s(literal 1 binary64))`
-	-	`(*.f64 (+.f64 x #s(literal 1 binary64)) y)`
-	-	`y`
-	-	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
-	-	`#s(literal 1 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

80.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-sub: 32.0ms (80.8% of total)

ival-mult: 4.0ms (10.1% of total)

ival-add: 3.0ms (7.6% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess80.0ms (1.9%)

Memory

-9.0MiB live, 130.8MiB allocated; 14ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	26	43
2	54	41
3	156	41
4	295	36
5	545	35
6	947	35
7	1309	35
8	1363	35
9	1363	35
0	6	7
0	9	7
1	13	7
2	21	7
3	52	7
4	94	7
5	180	7
6	295	7
7	457	7
8	610	7
9	720	7
10	740	7
0	740	6

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

2.0MiB live, 2.1MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify20.0ms (0.5%)

Memory

-3.4MiB live, 41.6MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x #s(literal 1 binary64))
cost-diff	0	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
cost-diff	1	(*.f64 (+.f64 x #s(literal 1 binary64)) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	13	18
2	21	18
3	52	18
4	94	18
5	180	18
6	295	18
7	457	18
8	610	18
9	720	18
10	740	18
0	740	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (0.5%)

Memory

-14.9MiB live, 74.7MiB allocated; 7ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 x #s(literal 1 binary64))
accuracy	0.00390625	(*.f64 (+.f64 x #s(literal 1 binary64)) y)
accuracy	0.006191259768442017	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)

Samples

15.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 2.0ms (38.1% of total)

ival-mult: 2.0ms (38.1% of total)

ival-sub: 1.0ms (19% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Counts

3 → 19

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))
1.0ms	x	@	-inf	((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))
1.0ms	y	@	-inf	((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))
0.0ms	x	@	inf	((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))
0.0ms	y	@	0	((* (+ x 1) y) (- (* (+ x 1) y) x) (+ x 1))

simplify118.0ms (2.8%)

Memory

-20.7MiB live, 141.1MiB allocated; 19ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	86
1	147	86
2	470	86
3	1358	86
4	3111	86
5	5486	86
6	6761	86
0	8042	76

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 17

Calls

Call 1

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

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

rewrite215.0ms (5.1%)

Memory

39.7MiB live, 266.7MiB allocated; 32ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	37	15
2	246	15
3	2969	15
0	10458	13

Stop Event

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

Counts

3 → 252

Calls

Call 1

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

Outputs
(.f64 (fabs.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))) (fabs.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64))))
(.f64 (fabs.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 x x #s(literal -1 binary64)))) (fabs.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (fabs.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))))) (fabs.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) x)))
(.f64 (fabs.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) (fabs.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (fabs.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fabs.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(*.f64 (fabs.f64 (fma.f64 x x #s(literal -1 binary64))) (fabs.f64 (/.f64 y (-.f64 x #s(literal 1 binary64)))))
(*.f64 (fabs.f64 (fabs.f64 y)) (fabs.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) x))))
(*.f64 (fabs.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) x))) (fabs.f64 (fabs.f64 y)))
(*.f64 (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 y x y)))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 y x y)))))
(*.f64 (sqrt.f64 (neg.f64 (fma.f64 y x y))) (sqrt.f64 (neg.f64 (fma.f64 y x y))))
(*.f64 (sqrt.f64 (fma.f64 y x y)) (sqrt.f64 (fma.f64 y x y)))
(.f64 (sqrt.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y)) (sqrt.f64 y))
(.f64 (sqrt.f64 y) (sqrt.f64 (.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 2 binary64)) y)))
(.f64 (sqrt.f64 (.f64 (fma.f64 y x y) y)) (sqrt.f64 (+.f64 #s(literal 1 binary64) x)))
(.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) x)) (sqrt.f64 (.f64 (fma.f64 y x y) y)))
(*.f64 (exp.f64 (log1p.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log1p.f64 x)))
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 1 binary64)) (pow.f64 (/.f64 y (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) x) x #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (fabs.f64 y) (fabs.f64 (+.f64 #s(literal 1 binary64) x)))
(*.f64 (fabs.f64 (+.f64 #s(literal 1 binary64) x)) (fabs.f64 y))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (/.f64 y (-.f64 x #s(literal 1 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 y (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(*.f64 (+.f64 #s(literal 1 binary64) x) y)
(pow.f64 (neg.f64 (fma.f64 y x y)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (fma.f64 y x y) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (fma.f64 y x y) #s(literal 1 binary64))
(/.f64 (fabs.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) y)) (fabs.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (fabs.f64 (*.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) y)) (fabs.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (fabs.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) y)) (fabs.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (.f64 y (-.f64 #s(literal 1 binary64) (.f64 x x)))) (fabs.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (fabs.f64 (*.f64 y (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (fabs.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (fabs.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (fabs.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (-.f64 (.f64 y y) (pow.f64 (.f64 y x) #s(literal 2 binary64)))) (fabs.f64 (-.f64 y (*.f64 y x))))
(/.f64 (fabs.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y y))) (fabs.f64 (-.f64 (*.f64 y x) y)))
(/.f64 (fabs.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 y x) #s(literal 3 binary64)))) (fabs.f64 (fma.f64 y y (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (.f64 y (.f64 y x))))))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (-.f64 (.f64 y y) (.f64 (*.f64 y x) y)))))
(/.f64 (fabs.f64 (fabs.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (fabs.f64 (fabs.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (fabs.f64 (fabs.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y))) (fabs.f64 (fabs.f64 (-.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) y) (fma.f64 y x y))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) y y) (fma.f64 y x y))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (*.f64 (fma.f64 y x y) y))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (.f64 (fma.f64 y x y) y))) (sqrt.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 y x y) y))) (sqrt.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 x x #s(literal -1 binary64)) (.f64 (fma.f64 y x y) y))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (.f64 (fma.f64 y x y) y))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 y x y) y) (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 y x y) y) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))) (sqrt.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 y x y) y) (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 y x y) y) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (.f64 (.f64 (fma.f64 y x y) y) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (sqrt.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (sqrt.f64 (.f64 (fma.f64 y x y) (.f64 (fma.f64 x x #s(literal -1 binary64)) y))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
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(fma.f64 (exp.f64 (log1p.f64 x)) (exp.f64 (log.f64 y)) (neg.f64 x))
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(-.f64 (fma.f64 y x y) x)
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(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 x x)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x))
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(*.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 (-.f64 #s(literal 1 binary64) x) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (fma.f64 x x (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (*.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) (-.f64 x #s(literal 1 binary64))) (.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) #s(literal 1 binary64))) (.f64 (neg.f64 (-.f64 x #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 x x) (neg.f64 (-.f64 x #s(literal 1 binary64)))) (.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 x #s(literal 1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (-.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -2 binary64)) (.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (+.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (neg.f64 (-.f64 #s(literal 1 binary64) x)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))) (neg.f64 (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 1 binary64))) (*.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) (*.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) x))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 x x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (neg.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 x #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(neg.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))
(neg.f64 (/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(neg.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (neg.f64 (-.f64 x #s(literal 1 binary64)))))
(neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))))
(fma.f64 (sqrt.f64 (neg.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 (neg.f64 x))) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) #s(literal 1 binary64))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) #s(literal 1 binary64))
(fma.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (+.f64 (fma.f64 x x #s(literal -1 binary64)) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
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(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 #s(literal 1 binary64) x #s(literal 1 binary64))
(fma.f64 x (/.f64 (*.f64 x x) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(fma.f64 x #s(literal 1 binary64) #s(literal 1 binary64))
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 1 binary64) (neg.f64 x))
(+.f64 (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (-.f64 #s(literal 1 binary64) x))) (pow.f64 (fma.f64 x x (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(+.f64 x #s(literal 1 binary64))

