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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample938.0ms (17.4%)

Memory

-98.3MiB live, 796.5MiB allocated

Samples

662.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 489.0ms

ival-sub: 335.0ms (68.5% of total)

ival-add: 84.0ms (17.2% of total)

ival-mult: 56.0ms (11.5% of total)

ival-true: 6.0ms (1.2% of total)

exact: 5.0ms (1% of total)

ival-assert: 3.0ms (0.6% of total)

Bogosity

explain91.0ms (1.7%)

Memory

-15.8MiB live, 102.1MiB allocated

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

50.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sub: 17.0ms (70.8% of total)

ival-add: 3.0ms (12.5% of total)

ival-mult: 3.0ms (12.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess56.0ms (1.1%)

Memory

19.2MiB live, 56.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	39	39
2	123	37
3	509	35
4	1023	35
5	1335	35
6	1376	35
7	1380	35
0	6	7
0	9	7
1	15	7
2	27	7
3	58	7
4	109	7
5	191	7
6	354	7
7	562	7
8	636	7
9	641	7
0	641	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)
(fma.f64 y x (-.f64 y x))

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

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)

simplify29.0ms (0.5%)

Memory

-47.9MiB live, 22.9MiB allocated

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	27	18
3	58	18
4	109	18
5	191	18
6	354	18
7	562	18
8	636	18
9	641	18
0	641	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)
(fma.f64 y x (-.f64 y x))
(*.f64 (+.f64 x #s(literal 1 binary64)) y)
(fma.f64 y x y)
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
#s(literal 1 binary64)
y

localize18.0ms (0.3%)

Memory

-7.0MiB live, 31.4MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(+.f64 x #s(literal 1 binary64))
accuracy	0.0078125	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
accuracy	0.0078125	(*.f64 (+.f64 x #s(literal 1 binary64)) y)

Samples

12.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-mult: 3.0ms (47.4% of total)

ival-add: 2.0ms (31.6% of total)

ival-sub: 1.0ms (15.8% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

6.3MiB live, 6.3MiB allocated

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))
0.0ms	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))

simplify151.0ms (2.8%)

Memory

-13.7MiB live, 141.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	86
1	140	86
2	363	86
3	977	86
4	2460	86
5	3603	86
6	4363	86
7	5304	86
8	5830	86
9	6394	86
10	7437	86
0	8106	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)))
(-.f64 (fma.f64 y x y) x)
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))
(fma.f64 y x (neg.f64 x))
(* x (- (+ y (/ y x)) 1))
(-.f64 (fma.f64 y x y) x)
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))))
(fma.f64 y x (neg.f64 x))
(* -1 (* x (+ 1 (+ (* -1 y) (* -1 (/ y x))))))
(-.f64 (fma.f64 y x y) x)
(* y (+ 1 x))
(fma.f64 y x y)
(* -1 x)
(neg.f64 x)
(- (* y (+ 1 x)) x)
(-.f64 (fma.f64 y x y) x)
(* y (+ 1 (+ x (* -1 (/ x y)))))
(-.f64 (fma.f64 y x y) x)
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(-.f64 (fma.f64 y x y) x)

rewrite227.0ms (4.2%)

Memory

4.4MiB live, 200.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	38	15
2	269	15
3	3362	15
0	8495	13

Stop Event

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

Counts

3 → 328

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

eval36.0ms (0.7%)

Memory: 32.5MiB live, 32.5MiB allocated
Compiler: Compiled 7 658 to 1 056 computations (86.2% saved)

prune78.0ms (1.5%)

Memory

-24.5MiB live, 14.5MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	331	4	335
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	332	4	336

Accuracy

100.0%

Counts

336 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (fma.f64 y x y) x)
▶	78.8%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
▶	62.6%	#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
▶	41.6%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Compiler

Compiled 38 to 29 computations (23.7% saved)

simplify25.0ms (0.5%)

Memory

18.7MiB live, 18.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	71
0	22	71
1	39	69
2	64	69
3	98	69
4	186	69
5	371	69
6	554	69
7	643	69
8	649	69
9	651	69
0	651	69

