Metrics for Statistics.Distribution.Binomial:$cvariance from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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)

sample976.0ms (18.4%)

Memory

29.1MiB live, 734.0MiB allocated

Samples

739.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 427.0ms

ival-mult: 323.0ms (75.7% of total)

ival-sub: 89.0ms (20.8% of total)

ival-true: 6.0ms (1.4% of total)

exact: 5.0ms (1.2% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain59.0ms (1.1%)

Memory

17.2MiB live, 110.6MiB allocated

FPErrors

Click to see full error table

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

23.0ms

512×

valid

Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 6.0ms (59.6% of total)

ival-sub: 3.0ms (29.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess23.0ms (0.4%)

Memory

-5.7MiB live, 44.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	43	39
2	129	39
3	279	39
4	338	39
5	351	39
6	364	39
0	6	7
0	9	7
1	15	7
2	22	7
3	24	7
0	24	7

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify15.0ms (0.3%)

Memory

-29.0MiB live, 8.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	15	16
2	22	16
3	24	16
0	24	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize17.0ms (0.3%)

Memory

45.7MiB live, 45.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0	(*.f64 x y)
accuracy	0.0625	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Samples

12.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-mult: 3.0ms (58.6% of total)

ival-sub: 1.0ms (19.5% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.5%)

Memory

-11.4MiB live, 23.4MiB allocated

Counts

3 → 10

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	((* (* x y) (- 1 y)) (* x y) (- 1 y))
2.0ms	y	@	inf	((* (* x y) (- 1 y)) (* x y) (- 1 y))
1.0ms	x	@	-inf	((* (* x y) (- 1 y)) (* x y) (- 1 y))
1.0ms	y	@	-inf	((* (* x y) (- 1 y)) (* x y) (- 1 y))
1.0ms	x	@	inf	((* (* x y) (- 1 y)) (* x y) (- 1 y))

simplify473.0ms (8.9%)

Memory

-88.4MiB live, 118.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	45
1	71	42
2	153	42
3	440	42
4	1358	42
5	3788	42
6	5687	42
7	6854	42
8	7772	42
0	8095	42

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 10

Calls

Call 1

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

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

rewrite215.0ms (4%)

Memory

-29.8MiB live, 295.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	29	13
2	139	13
3	1024	13
0	9488	12

Stop Event

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

Counts

3 → 400

Calls

Call 1

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

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

eval52.0ms (1%)

Memory: 3.1MiB live, 101.7MiB allocated
Compiler: Compiled 10 979 to 1 043 computations (90.5% saved)

prune9.0ms (0.2%)

Memory

33.0MiB live, 33.0MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	399	7	406
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	399	8	407

Accuracy

100.0%

Counts

407 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 y x (.f64 (.f64 y x) (neg.f64 y)))
	89.3%	(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) y) x) (-.f64 #s(literal -1 binary64) y))
▶	99.9%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
	64.0%	(.f64 (.f64 x y) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))))
▶	62.7%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
▶	56.9%	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
▶	59.1%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))

Compiler

Compiled 171 to 126 computations (26.3% saved)

simplify29.0ms (0.5%)

Memory

-26.5MiB live, 20.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
cost-diff	0	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- 1 y) (neg.f64 y))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	(.f64 (.f64 (neg.f64 y) y) x)
cost-diff	0	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))
cost-diff	0	#s(approx (- 1 y) #s(literal 1 binary64))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 (.f64 y x) (neg.f64 y))
cost-diff	2	(fma.f64 y x (.f64 (.f64 y x) (neg.f64 y)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	111
0	33	113
1	68	111
2	133	109
3	210	109
4	383	109
5	650	109
6	966	109
7	1359	109
8	1496	109
9	1516	109
10	1516	109
0	1516	109

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize47.0ms (0.9%)