eval84.0ms (2%)

Memory: -35.4MiB live, 108.0MiB allocated; 31ms collecting garbage
Compiler: Compiled 5 323 to 887 computations (83.3% saved)

prune6.0ms (0.1%)

Memory

21.9MiB live, 21.9MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	254	5	259
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	255	5	260

Accuracy

100.0%

Counts

260 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 y x (-.f64 y x))
▶	77.2%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
▶	58.0%	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
▶	58.0%	#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
▶	35.4%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Compiler

Compiled 98 to 76 computations (22.4% saved)

simplify28.0ms (0.7%)

Memory

-13.7MiB live, 31.2MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (+ x 1) #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
cost-diff	0	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* (+ x 1) y) (*.f64 y x))
cost-diff	0	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
cost-diff	0	(-.f64 y #s(literal 1 binary64))
cost-diff	0	(*.f64 (-.f64 y #s(literal 1 binary64)) x)
cost-diff	0	#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
cost-diff	0	(neg.f64 x)
cost-diff	0	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
cost-diff	0	(-.f64 y x)
cost-diff	0	(fma.f64 y x (-.f64 y x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	97
0	28	97
1	38	95
2	52	95
3	77	95
4	140	95
5	256	95
6	438	95
7	607	95
8	819	95
9	875	95
10	887	95
0	887	93

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 y x (-.f64 y x))
y
x
(-.f64 y x)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
x
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
#s(approx (* (+ x 1) y) (*.f64 y x))
(*.f64 y x)
y
x
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
#s(approx (+ x 1) #s(literal 1 binary64))
#s(literal 1 binary64)
y
x

Outputs
(fma.f64 y x (-.f64 y x))
(fma.f64 x y (-.f64 y x))
y
x
(-.f64 y x)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(neg.f64 x)
x
#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(-.f64 y #s(literal 1 binary64))
y
#s(literal 1 binary64)
x
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
(-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x)
#s(approx (* (+ x 1) y) (*.f64 y x))
#s(approx (* (+ x 1) y) (*.f64 x y))
(*.f64 y x)
(*.f64 x y)
y
x
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y (neg.f64 x))
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
#s(approx (+ x 1) #s(literal 1 binary64))
#s(literal 1 binary64)
y
x

localize44.0ms (1%)

Memory

25.8MiB live, 80.6MiB allocated; 18ms collecting garbage

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
accuracy	0.006191259768442017	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
accuracy	27.914830359370402	#s(approx (+ x 1) #s(literal 1 binary64))
accuracy	0.0	(*.f64 y x)
accuracy	0.006191259768442017	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
accuracy	34.496058187145046	#s(approx (* (+ x 1) y) (*.f64 y x))
accuracy	0.0	(-.f64 y #s(literal 1 binary64))
accuracy	0.01953125	(*.f64 (-.f64 y #s(literal 1 binary64)) x)
accuracy	26.868221493776467	#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
accuracy	0.0	(neg.f64 x)
accuracy	41.346090792972156	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
accuracy	0.0	(fma.f64 y x (-.f64 y x))
accuracy	0.0	(-.f64 y x)

Samples

35.0ms

256×

valid

Compiler

Compiled 77 to 14 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-neg: 9.0ms (43.5% of total)

ival-mult: 5.0ms (24.2% of total)

ival-sub: 4.0ms (19.3% of total)

ival-add: 2.0ms (9.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series15.0ms (0.3%)

Memory

-22.0MiB live, 22.9MiB allocated; 15ms collecting garbage

Counts

13 → 34

Calls

Call 1

Inputs
(fma.f64 y x (-.f64 y x))
(-.f64 y x)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(neg.f64 x)
#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(-.f64 y #s(literal 1 binary64))
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
#s(approx (* (+ x 1) y) (*.f64 y x))
(*.f64 y x)
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
#s(approx (+ x 1) #s(literal 1 binary64))