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize128.0ms (2.4%)

Memory

-14.8MiB live, 31.2MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y x y)
accuracy	0.0078125	(-.f64 (fma.f64 y x y) x)
accuracy	0.0078125	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
accuracy	0.0078125	(*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y)
accuracy	31.35817265788738	#s(approx (+ x 1) #s(literal 1 binary64))
accuracy	0	(fma.f64 y x (neg.f64 x))
accuracy	0	(neg.f64 x)
accuracy	23.911137708494294	#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
accuracy	0	(neg.f64 x)
accuracy	37.34934719124158	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))

Samples

120.0ms

256×

valid

Compiler

Compiled 132 to 29 computations (78% saved)

Precisions

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

ival-add: 4.0ms (37.3% of total)

ival-mult: 3.0ms (28% of total)

ival-sub: 2.0ms (18.7% of total)

ival-neg: 1.0ms (9.3% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

9 → 24

Calls

Call 1

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

Outputs
y
(+ y (* x (- y 1)))
(* -1 x)
(* x (- y 1))
(+ y (* x y))
1
(+ 1 x)
(* x (- (+ y (/ y x)) 1))
(* x y)
(* 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 y) (* -1 (/ y x)))))
(- (* y (+ 1 x)) x)
(- (* x y) x)
(* y (+ 1 x))
(* y (+ 1 (+ x (* -1 (/ x y)))))
(* y (+ x (* -1 (/ x y))))
(* -1 (* y (+ (* -1 (+ 1 x)) (/ x y))))
(* -1 (* y (+ (* -1 x) (/ 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	((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (+ (* y x) (neg x)) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) (- (+ (* y x) y) x) (+ (* y x) y))
1.0ms	y	@	-inf	((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (+ (* y x) (neg x)) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) (- (+ (* y x) y) x) (+ (* y x) y))
1.0ms	x	@	-inf	((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (+ (* y x) (neg x)) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) (- (+ (* y x) y) x) (+ (* y x) y))
1.0ms	x	@	inf	((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (+ (* y x) (neg x)) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) (- (+ (* y x) y) x) (+ (* y x) y))
1.0ms	x	@	0	((- (* (+ x 1) y) x) (neg x) (- (* (+ x 1) y) x) (+ (* y x) (neg x)) (- (* (+ x 1) y) x) (* (+ x 1) y) (+ x 1) (- (+ (* y x) y) x) (+ (* y x) y))

simplify227.0ms (4.2%)

Memory

-8.1MiB live, 67.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	52	113
1	180	113
2	472	113
3	1136	113
4	2555	113
5	3668	113
6	4433	113
7	5377	113
8	5901	113
9	6467	113
10	7510	113
0	8003	101

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 22

Calls

Call 1

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

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

rewrite201.0ms (3.7%)

Memory

-6.6MiB live, 151.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	61
0	22	61
1	104	59
2	885	55
0	9356	54

Stop Event

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

Counts

9 → 455

Calls

Call 1

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

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

eval124.0ms (2.3%)

Memory: 5.8MiB live, 129.7MiB allocated
Compiler: Compiled 10 787 to 1 275 computations (88.2% saved)

prune45.0ms (0.8%)

Memory

-9.3MiB live, 29.1MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	481	2	483
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	481	6	487

Accuracy

100.0%

Counts

487 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (fma.f64 y x y) x)
✓	78.8%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
▶	58.3%	#s(approx (- (+ (* y x) y) x) (fma.f64 y x y))
✓	62.6%	#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
✓	41.6%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
▶	2.5%	#s(approx (- (* (+ x 1) y) x) x)

Compiler

Compiled 59 to 43 computations (27.1% saved)

simplify23.0ms (0.4%)

Memory

3.0MiB live, 38.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	27
0	13	27
1	24	26
2	41	26
3	61	26
4	112	26
5	221	26
6	387	26
7	523	26
8	543	26
9	544	26
0	544	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize27.0ms (0.5%)