Memory

5.2MiB live, 102.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy	0.0625	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
accuracy	0.0	(*.f64 x y)
accuracy	0.0	(neg.f64 y)
accuracy	0.0625	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
accuracy	30.824763356313085	#s(approx (- 1 y) (neg.f64 y))
accuracy	0.0	(*.f64 (neg.f64 y) y)
accuracy	0.0	(neg.f64 y)
accuracy	6.596806672562557	(.f64 (.f64 (neg.f64 y) y) x)
accuracy	23.79521534746646	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))
accuracy	0.0	(*.f64 x y)
accuracy	0.0625	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
accuracy	31.90903918269606	#s(approx (- 1 y) #s(literal 1 binary64))
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(neg.f64 y)
accuracy	0.00390625	(fma.f64 y x (.f64 (.f64 y x) (neg.f64 y)))
accuracy	0.09765625	(.f64 (.f64 y x) (neg.f64 y))

Samples

35.0ms

256×

valid

Compiler

Compiled 97 to 16 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 13.0ms (69.8% of total)

ival-sub: 1.0ms (5.4% of total)

ival-true: 1.0ms (5.4% of total)

ival-add: 1.0ms (5.4% of total)

ival-neg: 1.0ms (5.4% of total)

exact: 0.0ms (0% of total)

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

series13.0ms (0.2%)

Memory

-16.5MiB live, 29.7MiB allocated

Counts

15 → 19

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	y	@	-inf	((+ (* y x) (* (* y x) (neg y))) (* (* y x) (neg y)) (* y x) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (* (* x y) (- 1 y)) (- 1 y) (* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y))
3.0ms	y	@	0	((+ (* y x) (* (* y x) (neg y))) (* (* y x) (neg y)) (* y x) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (* (* x y) (- 1 y)) (- 1 y) (* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y))
2.0ms	x	@	0	((+ (* y x) (* (* y x) (neg y))) (* (* y x) (neg y)) (* y x) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (* (* x y) (- 1 y)) (- 1 y) (* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y))
2.0ms	x	@	-inf	((+ (* y x) (* (* y x) (neg y))) (* (* y x) (neg y)) (* y x) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (* (* x y) (- 1 y)) (- 1 y) (* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y))
2.0ms	x	@	inf	((+ (* y x) (* (* y x) (neg y))) (* (* y x) (neg y)) (* y x) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (* (* x y) (- 1 y)) (- 1 y) (* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y))

simplify86.0ms (1.6%)

Memory

21.9MiB live, 114.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	93
1	127	85
2	294	85
3	875	85
4	1937	85
5	3733	85
6	5555	85
7	6719	85
8	7604	85
0	8061	85

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 18

Calls

Call 1

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

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

rewrite204.0ms (3.8%)

Memory

19.8MiB live, 254.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	92
0	33	94
1	93	92
2	457	90
3	4298	87
0	9004	84

Stop Event

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

Counts

15 → 946

Calls

Call 1

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

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

eval64.0ms (1.2%)

Memory: -13.2MiB live, 123.3MiB allocated
Compiler: Compiled 9 072 to 1 241 computations (86.3% saved)

prune15.0ms (0.3%)

Memory

-11.2MiB live, 42.6MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	550	0	550
Fresh	0	2	2
Picked	0	5	5
Done	0	1	1
Total	550	8	558

Accuracy

100.0%

Counts

558 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y x (.f64 (.f64 y x) (neg.f64 y)))
▶	89.3%	(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) y) x) (-.f64 #s(literal -1 binary64) y))
✓	99.9%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
▶	64.0%	(.f64 (.f64 x y) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))))
✓	62.7%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓	56.9%	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
✓	59.1%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))

Compiler

Compiled 89 to 66 computations (25.8% saved)

simplify168.0ms (3.2%)

Memory

29.8MiB live, 203.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y y #s(literal -1 binary64))
cost-diff	0	(.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) y) x)
cost-diff	0	(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) y) x) (-.f64 #s(literal -1 binary64) y))
cost-diff	1	(*.f64 (fma.f64 y y #s(literal -1 binary64)) y)
cost-diff	0	(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))
cost-diff	0	(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64)))
cost-diff	0	(*.f64 x y)
cost-diff	1	(.f64 (.f64 x y) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	113
0	31	113
1	70	113
2	281	113
3	1625	109
4	6924	109
0	8285	109

Stop Event

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

Calls

Call 1

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

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

localize56.0ms (1.1%)