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

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	0	((+ (* y x) (- y x)) (- y x) (- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (* (- y 1) x) (- y 1) (- (* (+ x 1) y) x) (* (+ x 1) y) (* y x) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1))
2.0ms	x	@	inf	((+ (* y x) (- y x)) (- y x) (- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (* (- y 1) x) (- y 1) (- (* (+ x 1) y) x) (* (+ x 1) y) (* y x) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1))
1.0ms	y	@	-inf	((+ (* y x) (- y x)) (- y x) (- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (* (- y 1) x) (- y 1) (- (* (+ x 1) y) x) (* (+ x 1) y) (* y x) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1))
1.0ms	x	@	-inf	((+ (* y x) (- y x)) (- y x) (- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (* (- y 1) x) (- y 1) (- (* (+ x 1) y) x) (* (+ x 1) y) (* y x) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1))
1.0ms	y	@	inf	((+ (* y x) (- y x)) (- y x) (- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (* (- y 1) x) (- y 1) (- (* (+ x 1) y) x) (* (+ x 1) y) (* y x) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1))

simplify156.0ms (3.7%)

Memory

2.0MiB live, 193.4MiB allocated; 38ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	70	147
1	226	141
2	682	141
3	1780	141
4	3800	141
5	4982	141
6	5845	141
7	6662	141
8	7402	141
9	7745	141
0	8841	129

Stop Event

1×	iter limit
1×	node limit

Counts

34 → 32

Calls

Call 1

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

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

rewrite245.0ms (5.8%)

Memory

34.0MiB live, 260.1MiB allocated; 68ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	86
0	28	86
1	111	84
2	821	84
0	8627	82

Stop Event

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

Counts

13 → 202

Calls

Call 1

Inputs
(fma.f64 y x (-.f64 y x))
(-.f64 y x)
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
(neg.f64 x)
#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(*.f64 (-.f64 y #s(literal 1 binary64)) x)
(-.f64 y #s(literal 1 binary64))
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
#s(approx (* (+ x 1) y) (*.f64 y x))
(*.f64 y x)
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
#s(approx (+ x 1) #s(literal 1 binary64))

Outputs
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y (-.f64 x #s(literal 1 binary64)) x)) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y (-.f64 x #s(literal 1 binary64)) x))) (.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fma.f64 y (-.f64 x #s(literal 1 binary64)) x)) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fma.f64 y (-.f64 x #s(literal 1 binary64)) x)))) (+.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y (-.f64 x #s(literal 1 binary64)) x)) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fma.f64 y (-.f64 x #s(literal 1 binary64)) x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) x) y x)) (/.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) x) y x))) (.f64 (/.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 1 binary64) x) y x)) (/.f64 (.f64 x x) (fma.f64 (+.f64 #s(literal 1 binary64) x) y x)))) (+.f64 (/.f64 (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)) (fma.f64 (+.f64 #s(literal 1 binary64) x) y x)) (/.f64 (*.f64 x x) (fma.f64 (+.f64 #s(literal 1 binary64) x) y x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) x) y x) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) x) y x) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) x) y x) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) x) y x) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (fma.f64 x y y) #s(literal 3 binary64)) (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) x) y x) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) x) y x) (pow.f64 (fma.f64 x y y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 y y) (.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) (.f64 x (-.f64 #s(literal 1 binary64) y)))) (+.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (-.f64 y x) (-.f64 (-.f64 y x) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (-.f64 y x) (-.f64 (-.f64 y x) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 y x) (-.f64 (-.f64 y x) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 y x) (-.f64 (-.f64 y x) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))) (-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (-.f64 y x) (-.f64 (-.f64 y x) (.f64 x y)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 y x) #s(literal 3 binary64)) (fma.f64 (-.f64 y x) (-.f64 (-.f64 y x) (.f64 x y)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y (-.f64 x #s(literal 1 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fma.f64 y (-.f64 x #s(literal 1 binary64)) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y (-.f64 x #s(literal 1 binary64)) x)) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y (-.f64 x #s(literal 1 binary64)) x)) (fma.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fma.f64 y (-.f64 x #s(literal 1 binary64)) x)) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fma.f64 y (-.f64 x #s(literal 1 binary64)) x)) (.f64 (/.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y (-.f64 x #s(literal 1 binary64)) x)) (/.f64 (pow.f64 (-.f64 y x) #s(literal 2 binary64)) (fma.f64 y (-.f64 x #s(literal 1 binary64)) x))))))
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(-.f64 (/.f64 (pow.f64 #s(approx (* (+ x 1) y) (.f64 x y)) #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx ( (+ x 1) y) (.f64 x y)) x) (pow.f64 #s(approx ( (+ x 1) y) (.f64 x y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (+.f64 #s(approx ( (+ x 1) y) (.f64 x y)) x) (pow.f64 #s(approx ( (+ x 1) y) (*.f64 x y)) #s(literal 2 binary64)))))
(-.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x)
(+.f64 (/.f64 (pow.f64 #s(approx (* (+ x 1) y) (.f64 x y)) #s(literal 2 binary64)) (+.f64 #s(approx ( (+ x 1) y) (.f64 x y)) x)) (/.f64 (.f64 (neg.f64 x) x) (+.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) x)))
(+.f64 #s(approx (* (+ x 1) y) (*.f64 x y)) (neg.f64 x))
#s(approx (* (+ x 1) y) (*.f64 x y))
(.f64 (.f64 x y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x y))
(*.f64 x y)
(*.f64 y x)
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))) (.f64 (/.f64 (.f64 x x) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) (/.f64 (.f64 x x) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)))) (+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) (/.f64 (.f64 x x) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))) (+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) (fma.f64 (/.f64 (.f64 x x) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) (/.f64 (.f64 x x) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) (.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) (/.f64 (*.f64 x x) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) (.f64 (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (.f64 x x))) (*.f64 (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (.f64 (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x)) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x))) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (.f64 x x)) (neg.f64 (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64))))))
(fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) #s(literal 1 binary64)) y (neg.f64 x))
(fma.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (neg.f64 x))
(fma.f64 y (*.f64 #s(literal 1 binary64) #s(approx (+ x 1) #s(literal 1 binary64))) (neg.f64 x))
(fma.f64 y #s(approx (+ x 1) #s(literal 1 binary64)) (neg.f64 x))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) (/.f64 (.f64 x x) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)))
(-.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x) (pow.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)))))
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(+.f64 (/.f64 (pow.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 2 binary64)) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)) (/.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y x)))
(+.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) (neg.f64 x))
(.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) #s(literal 1 binary64)) y)
(.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) #s(literal 1 binary64))
(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
(.f64 #s(literal 1 binary64) (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y))
(.f64 y (.f64 #s(literal 1 binary64) #s(approx (+ x 1) #s(literal 1 binary64))))
(*.f64 y #s(approx (+ x 1) #s(literal 1 binary64)))
#s(approx (+ x 1) #s(literal 1 binary64))