Memory

2.6MiB live, 47.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y x y)
accuracy	26.714843537463498	#s(approx (- (+ (* y x) y) x) (fma.f64 y x y))
accuracy	62.39371002431602	#s(approx (- (* (+ x 1) y) x) x)

Samples

21.0ms

256×

valid

Compiler

Compiled 52 to 23 computations (55.8% saved)

Precisions

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

ival-add: 3.0ms (34.5% of total)

ival-mult: 3.0ms (34.5% of total)

ival-sub: 2.0ms (23% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

3 → 17

Calls

Call 1

Inputs
#s(approx (- (* (+ x 1) y) x) x)
#s(approx (- (+ (* y x) y) x) (fma.f64 y x y))
(fma.f64 y x 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 (+ 1 x)) (/ 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	((- (* (+ x 1) y) x) (- (+ (* y x) y) x) (+ (* y x) y))
0.0ms	y	@	inf	((- (* (+ x 1) y) x) (- (+ (* y x) y) x) (+ (* y x) y))
0.0ms	x	@	-inf	((- (* (+ x 1) y) x) (- (+ (* y x) y) x) (+ (* y x) y))
0.0ms	x	@	inf	((- (* (+ x 1) y) x) (- (+ (* y x) y) x) (+ (* y x) y))
0.0ms	y	@	0	((- (* (+ x 1) y) x) (- (+ (* y x) y) x) (+ (* y x) y))

simplify321.0ms (6%)

Memory

5.1MiB live, 236.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	90
1	152	90
2	428	90
3	1053	90
4	2518	90
5	3717	90
6	4626	90
7	5231	90
8	5548	90
9	5742	90
10	5837	90
11	5877	90
12	5897	90
13	5897	90
14	5915	90
15	5915	90
0	9062	78

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 16

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

rewrite185.0ms (3.4%)

Memory

10.7MiB live, 167.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	24
0	13	24
1	69	23
2	602	23
0	8017	23

Stop Event

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

Counts

3 → 98

Calls

Call 1

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

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

eval23.0ms (0.4%)

Memory: -17.7MiB live, 19.5MiB allocated
Compiler: Compiled 2 872 to 383 computations (86.7% saved)

prune3.0ms (0.1%)

Memory

7.8MiB live, 7.8MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	104	7	111

Accuracy

100.0%

Counts

111 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (fma.f64 y x y) x)
✓	78.8%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓	58.3%	#s(approx (- (+ (* y x) y) x) (fma.f64 y x y))
▶	22.2%	#s(approx (- (+ (* y x) y) x) #s(approx (+ (* y x) y) (*.f64 y x)))
✓	62.6%	#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
✓	41.6%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
✓	2.5%	#s(approx (- (* (+ x 1) y) x) x)

Compiler

Compiled 76 to 51 computations (32.9% saved)

simplify19.0ms (0.4%)

Memory

16.2MiB live, 16.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	31
0	9	31
1	15	31
2	29	31
3	52	31
4	96	31
5	192	31
6	380	31
7	505	31
8	545	31
9	555	31
0	555	28

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize67.0ms (1.2%)

Memory

-36.1MiB live, 19.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	26.714843537463498	#s(approx (- (+ (* y x) y) x) #s(approx (+ (* y x) y) (*.f64 y x)))
accuracy	31.7621310350594	#s(approx (+ (* y x) y) (*.f64 y x))

Samples

63.0ms

256×

valid

Compiler

Compiled 50 to 15 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

ival-add: 51.0ms (93.3% of total)

ival-mult: 2.0ms (3.7% of total)

ival-sub: 1.0ms (1.8% of total)

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

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

series2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Counts

3 → 16

Calls

Call 1

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

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

simplify259.0ms (4.8%)

Memory

-2.3MiB live, 194.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	83
1	131	83
2	350	83
3	969	83
4	2390	83
5	3406	83
6	4066	83
7	4811	83
8	5036	83
9	5186	83
10	6027	83
0	8667	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)

rewrite149.0ms (2.8%)

Memory

38.9MiB live, 260.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
0	9	29
1	40	29
2	341	29
3	5332	29
0	8310	26