Memory

-11.8MiB live, 80.3MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal -1 binary64) y)
accuracy	0.046875	(*.f64 (fma.f64 y y #s(literal -1 binary64)) y)
accuracy	2.1416712417472197	(.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) y) x)
accuracy	4.652293933148912	(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) y) x) (-.f64 #s(literal -1 binary64) y))
accuracy	0.0	(*.f64 x y)
accuracy	0.05859375	(.f64 (.f64 x y) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))))
accuracy	14.652155261242845	(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64)))
accuracy	21.76790984339633	(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))

Samples

41.0ms

256×

valid

Compiler

Compiled 126 to 21 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 11.0ms (38.5% of total)

ival-pow: 8.0ms (28% of total)

ival-add: 4.0ms (14% of total)

ival-div: 3.0ms (10.5% of total)

ival-sub: 1.0ms (3.5% of total)

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

exact: 0.0ms (0% of total)

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

series20.0ms (0.4%)

Memory

30.7MiB live, 30.7MiB allocated

Counts

9 → 48

Calls

Call 1

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

Outputs
(/ (* x (* y (* (+ 1 (* -1 (* y (+ 1 y)))) (- (pow y 2) 1)))) (- (pow y 3) 1))
(* x y)
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* x (* y (- (pow y 2) 1)))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (+ (* -2 (* x y)) (* -1 x)))))
(* y (+ x (* y (+ (* -1 x) (* y (+ (* -2 x) (* y (- x (* -1 x)))))))))
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* -2 y) 1)))
(+ 1 (* y (- (* y (- (* 2 y) 2)) 1)))
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- y 1)))
(+ 1 (* (pow y 2) (- (* y (+ 1 (* -1 (pow y 2)))) 1)))
(* -1 y)
(* y (- (pow y 2) 1))
(* -1 (* x y))
(* y (+ (* -1 x) (* x (pow y 2))))
-1
(- (pow y 2) 1)
(- (* -1 y) 1)
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* (pow y 2) (+ (* -1 x) (+ (* -1 (/ x y)) (* 2 (/ x (pow y 2))))))
(* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 4))) (* 2 (/ x (pow y 2)))))) (/ x (pow y 4))))
(* -1 (* y (+ 1 (/ 1 y))))
(* y (- (/ 2 (pow y 2)) (+ 1 (/ 1 y))))
(* y (- (/ 2 (pow y 2)) (+ 1 (+ (/ 1 y) (* 2 (/ 1 (pow y 4)))))))
(/ 1 y)
(/ (- 1 (/ 1 (pow y 2))) y)
(/ (- (+ 1 (/ 1 (pow y 3))) (/ 1 (pow y 2))) y)
(/ (- (+ 1 (/ 1 (pow y 3))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 5)))) y)
(pow y 3)
(* (pow y 3) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* x (pow y 3))
(* (pow y 3) (+ x (* -1 (/ x (pow y 2)))))
(pow y 2)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -2 (/ x y))) y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (/ x (pow y 2))) (* 2 x)) (/ x (pow y 2))) y))) y))))
(* -1 (* y (+ 1 (* -1 (/ (- (* 2 (/ 1 y)) 1) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 (pow y 2))) 2) y)) 1) y)))))
(* -1 (/ (- (/ 1 (pow y 2)) 1) y))
(* -1 (/ (- (/ 1 (pow y 2)) (+ 1 (/ 1 (pow y 3)))) y))
(* -1 (/ (- (+ (* -1 (/ (- 1 (/ 1 (pow y 2))) (pow y 3))) (/ 1 (pow y 2))) 1) y))
(* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1)))
(* -1 (* (pow y 3) (+ (* -1 x) (/ x (pow y 2)))))