eval64.0ms (1.5%)

Memory: -47.0MiB live, 59.6MiB allocated; 9ms collecting garbage
Compiler: Compiled 7 114 to 697 computations (90.2% saved)

prune6.0ms (0.1%)

Memory

20.0MiB live, 20.0MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	213	1	214
Fresh	0	0	0
Picked	0	5	5
Done	0	0	0
Total	213	6	219

Accuracy

100.0%

Counts

219 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y x (-.f64 y x))
✓	77.2%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓	58.0%	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
✓	58.0%	#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
✓	35.4%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
▶	66.4%	#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))

Compiler

Compiled 61 to 45 computations (26.2% saved)

simplify23.0ms (0.6%)

Memory

-11.8MiB live, 33.7MiB allocated; 4ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 x y y)
cost-diff	0	#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
0	9	17
1	18	17
2	34	17
3	56	17
4	93	17
5	150	17
6	324	17
7	490	17
8	641	17
9	737	17
10	796	17
11	807	17
0	807	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.5%)

Memory

6.3MiB live, 50.0MiB allocated; 5ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(fma.f64 x y y)
accuracy	21.501271144839013	#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))

Samples

17.0ms

256×

valid

Compiler

Compiled 16 to 9 computations (43.8% saved)

Precisions

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

ival-mult: 4.0ms (49.6% of total)

ival-add: 2.0ms (24.8% of total)

ival-sub: 1.0ms (12.4% of total)

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

adjust: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

6.0MiB live, 6.0MiB allocated; 0ms collecting garbage

Counts

2 → 16

Calls

Call 1

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

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

Calls

6 calls:

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

simplify126.0ms (3%)

Memory

18.7MiB live, 161.6MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	83
1	136	83
2	420	83
3	1171	83
4	2783	83
5	4461	83
6	5271	83
7	6094	83
8	7150	83
0	8144	72

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 15

Calls

Call 1

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

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

rewrite301.0ms (7.1%)

Memory

-24.2MiB live, 258.4MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
0	9	15
1	57	15
2	406	15
3	5603	15
0	8119	15