Stop Event

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

Counts

3 → 6

Calls

Call 1

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

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

eval1.0ms (0%)

Memory: 4.3MiB live, 4.2MiB allocated
Compiler: Compiled 196 to 34 computations (82.7% saved)

prune4.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	12	0	12
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	12	7	19

Accuracy

100.0%

Counts

19 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (fma.f64 y x y) x)
✓	78.8%	(-.f64 (*.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x)
✓	58.3%	#s(approx (- (+ (* y x) y) x) (fma.f64 y x y))
✓	22.2%	#s(approx (- (+ (* y x) y) x) #s(approx (+ (* y x) y) (*.f64 y x)))
✓	62.6%	#s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))
✓	41.6%	#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
✓	2.5%	#s(approx (- (* (+ x 1) y) x) x)

Compiler

Compiled 159 to 78 computations (50.9% saved)

regimes44.0ms (0.8%)

Memory

-28.3MiB live, 33.8MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

3 calls:

37.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
3.0ms	y
3.0ms	x

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes34.0ms (0.6%)

Memory

-21.6MiB live, 16.3MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

3 calls:

28.0ms	y
3.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
3.0ms	x

Results

Accuracy	Segments	Branch
99.3%	3	`x`
97.6%	3	`y`
89.6%	3	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.1%)

Memory

10.1MiB live, 10.1MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
87.8%	3	`y`
90.5%	3	`x`

Compiler

Compiled 2 to 4 computations (-100% saved)

regimes7.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

4 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
86.9%	3	`y`
62.8%	3	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
72.2%	4	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes16.0ms (0.3%)

Memory

-24.2MiB live, 13.9MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

12.0ms	x
2.0ms	(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)
2.0ms	y

Results

Accuracy	Segments	Branch
52.1%	3	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
44.2%	2	`x`
60.3%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.1%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

2 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
41.6%	1	`x`
41.6%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
41.6%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes4.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
2.5%	1	`y`
2.5%	1	`(-.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) y) x)`
2.5%	1	`x`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch22.0ms (0.4%)

Memory

0.7MiB live, 38.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	0.0014007452580984104	18.62281723841359
11.0ms	-7.577803173306638e+39	-8.677851314127681e+36

Samples

11.0ms

256×

valid

Compiler

Compiled 362 to 315 computations (13% saved)

Precisions

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

ival-mult: 2.0ms (41.9% of total)

ival-sub: 1.0ms (20.9% of total)

ival-add: 1.0ms (20.9% of total)

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

exact: 0.0ms (0% of total)

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

bsearch26.0ms (0.5%)

Memory

-16.2MiB live, 61.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.4219714109605332e-33	2.5279801704434886e-32
15.0ms	-2.4357740802826515e-26	-7.88185658010627e-29

Samples

16.0ms	239×	0	valid
0.0ms	1×	1	valid

Compiler

Compiled 385 to 281 computations (27% saved)

Precisions

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

ival-add: 3.0ms (50.4% of total)

ival-mult: 2.0ms (33.6% of total)

ival-sub: 1.0ms (16.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

bsearch62.0ms (1.2%)

Memory

-3.3MiB live, 35.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
49.0ms	1.6843397086891775e-11	365.1801148115339
10.0ms	-1.5165751136498145e-37	-6.746684372726357e-47

Samples

12.0ms

304×

valid

Compiler

Compiled 428 to 334 computations (22% saved)

Precisions

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

ival-add: 2.0ms (35.5% of total)

ival-mult: 2.0ms (35.5% of total)

ival-sub: 1.0ms (17.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch21.0ms (0.4%)

Memory

15.5MiB live, 15.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	1.6843397086891775e-11	365.1801148115339
8.0ms	-12.290955944285802	-0.28395316506577434

Samples

10.0ms

256×

valid

Compiler

Compiled 469 to 317 computations (32.4% saved)

Precisions

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

ival-mult: 2.0ms (42.4% of total)

ival-sub: 1.0ms (21.2% of total)

ival-add: 1.0ms (21.2% of total)