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	y	@	inf	((* (* x y) (* (/ (+ (* y y) -1) (+ -1 (pow y 3))) (+ (* (- -1 y) y) 1))) (* x y) (* (/ (+ (* y y) -1) (+ -1 (pow y 3))) (+ (* (- -1 y) y) 1)) (/ (+ (* y y) -1) (+ -1 (pow y 3))) (* (+ (* y y) -1) y) (/ (* (* (+ (* y y) -1) y) x) (- -1 y)) (* (* (+ (* y y) -1) y) x) (+ (* y y) -1) (- -1 y))
4.0ms	x	@	0	((* (* x y) (* (/ (+ (* y y) -1) (+ -1 (pow y 3))) (+ (* (- -1 y) y) 1))) (* x y) (* (/ (+ (* y y) -1) (+ -1 (pow y 3))) (+ (* (- -1 y) y) 1)) (/ (+ (* y y) -1) (+ -1 (pow y 3))) (* (+ (* y y) -1) y) (/ (* (* (+ (* y y) -1) y) x) (- -1 y)) (* (* (+ (* y y) -1) y) x) (+ (* y y) -1) (- -1 y))
3.0ms	x	@	-inf	((* (* x y) (* (/ (+ (* y y) -1) (+ -1 (pow y 3))) (+ (* (- -1 y) y) 1))) (* x y) (* (/ (+ (* y y) -1) (+ -1 (pow y 3))) (+ (* (- -1 y) y) 1)) (/ (+ (* y y) -1) (+ -1 (pow y 3))) (* (+ (* y y) -1) y) (/ (* (* (+ (* y y) -1) y) x) (- -1 y)) (* (* (+ (* y y) -1) y) x) (+ (* y y) -1) (- -1 y))
3.0ms	x	@	inf	((* (* x y) (* (/ (+ (* y y) -1) (+ -1 (pow y 3))) (+ (* (- -1 y) y) 1))) (* x y) (* (/ (+ (* y y) -1) (+ -1 (pow y 3))) (+ (* (- -1 y) y) 1)) (/ (+ (* y y) -1) (+ -1 (pow y 3))) (* (+ (* y y) -1) y) (/ (* (* (+ (* y y) -1) y) x) (- -1 y)) (* (* (+ (* y y) -1) y) x) (+ (* y y) -1) (- -1 y))
2.0ms	y	@	-inf	((* (* x y) (* (/ (+ (* y y) -1) (+ -1 (pow y 3))) (+ (* (- -1 y) y) 1))) (* x y) (* (/ (+ (* y y) -1) (+ -1 (pow y 3))) (+ (* (- -1 y) y) 1)) (/ (+ (* y y) -1) (+ -1 (pow y 3))) (* (+ (* y y) -1) y) (/ (* (* (+ (* y y) -1) y) x) (- -1 y)) (* (* (+ (* y y) -1) y) x) (+ (* y y) -1) (- -1 y))

simplify181.0ms (3.4%)

Memory

-14.9MiB live, 209.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	170	538
1	566	508
2	1919	487
3	6622	486
0	8152	471

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
(/ (* x (* y (* (+ 1 (* -1 (* y (+ 1 y)))) (- (pow y 2) 1)))) (- (pow y 3) 1))
(* x y)
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* x (* y (- (pow y 2) 1)))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (+ (* -2 (* x y)) (* -1 x)))))
(* y (+ x (* y (+ (* -1 x) (* y (+ (* -2 x) (* y (- x (* -1 x)))))))))
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* -2 y) 1)))
(+ 1 (* y (- (* y (- (* 2 y) 2)) 1)))
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- y 1)))
(+ 1 (* (pow y 2) (- (* y (+ 1 (* -1 (pow y 2)))) 1)))
(* -1 y)
(* y (- (pow y 2) 1))
(* -1 (* x y))
(* y (+ (* -1 x) (* x (pow y 2))))
-1
(- (pow y 2) 1)
(- (* -1 y) 1)
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* (pow y 2) (+ (* -1 x) (+ (* -1 (/ x y)) (* 2 (/ x (pow y 2))))))
(* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 4))) (* 2 (/ x (pow y 2)))))) (/ x (pow y 4))))
(* -1 (* y (+ 1 (/ 1 y))))
(* y (- (/ 2 (pow y 2)) (+ 1 (/ 1 y))))
(* y (- (/ 2 (pow y 2)) (+ 1 (+ (/ 1 y) (* 2 (/ 1 (pow y 4)))))))
(/ 1 y)
(/ (- 1 (/ 1 (pow y 2))) y)
(/ (- (+ 1 (/ 1 (pow y 3))) (/ 1 (pow y 2))) y)
(/ (- (+ 1 (/ 1 (pow y 3))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 5)))) y)
(pow y 3)
(* (pow y 3) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* x (pow y 3))
(* (pow y 3) (+ x (* -1 (/ x (pow y 2)))))
(pow y 2)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -2 (/ x y))) y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (/ x (pow y 2))) (* 2 x)) (/ x (pow y 2))) y))) y))))
(* -1 (* y (+ 1 (* -1 (/ (- (* 2 (/ 1 y)) 1) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 (pow y 2))) 2) y)) 1) y)))))
(* -1 (/ (- (/ 1 (pow y 2)) 1) y))
(* -1 (/ (- (/ 1 (pow y 2)) (+ 1 (/ 1 (pow y 3)))) y))
(* -1 (/ (- (+ (* -1 (/ (- 1 (/ 1 (pow y 2))) (pow y 3))) (/ 1 (pow y 2))) 1) y))
(* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1)))
(* -1 (* (pow y 3) (+ (* -1 x) (/ x (pow y 2)))))