Stop Event

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

Counts

2 → 81

Calls

Call 1

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

Outputs
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
(.f64 (/.f64 (.f64 y (fma.f64 (.f64 x x) y (neg.f64 y))) (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 x y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 y (fma.f64 (.f64 x x) y (neg.f64 y))) (.f64 y (fma.f64 (*.f64 x x) y (neg.f64 y)))) (fma.f64 x y y))
(.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y (.f64 x y)) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (-.f64 y (.f64 x y)) y)))
(.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (-.f64 y (.f64 x y)) y) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y (.f64 x y)) y) (-.f64 (.f64 (-.f64 y (.f64 x y)) y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (pow.f64 (*.f64 x y) #s(literal 4 binary64))))
(.f64 (fma.f64 x y y) (/.f64 (-.f64 (.f64 x y) y) (-.f64 (*.f64 x y) y)))
(*.f64 (+.f64 #s(literal 1 binary64) x) y)
(.f64 (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y)))) (/.f64 (fma.f64 x y y) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (*.f64 x y))))))
(*.f64 y (+.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (-.f64 (.f64 x x) #s(literal 1 binary64)) y) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) y) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (.f64 y (-.f64 (.f64 x x) #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 (*.f64 y (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (-.f64 #s(literal 1 binary64) x)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 x y) y)) #s(literal 2 binary64)) (pow.f64 (.f64 y (/.f64 y (-.f64 (.f64 x y) y))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 x y) y)) (.f64 y (/.f64 y (-.f64 (.f64 x y) y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))) #s(literal 2 binary64))) (-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y)))))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 x y) y)) #s(literal 3 binary64)) (pow.f64 (.f64 y (/.f64 y (-.f64 (.f64 x y) y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 x y) y)) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 y (/.f64 y (-.f64 (.f64 x y) y))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 x y) y)) (.f64 y (/.f64 y (-.f64 (*.f64 x y) y)))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y)))))))))
(/.f64 (neg.f64 (.f64 y (-.f64 y (.f64 (.f64 x x) y)))) (neg.f64 (-.f64 y (.f64 x y))))
(/.f64 (neg.f64 (neg.f64 (.f64 y (fma.f64 (.f64 x x) y (neg.f64 y))))) (neg.f64 (neg.f64 (-.f64 (*.f64 x y) y))))
(/.f64 (neg.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (neg.f64 (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y)))))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 x y) y)) (.f64 (-.f64 (.f64 x y) y) (.f64 y y))) (pow.f64 (-.f64 (*.f64 x y) y) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y)))) (.f64 (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y)))) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (*.f64 x y)))) #s(literal 2 binary64)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (.f64 (fma.f64 y y (pow.f64 (.f64 x y) #s(literal 2 binary64))) (-.f64 (.f64 x y) y)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (+.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (.f64 x y) #s(literal 4 binary64))) (-.f64 (*.f64 x y) y)))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))))
(/.f64 (.f64 y (-.f64 y (.f64 (.f64 x x) y))) (-.f64 y (.f64 x y)))
(/.f64 (+.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 (.f64 x y) #s(literal 9 binary64))) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 x y) #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64))) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))))
(/.f64 (neg.f64 (.f64 y (fma.f64 (.f64 x x) y (neg.f64 y)))) (neg.f64 (-.f64 (*.f64 x y) y)))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))))
(/.f64 (.f64 y (fma.f64 (.f64 x x) y (neg.f64 y))) (-.f64 (*.f64 x y) y))
(/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y)))))
(neg.f64 (/.f64 (neg.f64 (.f64 y (fma.f64 (.f64 x x) y (neg.f64 y)))) (-.f64 (*.f64 x y) y)))
(neg.f64 (/.f64 (neg.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))))
(neg.f64 (/.f64 (.f64 y (fma.f64 (.f64 x x) y (neg.f64 y))) (neg.f64 (-.f64 (*.f64 x y) y))))
(neg.f64 (/.f64 (.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64))) (neg.f64 (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y)))))))
(fma.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 x y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (*.f64 x y) y)))
(fma.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 y (fma.f64 (.f64 x x) y (neg.f64 y)))) (fma.f64 x y y) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (*.f64 x y) y)))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y (.f64 x y)) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (-.f64 y (.f64 x y)) y)) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 y (.f64 x y)) y) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y (.f64 x y)) y) (-.f64 (.f64 (-.f64 y (.f64 x y)) y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (pow.f64 (.f64 x y) #s(literal 4 binary64))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (*.f64 x y))))))
(fma.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (-.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 (.f64 (-.f64 y (.f64 x y)) y) #s(literal 2 binary64)))) (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (-.f64 y (.f64 x y)) y)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))))
(fma.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 (-.f64 y (.f64 x y)) y) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 6 binary64)))) (fma.f64 (.f64 (-.f64 y (.f64 x y)) y) (-.f64 (.f64 (-.f64 y (.f64 x y)) y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (pow.f64 (.f64 x y) #s(literal 4 binary64))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (*.f64 x y))))))
(fma.f64 (.f64 (.f64 x x) y) (/.f64 y (-.f64 (.f64 x y) y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (*.f64 x y) y)))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (*.f64 x y))))))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 x y) #s(literal 3/2 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))))
(fma.f64 (.f64 (neg.f64 x) y) (/.f64 (.f64 (neg.f64 x) y) (-.f64 (.f64 x y) y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (*.f64 x y) y)))
(fma.f64 (fabs.f64 (.f64 x y)) (/.f64 (fabs.f64 (.f64 x y)) (-.f64 (.f64 x y) y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (*.f64 x y) y)))
(fma.f64 #s(literal 1 binary64) y (*.f64 x y))
(fma.f64 (.f64 x x) (.f64 y (/.f64 y (-.f64 (.f64 x y) y))) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (*.f64 x y) y)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))))
(fma.f64 (.f64 (.f64 y y) x) (/.f64 x (-.f64 (.f64 x y) y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (*.f64 x y) y)))
(fma.f64 (.f64 y y) (/.f64 (.f64 x x) (-.f64 (.f64 x y) y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (*.f64 x y) y)))
(fma.f64 (.f64 y y) (/.f64 y (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 (.f64 x y) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))))
(fma.f64 (.f64 x y) (/.f64 (.f64 x y) (-.f64 (.f64 x y) y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (*.f64 x y) y)))
(fma.f64 (.f64 x y) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))))
(fma.f64 x (/.f64 (.f64 (.f64 y y) x) (-.f64 (.f64 x y) y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (*.f64 x y) y)))
(fma.f64 x y (*.f64 #s(literal 1 binary64) y))
(fma.f64 x y (*.f64 y #s(literal 1 binary64)))
(fma.f64 x y y)
(fma.f64 y (/.f64 (.f64 (.f64 x x) y) (-.f64 (.f64 x y) y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (*.f64 x y) y)))
(fma.f64 y (/.f64 (.f64 y y) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))))
(fma.f64 y #s(literal 1 binary64) (*.f64 x y))
(fma.f64 y x (*.f64 #s(literal 1 binary64) y))
(fma.f64 y x (*.f64 y #s(literal 1 binary64)))
(fma.f64 y x y)
(-.f64 (/.f64 (.f64 y y) (-.f64 y (.f64 x y))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 y (.f64 x y))))
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 x y) y)) (.f64 y (/.f64 y (-.f64 (.f64 x y) y))))
(-.f64 y (*.f64 (neg.f64 x) y))
(+.f64 (.f64 #s(literal 1 binary64) y) (.f64 x y))
(+.f64 (.f64 y #s(literal 1 binary64)) (.f64 x y))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (*.f64 x y))))))
(+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (.f64 x y))))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 y (fma.f64 (.f64 x x) y (-.f64 y (*.f64 x y))))))
(+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (-.f64 (.f64 x y) y)) (/.f64 (.f64 (neg.f64 y) y) (-.f64 (.f64 x y) y)))
(+.f64 (.f64 x y) (.f64 #s(literal 1 binary64) y))
(+.f64 (.f64 x y) (.f64 y #s(literal 1 binary64)))
(+.f64 (*.f64 x y) y)
(+.f64 y (*.f64 (neg.f64 (neg.f64 x)) y))
(+.f64 y (*.f64 (neg.f64 (neg.f64 y)) x))
(+.f64 y (*.f64 x y))

eval10.0ms (0.2%)