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

exact: 0.0ms (0% of total)

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

simplify33.0ms (0.6%)

Memory

12.3MiB live, 50.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	208
1	54	208
2	58	208
3	59	208

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (fma.f64 y x y) x)
(if (<=.f64 x #s(literal -8800000000000000019124122676134674432 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x))) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (- ( (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))))
(if (<=.f64 x #s(literal -1181939495522123/11150372599265311570767859136324180752990208 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x))) (if (<=.f64 x #s(literal 4676805239458889/2923003274661805836407369665432566039311865085952 binary64)) #s(approx (- (+ (* y x) y) x) (fma.f64 y x y)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))))
(if (<=.f64 y #s(literal -1724057483474125/95780971304118053647396689196894323976171195136475136 binary64)) #s(approx (- (+ (* y x) y) x) (fma.f64 y x y)) (if (<=.f64 y #s(literal 7737125245533627/9671406556917033397649408 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (- (+ (* y x) y) x) (fma.f64 y x y))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- (+ (* y x) y) x) #s(approx (+ (* y x) y) (.f64 y x))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- ( (+ x 1) y) x) (neg.f64 x)) #s(approx (- (+ (* y x) y) x) #s(approx (+ (* y x) y) (*.f64 y x)))))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) x)

Outputs
(-.f64 (fma.f64 y x y) x)
(if (<=.f64 x #s(literal -8800000000000000019124122676134674432 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x))) (if (<=.f64 x #s(literal 1 binary64)) (-.f64 (.f64 #s(approx (+ x 1) #s(literal 1 binary64)) y) x) #s(approx (- ( (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))))
(if (<=.f64 x #s(literal -1181939495522123/11150372599265311570767859136324180752990208 binary64)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x))) (if (<=.f64 x #s(literal 4676805239458889/2923003274661805836407369665432566039311865085952 binary64)) #s(approx (- (+ (* y x) y) x) (fma.f64 y x y)) #s(approx (- (* (+ x 1) y) x) (fma.f64 y x (neg.f64 x)))))
(if (<=.f64 y #s(literal -1724057483474125/95780971304118053647396689196894323976171195136475136 binary64)) #s(approx (- (+ (* y x) y) x) (fma.f64 y x y)) (if (<=.f64 y #s(literal 7737125245533627/9671406556917033397649408 binary64)) #s(approx (- (* (+ x 1) y) x) (neg.f64 x)) #s(approx (- (+ (* y x) y) x) (fma.f64 y x y))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- (+ (* y x) y) x) #s(approx (+ (* y x) y) (.f64 y x))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (- ( (+ x 1) y) x) (neg.f64 x)) #s(approx (- (+ (* y x) y) x) #s(approx (+ (* y x) y) (*.f64 y x)))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (- (+ (* y x) y) x) #s(approx (+ (* y x) 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 (+ (* y x) y) (*.f64 x y)))))
#s(approx (- (* (+ x 1) y) x) (neg.f64 x))
#s(approx (- (* (+ x 1) y) x) x)

soundness1.5s (28.7%)

Memory

4.6MiB live, 567.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	38	15
2	269	15
3	3362	15
0	8495	13
0	41	86
1	140	86
2	363	86
3	977	86
4	2460	86
5	3603	86
6	4363	86
7	5304	86
8	5830	86
9	6394	86
10	7437	86
0	8106	76
0	45	90
1	152	90
2	428	90
3	1053	90
4	2518	90
5	3717	90
6	4626	90
7	5231	90
8	5548	90
9	5742	90
10	5837	90
11	5877	90
12	5897	90
13	5897	90
14	5915	90
15	5915	90
0	9062	78
0	52	113
1	180	113
2	472	113
3	1136	113
4	2555	113
5	3668	113
6	4433	113
7	5377	113
8	5901	113
9	6467	113
10	7510	113
0	8003	101
0	15	61
0	22	61
1	104	59
2	885	55
0	9356	54

Stop Event

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

Compiler

Compiled 305 to 122 computations (60% saved)

preprocess86.0ms (1.6%)