Outputs
(/ (* x (* y (* (+ 1 (* -1 (* y (+ 1 y)))) (- (pow y 2) 1)))) (- (pow y 3) 1))
(.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) y) (fma.f64 y y #s(literal -1 binary64))))
(* x y)
(*.f64 y x)
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(* x (* y (- (pow y 2) 1)))
(.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) y) x)
(* y (+ x (* -1 (* x y))))
(.f64 (-.f64 x (.f64 y x)) y)
(* y (+ x (* y (+ (* -2 (* x y)) (* -1 x)))))
(.f64 (fma.f64 (.f64 x (fma.f64 #s(literal -2 binary64) y #s(literal -1 binary64))) y x) y)
(* y (+ x (* y (+ (* -1 x) (* y (+ (* -2 x) (* y (- x (* -1 x)))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) y (neg.f64 x)) y x) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* -2 y) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (* 2 y) 2)) 1)))
(fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* y (+ 1 (* -1 (pow y 2)))) 1)))
(fma.f64 (-.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* -1 y)
(neg.f64 y)
(* y (- (pow y 2) 1))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) y)
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (+ (* -1 x) (* x (pow y 2))))
(.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) y) x)
-1
#s(literal -1 binary64)
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(- (* -1 y) 1)
(-.f64 #s(literal -1 binary64) y)
(* -1 (* x (pow y 2)))
(.f64 (neg.f64 y) (.f64 y x))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(neg.f64 (fma.f64 (.f64 y x) y (.f64 y x)))
(* (pow y 2) (+ (* -1 x) (+ (* -1 (/ x y)) (* 2 (/ x (pow y 2))))))
(.f64 (+.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) x) y) x) (.f64 (neg.f64 y) y))
(* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 4))) (* 2 (/ x (pow y 2)))))) (/ x (pow y 4))))
(.f64 (fma.f64 (+.f64 (/.f64 x y) x) #s(literal -1 binary64) (-.f64 (.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 4 binary64))))) (.f64 y y))
(* -1 (* y (+ 1 (/ 1 y))))
(-.f64 #s(literal -1 binary64) y)
(* y (- (/ 2 (pow y 2)) (+ 1 (/ 1 y))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) y) #s(literal 1 binary64)) y)
(* y (- (/ 2 (pow y 2)) (+ 1 (+ (/ 1 y) (* 2 (/ 1 (pow y 4)))))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 4 binary64))))) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- 1 (/ 1 (pow y 2))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y)
(/ (- (+ 1 (/ 1 (pow y 3))) (/ 1 (pow y 2))) y)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
(/ (- (+ 1 (/ 1 (pow y 3))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 5)))) y)
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) y)
(pow y 3)
(pow.f64 y #s(literal 3 binary64))
(* (pow y 3) (- 1 (/ 1 (pow y 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (pow.f64 y #s(literal 3 binary64)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
(* (pow y 3) (+ x (* -1 (/ x (pow y 2)))))
(.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) y) x)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y) y)
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -2 (/ x y))) y))))
(.f64 (+.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) x) y) x) (.f64 (neg.f64 y) y))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (/ x (pow y 2))) (* 2 x)) (/ x (pow y 2))) y))) y))))
(.f64 (+.f64 (/.f64 (-.f64 x (/.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64) (.f64 #s(literal 2 binary64) x)) y)) y) x) (*.f64 (neg.f64 y) y))
(* -1 (* y (+ 1 (* -1 (/ (- (* 2 (/ 1 y)) 1) y)))))
(neg.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64) y))
(* -1 (* y (+ 1 (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 (pow y 2))) 2) y)) 1) y)))))
(neg.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 2 binary64)) (neg.f64 y)) #s(literal 1 binary64))) #s(literal 1 binary64) y))
(* -1 (/ (- (/ 1 (pow y 2)) 1) y))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (/ (- (/ 1 (pow y 2)) (+ 1 (/ 1 (pow y 3)))) y))
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 y))
(* -1 (/ (- (+ (* -1 (/ (- 1 (/ 1 (pow y 2))) (pow y 3))) (/ 1 (pow y 2))) 1) y))
(/.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)))
(* -1 (* (pow y 3) (+ (* -1 x) (/ x (pow y 2)))))
(.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) y) x)