Memory: 22.8MiB live, 22.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 793 to 330 computations (88.2% saved)

prune3.0ms (0.1%)

Memory

8.6MiB live, 8.6MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	85	7	92

Accuracy

100.0%

Counts

92 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y x (-.f64 y x))
✓	77.2%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓	58.0%	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
✓	58.0%	#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
✓	35.4%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
✓	66.4%	#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
▶	25.4%	#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))

Compiler

Compiled 78 to 55 computations (29.5% saved)

simplify28.0ms (0.7%)

Memory

-39.4MiB live, 15.9MiB allocated; 11ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
0	11	31
1	20	31
2	36	31
3	58	31
4	95	31
5	152	31
6	324	31
7	491	31
8	644	31
9	741	31
10	797	31
11	809	31
0	809	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize20.0ms (0.5%)

Memory

27.6MiB live, 27.6MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	21.501271144839013	#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))
accuracy	34.496058187145046	#s(approx (+ (* x y) y) (*.f64 x y))

Samples

14.0ms

256×

valid

Compiler

Compiled 19 to 9 computations (52.6% saved)

Precisions

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

ival-mult: 4.0ms (50.6% of total)

ival-add: 2.0ms (25.3% of total)

ival-sub: 1.0ms (12.6% of total)

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

adjust: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Counts

3 → 16

Calls

Call 1

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

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

Calls

6 calls:

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

simplify128.0ms (3%)

Memory

5.1MiB live, 90.3MiB allocated; 20ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	83
1	136	83
2	420	83
3	1167	83
4	2777	83
5	4423	83
6	5224	83
7	6045	83
8	7097	83
0	8108	72

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 15

Calls

Call 1

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

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

rewrite212.0ms (5%)

Memory

-17.6MiB live, 323.9MiB allocated; 61ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	29
0	11	29
1	59	29
2	407	29
3	5606	29
0	8123	26

Stop Event

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

Counts

3 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

Memory: 3.9MiB live, 3.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 156 to 28 computations (82.1% saved)

prune4.0ms (0.1%)

Memory

16.5MiB live, 16.5MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	10	0	10
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	10	7	17

Accuracy

100.0%

Counts

17 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 y x (-.f64 y x))
✓	77.2%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓	58.0%	(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
✓	58.0%	#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
✓	35.4%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
✓	66.4%	#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
✓	25.4%	#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))

Compiler

Compiled 163 to 88 computations (46% saved)

regimes11.0ms (0.3%)

Memory

4.5MiB live, 51.0MiB allocated; 2ms collecting garbage

Counts

8 → 1

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
(fma.f64 y x (-.f64 y x))
(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)

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

Calls

3 calls:

4.0ms	y
3.0ms	x
3.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes11.0ms (0.3%)

Memory

-1.4MiB live, 42.0MiB allocated; 5ms collecting garbage

Counts

6 → 3

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)

Outputs
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)
(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))

Calls

3 calls:

6.0ms	y
2.0ms	x
2.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)

Results

Accuracy	Segments	Branch
92.2%	3	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
99.5%	3	`x`
99.2%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes147.0ms (3.5%)

Memory

-33.4MiB live, 104.4MiB allocated; 81ms collecting garbage

Counts

5 → 3

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(-.f64 #s(approx (* (+ x 1) y) (*.f64 y x)) x)

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

Calls

3 calls:

142.0ms	y
2.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
2.0ms	x

Results

Accuracy	Segments	Branch
66.4%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
86.7%	3	`y`
89.1%	3	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes46.0ms (1.1%)

Memory

-39.0MiB live, 5.9MiB allocated; 5ms collecting garbage

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
#s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))

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

Calls

1 calls:

45.0ms

Results

Accuracy	Segments	Branch
89.1%	3	`x`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

11.3MiB live, 11.3MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))

Outputs
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (+ (* y x) (- y x)) (fma.f64 x y y))

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
86.7%	3	`y`
70.0%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))

Outputs
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))

Calls

3 calls:

1.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
49.8%	3	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
40.6%	3	`x`
57.3%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Outputs
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Calls

3 calls:

1.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
1.0ms	x
1.0ms	y

Results

Accuracy	Segments	Branch
35.4%	1	`x`
35.4%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
35.4%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch79.0ms (1.9%)

Memory

-39.4MiB live, 57.0MiB allocated; 12ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.29496571988738e-18	2.294987488418599e-16
38.0ms	-825306985244.9878	-39195182.001332395

Samples

11.0ms

240×

valid

Compiler

Compiled 324 to 295 computations (9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 2.0ms (40.3% of total)

ival-sub: 1.0ms (20.2% of total)

ival-add: 1.0ms (20.2% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch25.0ms (0.6%)

Memory

34.8MiB live, 34.8MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	3.660214089187253e-114	5.685404672388008e-103
9.0ms	-4.4128404031478405	-0.025946479775904693

Samples

12.0ms

272×

valid

Compiler

Compiled 421 to 320 computations (24% saved)

Precisions

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

ival-add: 2.0ms (36.2% of total)

ival-mult: 2.0ms (36.2% of total)

ival-sub: 1.0ms (18.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	3.660214089187253e-114	5.685404672388008e-103
1.0ms	-4.4128404031478405	-0.025946479775904693

Compiler

Compiled 435 to 334 computations (23.2% saved)

bsearch59.0ms (1.4%)

Memory

-4.5MiB live, 39.8MiB allocated; 6ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	4.8447917247667354e-126	3.884301303914808e-118
44.0ms	-2.1999199032207556e-35	-1.107402933695463e-41