Memory: -22.8MiB live, 52.6MiB allocated
Compiler: Compiled 430 to 104 computations (75.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	27	18
3	58	18
4	109	18
5	191	18
6	354	18
7	562	18
8	636	18
9	641	18
0	641	16

Iter	Nodes	Cost
0	15	71
0	22	71
1	39	69
2	64	69
3	98	69
4	186	69
5	371	69
6	554	69
7	643	69
8	649	69
9	651	69
0	651	69

Iter	Nodes	Cost
0	12	27
0	13	27
1	24	26
2	41	26
3	61	26
4	112	26
5	221	26
6	387	26
7	523	26
8	543	26
9	544	26
0	544	26

Iter	Nodes	Cost
0	8	31
0	9	31
1	15	31
2	29	31
3	52	31
4	96	31
5	192	31
6	380	31
7	505	31
8	545	31
9	555	31
0	555	28

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	27	18
3	58	18
4	109	18
5	191	18
6	354	18
7	562	18
8	636	18
9	641	18
0	641	16

Iter	Nodes	Cost
0	15	71
0	22	71
1	39	69
2	64	69
3	98	69
4	186	69
5	371	69
6	554	69
7	643	69
8	649	69
9	651	69
0	651	69

Iter	Nodes	Cost
0	12	27
0	13	27
1	24	26
2	41	26
3	61	26
4	112	26
5	221	26
6	387	26
7	523	26
8	543	26
9	544	26
0	544	26

Iter	Nodes	Cost
0	8	31
0	9	31
1	15	31
2	29	31
3	52	31
4	96	31
5	192	31
6	380	31
7	505	31
8	545	31
9	555	31
0	555	28

start0.0ms (0%)

analyze0.0ms (0%)

sample938.0ms (17.4%)

explain91.0ms (1.7%)

preprocess56.0ms (1.1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify29.0ms (0.5%)

localize18.0ms (0.3%)

series3.0ms (0.1%)

simplify151.0ms (2.8%)

rewrite227.0ms (4.2%)

eval36.0ms (0.7%)

prune78.0ms (1.5%)

simplify25.0ms (0.5%)

localize128.0ms (2.4%)

series6.0ms (0.1%)

simplify227.0ms (4.2%)

rewrite201.0ms (3.7%)

eval124.0ms (2.3%)

prune45.0ms (0.8%)

simplify23.0ms (0.4%)

localize27.0ms (0.5%)

series3.0ms (0%)

simplify321.0ms (6%)

rewrite185.0ms (3.4%)

eval23.0ms (0.4%)

prune3.0ms (0.1%)

simplify19.0ms (0.4%)

localize67.0ms (1.2%)

series2.0ms (0%)

simplify259.0ms (4.8%)

rewrite149.0ms (2.8%)

eval1.0ms (0%)

prune4.0ms (0.1%)

regimes44.0ms (0.8%)

regimes34.0ms (0.6%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes16.0ms (0.3%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch22.0ms (0.4%)

bsearch26.0ms (0.5%)

bsearch62.0ms (1.2%)

bsearch21.0ms (0.4%)

simplify33.0ms (0.6%)

soundness1.5s (28.7%)

preprocess86.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
0	9	18
1	15	18
2	27	18
3	58	18
4	109	18
5	191	18
6	354	18
7	562	18
8	636	18
9	641	18
0	641	16

Iter	Nodes	Cost
0	15	71
0	22	71
1	39	69
2	64	69
3	98	69
4	186	69
5	371	69
6	554	69
7	643	69
8	649	69
9	651	69
0	651	69

Iter	Nodes	Cost
0	12	27
0	13	27
1	24	26
2	41	26
3	61	26
4	112	26
5	221	26
6	387	26
7	523	26
8	543	26
9	544	26
0	544	26

Iter	Nodes	Cost
0	8	31
0	9	31
1	15	31
2	29	31
3	52	31
4	96	31
5	192	31
6	380	31
7	505	31
8	545	31
9	555	31
0	555	28