rewrite470.0ms (8.8%)

Memory

-3.7MiB live, 343.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	84
0	31	93
1	127	93
2	1016	63
0	9422	61

Stop Event

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

Counts

9 → 992

Calls

Call 1

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

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

eval159.0ms (3%)

Memory: 2.9MiB live, 281.2MiB allocated
Compiler: Compiled 29 497 to 3 078 computations (89.6% saved)

prune15.0ms (0.3%)

Memory

13.5MiB live, 59.8MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	974	2	976
Fresh	0	0	0
Picked	2	0	2
Done	0	6	6
Total	976	8	984

Accuracy

100.0%

Counts

984 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y x (.f64 (.f64 y x) (neg.f64 y)))
▶	52.3%	(/.f64 (.f64 (.f64 #s(approx (+ (* y y) -1) (*.f64 y y)) y) x) (-.f64 #s(literal -1 binary64) y))
✓	99.9%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
▶	27.7%	(.f64 (.f64 x y) (.f64 (/.f64 #s(approx (+ ( y y) -1) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))))
✓	62.7%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓	56.9%	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
✓	59.1%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))

Compiler

Compiled 99 to 74 computations (25.3% saved)

simplify179.0ms (3.4%)

Memory

-2.7MiB live, 189.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (+ (* y y) -1) (*.f64 y y))
cost-diff	0	(.f64 #s(approx (+ ( y y) -1) (*.f64 y y)) y)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* y y) -1) (*.f64 y y)) y) x)
cost-diff	0	(/.f64 (.f64 (.f64 #s(approx (+ (* y y) -1) (*.f64 y y)) y) x) (-.f64 #s(literal -1 binary64) y))
cost-diff	0	(/.f64 #s(approx (+ (* y y) -1) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))
cost-diff	0	(.f64 (/.f64 #s(approx (+ ( y y) -1) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) (.f64 (/.f64 #s(approx (+ ( y y) -1) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	159
0	33	159
1	69	159
2	233	159
3	741	159
4	2110	159
5	5175	159
0	8088	151

Stop Event

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

Calls

Call 1

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

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

localize54.0ms (1%)

Memory

14.5MiB live, 104.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.046875	(.f64 #s(approx (+ ( y y) -1) (*.f64 y y)) y)
accuracy	2.1416712417472197	(.f64 (.f64 #s(approx (+ (* y y) -1) (*.f64 y y)) y) x)
accuracy	4.652293933148912	(/.f64 (.f64 (.f64 #s(approx (+ (* y y) -1) (*.f64 y y)) y) x) (-.f64 #s(literal -1 binary64) y))
accuracy	30.852243040067727	#s(approx (+ (* y y) -1) (*.f64 y y))
accuracy	0.05859375	(.f64 (.f64 x y) (.f64 (/.f64 #s(approx (+ ( y y) -1) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))))
accuracy	14.652155261242845	(.f64 (/.f64 #s(approx (+ ( y y) -1) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64)))
accuracy	21.76790984339633	(/.f64 #s(approx (+ (* y y) -1) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))
accuracy	30.852243040067727	#s(approx (+ (* y y) -1) (*.f64 y y))