Samples

13.0ms

288×

valid

Compiler

Compiled 406 to 317 computations (21.9% saved)

Precisions

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

ival-add: 2.0ms (31.4% of total)

ival-mult: 2.0ms (31.4% of total)

ival-sub: 1.0ms (15.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

bsearch30.0ms (0.7%)

Memory

-16.3MiB live, 30.3MiB allocated; 3ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.006809766377336897	1.4103268070037294
19.0ms	-2140785673.0022316	-3983.861397945904

Samples

11.0ms

256×

valid

Compiler

Compiled 442 to 331 computations (25.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-add: 2.0ms (38.7% of total)

ival-mult: 2.0ms (38.7% of total)

ival-sub: 1.0ms (19.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify27.0ms (0.6%)

Memory

26.9MiB live, 26.9MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	202
1	83	202
2	104	202
3	131	202
4	206	202
5	379	202
6	530	202
7	608	202
8	656	202
9	657	202

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 y x (-.f64 y x))
(if (<=.f64 x #s(literal -40000000 binary64)) (-.f64 #s(approx (* (+ x 1) y) (.f64 y x)) x) (if (<=.f64 x #s(literal 8924260225606735/40564819207303340847894502572032 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))))
(if (<=.f64 x #s(literal -5908722711110091/72057594037927936 binary64)) (-.f64 #s(approx (* (+ x 1) y) (.f64 y x)) x) (if (<=.f64 x #s(literal 5144325929001263/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) #s(approx (+ ( y x) (- y x)) (fma.f64 x y y)) #s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))))
(if (<=.f64 x #s(literal -5908722711110091/72057594037927936 binary64)) #s(approx (- (* (+ x 1) y) x) (.f64 (-.f64 y #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 5144325929001263/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) #s(approx (+ ( y x) (- y x)) (fma.f64 x y y)) #s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))))
(if (<=.f64 y #s(literal -8336775742310435/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 x y y)) (if (<=.f64 y #s(literal 2157802462752583/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (+ (* y x) (- y x)) (fma.f64 x y y))))
(if (<=.f64 y #s(literal -4000 binary64)) #s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- ( (+ x 1) y) x) (neg.f64 x)) #s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Outputs
(fma.f64 y x (-.f64 y x))
(if (<=.f64 x #s(literal -40000000 binary64)) (-.f64 #s(approx (* (+ x 1) y) (.f64 y x)) x) (if (<=.f64 x #s(literal 8924260225606735/40564819207303340847894502572032 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))))
(if (<=.f64 x #s(literal -40000000 binary64)) (-.f64 #s(approx (+ (* x y) y) (.f64 y x)) x) (if (<=.f64 x #s(literal 8924260225606735/40564819207303340847894502572032 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (+ (* y x) (- y x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))))
(if (<=.f64 x #s(literal -5908722711110091/72057594037927936 binary64)) (-.f64 #s(approx (* (+ x 1) y) (.f64 y x)) x) (if (<=.f64 x #s(literal 5144325929001263/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) #s(approx (+ ( y x) (- y x)) (fma.f64 x y y)) #s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))))
(if (<=.f64 x #s(literal -5908722711110091/72057594037927936 binary64)) (-.f64 #s(approx (+ (* x y) y) (.f64 y x)) x) (if (<=.f64 x #s(literal 5144325929001263/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) #s(approx (+ ( y x) (- y x)) (fma.f64 x y y)) #s(approx (+ (* y x) (- y x)) (*.f64 (-.f64 y #s(literal 1 binary64)) x))))
(if (<=.f64 x #s(literal -5908722711110091/72057594037927936 binary64)) #s(approx (- (* (+ x 1) y) x) (.f64 (-.f64 y #s(literal 1 binary64)) x)) (if (<=.f64 x #s(literal 5144325929001263/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)) #s(approx (+ ( y x) (- y x)) (fma.f64 x y y)) #s(approx (- (* (+ x 1) y) x) (*.f64 (-.f64 y #s(literal 1 binary64)) x))))
(if (or (<=.f64 x #s(literal -5908722711110091/72057594037927936 binary64)) (not (<=.f64 x #s(literal 5144325929001263/10086913586276986678343434265636765134100413253239154346994763111486904773503285916522052161250538404046496765518544896 binary64)))) #s(approx (+ (* y x) (- y x)) (.f64 (-.f64 y #s(literal 1 binary64)) x)) #s(approx (+ ( y x) (- y x)) (fma.f64 x y y)))
(if (<=.f64 y #s(literal -8336775742310435/12259964326927110866866776217202473468949912977468817408 binary64)) #s(approx (+ (* y x) (- y x)) (fma.f64 x y y)) (if (<=.f64 y #s(literal 2157802462752583/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (+ (* y x) (- y x)) (fma.f64 x y y))))
(if (or (<=.f64 y #s(literal -8336775742310435/12259964326927110866866776217202473468949912977468817408 binary64)) (not (<=.f64 y #s(literal 2157802462752583/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552 binary64)))) #s(approx (+ (* y x) (- y x)) (fma.f64 x y y)) #s(approx (+ (* y x) (- y x)) (neg.f64 x)))
(if (<=.f64 y #s(literal -4000 binary64)) #s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- ( (+ x 1) y) x) (neg.f64 x)) #s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (*.f64 x y)))))
(if (or (<=.f64 y #s(literal -4000 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (+ (* y x) (- y x)) #s(approx (+ (* x y) y) (.f64 x y))) #s(approx (+ ( y x) (- y x)) (neg.f64 x)))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (+ (* y x) (- y x)) (neg.f64 x))

derivations796.0ms (18.7%)