Samples

42.0ms

256×

valid

Compiler

Compiled 132 to 21 computations (84.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 10.0ms (38.9% of total)

ival-div: 5.0ms (19.4% of total)

ival-add: 4.0ms (15.5% of total)

ival-pow: 4.0ms (15.5% of total)

ival-sub: 1.0ms (3.9% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.3%)

Memory

-32.1MiB live, 27.4MiB allocated

Counts

8 → 47

Calls

Call 1

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

Outputs
(/ (* x (* y (* (+ 1 (* -1 (* y (+ 1 y)))) (- (pow y 2) 1)))) (- (pow y 3) 1))
(* x y)
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* x (* y (- (pow y 2) 1)))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (+ (* -2 (* x y)) (* -1 x)))))
(* y (+ x (* y (+ (* -1 x) (* y (+ (* -2 x) (* y (- x (* -1 x)))))))))
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* -2 y) 1)))
(+ 1 (* y (- (* y (- (* 2 y) 2)) 1)))
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- y 1)))
(+ 1 (* (pow y 2) (- (* y (+ 1 (* -1 (pow y 2)))) 1)))
(* -1 (* x y))
(* y (+ (* -1 x) (* x (pow y 2))))
(* -1 y)
(* y (- (pow y 2) 1))
-1
(- (pow y 2) 1)
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* (pow y 2) (+ (* -1 x) (+ (* -1 (/ x y)) (* 2 (/ x (pow y 2))))))
(* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 4))) (* 2 (/ x (pow y 2)))))) (/ x (pow y 4))))
(* -1 (* y (+ 1 (/ 1 y))))
(* y (- (/ 2 (pow y 2)) (+ 1 (/ 1 y))))
(* y (- (/ 2 (pow y 2)) (+ 1 (+ (/ 1 y) (* 2 (/ 1 (pow y 4)))))))
(/ 1 y)
(/ (- 1 (/ 1 (pow y 2))) y)
(/ (- (+ 1 (/ 1 (pow y 3))) (/ 1 (pow y 2))) y)
(/ (- (+ 1 (/ 1 (pow y 3))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 5)))) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* x (pow y 3))
(* (pow y 3) (+ x (* -1 (/ x (pow y 2)))))
(pow y 3)
(* (pow y 3) (- 1 (/ 1 (pow y 2))))
(pow y 2)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -2 (/ x y))) y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (/ x (pow y 2))) (* 2 x)) (/ x (pow y 2))) y))) y))))
(* -1 (* y (+ 1 (* -1 (/ (- (* 2 (/ 1 y)) 1) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 (pow y 2))) 2) y)) 1) y)))))
(* -1 (/ (- (/ 1 (pow y 2)) 1) y))
(* -1 (/ (- (/ 1 (pow y 2)) (+ 1 (/ 1 (pow y 3)))) y))
(* -1 (/ (- (+ (* -1 (/ (- 1 (/ 1 (pow y 2))) (pow y 3))) (/ 1 (pow y 2))) 1) y))
(* -1 (* (pow y 3) (+ (* -1 x) (/ x (pow y 2)))))
(* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1)))