Memory

-26.8MiB live, 584.8MiB allocated; 103ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	37	15
2	246	15
3	2969	15
0	10458	13
0	41	83
1	136	83
2	420	83
3	1171	83
4	2783	83
5	4461	83
6	5271	83
7	6094	83
8	7150	83
0	8144	72
0	70	147
1	226	141
2	682	141
3	1780	141
4	3800	141
5	4982	141
6	5845	141
7	6662	141
8	7402	141
9	7745	141
0	8841	129
0	41	86
1	147	86
2	470	86
3	1358	86
4	3111	86
5	5486	86
6	6761	86
0	8042	76

Stop Event

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

Compiler

Compiled 202 to 56 computations (72.3% saved)

preprocess62.0ms (1.5%)

Memory: -5.0MiB live, 97.4MiB allocated; 16ms collecting garbage
Compiler: Compiled 418 to 124 computations (70.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

Iter	Nodes	Cost
0	6	18
0	9	18
1	13	18
2	21	18
3	52	18
4	94	18
5	180	18
6	295	18
7	457	18
8	610	18
9	720	18
10	740	18
0	740	16

Iter	Nodes	Cost
0	19	97
0	28	97
1	38	95
2	52	95
3	77	95
4	140	95
5	256	95
6	438	95
7	607	95
8	819	95
9	875	95
10	887	95
0	887	93

Iter	Nodes	Cost
0	7	18
0	9	17
1	18	17
2	34	17
3	56	17
4	93	17
5	150	17
6	324	17
7	490	17
8	641	17
9	737	17
10	796	17
11	807	17
0	807	17

Iter	Nodes	Cost
0	10	31
0	11	31
1	20	31
2	36	31
3	58	31
4	95	31
5	152	31
6	324	31
7	491	31
8	644	31
9	741	31
10	797	31
11	809	31
0	809	28

Iter	Nodes	Cost
0	53	202
1	83	202
2	104	202
3	131	202
4	206	202
5	379	202
6	530	202
7	608	202
8	656	202
9	657	202

Iter	Nodes	Cost
0	6	18
0	9	18
1	13	18
2	21	18
3	52	18
4	94	18
5	180	18
6	295	18
7	457	18
8	610	18
9	720	18
10	740	18
0	740	16

Iter	Nodes	Cost
0	19	97
0	28	97
1	38	95
2	52	95
3	77	95
4	140	95
5	256	95
6	438	95
7	607	95
8	819	95
9	875	95
10	887	95
0	887	93

Iter	Nodes	Cost
0	7	18
0	9	17
1	18	17
2	34	17
3	56	17
4	93	17
5	150	17
6	324	17
7	490	17
8	641	17
9	737	17
10	796	17
11	807	17
0	807	17

Iter	Nodes	Cost
0	10	31
0	11	31
1	20	31
2	36	31
3	58	31
4	95	31
5	152	31
6	324	31
7	491	31
8	644	31
9	741	31
10	797	31
11	809	31
0	809	28

Iter	Nodes	Cost
0	53	202
1	83	202
2	104	202
3	131	202
4	206	202
5	379	202
6	530	202
7	608	202
8	656	202
9	657	202

start0.0ms (0%)

analyze0.0ms (0%)

sample836.0ms (19.7%)

explain120.0ms (2.8%)

preprocess80.0ms (1.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify20.0ms (0.5%)

localize21.0ms (0.5%)

series3.0ms (0.1%)

simplify118.0ms (2.8%)

rewrite215.0ms (5.1%)

eval84.0ms (2%)

prune6.0ms (0.1%)

simplify28.0ms (0.7%)

localize44.0ms (1%)

series15.0ms (0.3%)

simplify156.0ms (3.7%)

rewrite245.0ms (5.8%)

eval64.0ms (1.5%)

prune6.0ms (0.1%)

simplify23.0ms (0.6%)

localize23.0ms (0.5%)

series2.0ms (0.1%)

simplify126.0ms (3%)

rewrite301.0ms (7.1%)

eval10.0ms (0.2%)

prune3.0ms (0.1%)

simplify28.0ms (0.7%)

localize20.0ms (0.5%)

series2.0ms (0.1%)

simplify128.0ms (3%)

rewrite212.0ms (5%)

eval1.0ms (0%)

prune4.0ms (0.1%)

regimes11.0ms (0.3%)

regimes11.0ms (0.3%)

regimes147.0ms (3.5%)

regimes46.0ms (1.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch79.0ms (1.9%)

bsearch25.0ms (0.6%)

bsearch2.0ms (0.1%)

bsearch59.0ms (1.4%)

bsearch30.0ms (0.7%)

simplify27.0ms (0.6%)

derivations796.0ms (18.7%)

preprocess62.0ms (1.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
0	9	18
1	13	18
2	21	18
3	52	18
4	94	18
5	180	18
6	295	18
7	457	18
8	610	18
9	720	18
10	740	18
0	740	16

Iter	Nodes	Cost
0	19	97
0	28	97
1	38	95
2	52	95
3	77	95
4	140	95
5	256	95
6	438	95
7	607	95
8	819	95
9	875	95
10	887	95
0	887	93

Iter	Nodes	Cost
0	7	18
0	9	17
1	18	17
2	34	17
3	56	17
4	93	17
5	150	17
6	324	17
7	490	17
8	641	17
9	737	17
10	796	17
11	807	17
0	807	17

Iter	Nodes	Cost
0	10	31
0	11	31
1	20	31
2	36	31
3	58	31
4	95	31
5	152	31
6	324	31
7	491	31
8	644	31
9	741	31
10	797	31
11	809	31
0	809	28

Iter	Nodes	Cost
0	53	202
1	83	202
2	104	202
3	131	202
4	206	202
5	379	202
6	530	202
7	608	202
8	656	202
9	657	202