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((* (* x y) (* (/ (+ (* y y) -1) (+ -1 (pow y 3))) (+ (* (- -1 y) y) 1))) (* x y) (* (/ (+ (* y y) -1) (+ -1 (pow y 3))) (+ (* (- -1 y) y) 1)) (/ (+ (* y y) -1) (+ -1 (pow y 3))) (/ (* (* (+ (* y y) -1) y) x) (- -1 y)) (* (* (+ (* y y) -1) y) x) (* (+ (* y y) -1) y) (+ (* y y) -1))
2.0ms	x	@	inf	((* (* x y) (* (/ (+ (* y y) -1) (+ -1 (pow y 3))) (+ (* (- -1 y) y) 1))) (* x y) (* (/ (+ (* y y) -1) (+ -1 (pow y 3))) (+ (* (- -1 y) y) 1)) (/ (+ (* y y) -1) (+ -1 (pow y 3))) (/ (* (* (+ (* y y) -1) y) x) (- -1 y)) (* (* (+ (* y y) -1) y) x) (* (+ (* y y) -1) y) (+ (* y y) -1))
2.0ms	x	@	0	((* (* x y) (* (/ (+ (* y y) -1) (+ -1 (pow y 3))) (+ (* (- -1 y) y) 1))) (* x y) (* (/ (+ (* y y) -1) (+ -1 (pow y 3))) (+ (* (- -1 y) y) 1)) (/ (+ (* y y) -1) (+ -1 (pow y 3))) (/ (* (* (+ (* y y) -1) y) x) (- -1 y)) (* (* (+ (* y y) -1) y) x) (* (+ (* y y) -1) y) (+ (* y y) -1))
1.0ms	y	@	-inf	((* (* x y) (* (/ (+ (* y y) -1) (+ -1 (pow y 3))) (+ (* (- -1 y) y) 1))) (* x y) (* (/ (+ (* y y) -1) (+ -1 (pow y 3))) (+ (* (- -1 y) y) 1)) (/ (+ (* y y) -1) (+ -1 (pow y 3))) (/ (* (* (+ (* y y) -1) y) x) (- -1 y)) (* (* (+ (* y y) -1) y) x) (* (+ (* y y) -1) y) (+ (* y y) -1))
1.0ms	y	@	inf	((* (* x y) (* (/ (+ (* y y) -1) (+ -1 (pow y 3))) (+ (* (- -1 y) y) 1))) (* x y) (* (/ (+ (* y y) -1) (+ -1 (pow y 3))) (+ (* (- -1 y) y) 1)) (/ (+ (* y y) -1) (+ -1 (pow y 3))) (/ (* (* (+ (* y y) -1) y) x) (- -1 y)) (* (* (+ (* y y) -1) y) x) (* (+ (* y y) -1) y) (+ (* y y) -1))

simplify338.0ms (6.4%)

Memory

19.5MiB live, 252.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	538
1	564	504
2	1919	484
3	6620	483
0	8153	468

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 47

Calls

Call 1

Inputs
(/ (* x (* y (* (+ 1 (* -1 (* y (+ 1 y)))) (- (pow y 2) 1)))) (- (pow y 3) 1))
(* x y)
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(* x (* y (- (pow y 2) 1)))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* y (+ (* -2 (* x y)) (* -1 x)))))
(* y (+ x (* y (+ (* -1 x) (* y (+ (* -2 x) (* y (- x (* -1 x)))))))))
1
(+ 1 (* -1 y))
(+ 1 (* y (- (* -2 y) 1)))
(+ 1 (* y (- (* y (- (* 2 y) 2)) 1)))
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- y 1)))
(+ 1 (* (pow y 2) (- (* y (+ 1 (* -1 (pow y 2)))) 1)))
(* -1 (* x y))
(* y (+ (* -1 x) (* x (pow y 2))))
(* -1 y)
(* y (- (pow y 2) 1))
-1
(- (pow y 2) 1)
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(* (pow y 2) (+ (* -1 x) (+ (* -1 (/ x y)) (* 2 (/ x (pow y 2))))))
(* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 4))) (* 2 (/ x (pow y 2)))))) (/ x (pow y 4))))
(* -1 (* y (+ 1 (/ 1 y))))
(* y (- (/ 2 (pow y 2)) (+ 1 (/ 1 y))))
(* y (- (/ 2 (pow y 2)) (+ 1 (+ (/ 1 y) (* 2 (/ 1 (pow y 4)))))))
(/ 1 y)
(/ (- 1 (/ 1 (pow y 2))) y)
(/ (- (+ 1 (/ 1 (pow y 3))) (/ 1 (pow y 2))) y)
(/ (- (+ 1 (/ 1 (pow y 3))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 5)))) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* x (pow y 3))
(* (pow y 3) (+ x (* -1 (/ x (pow y 2)))))
(pow y 3)
(* (pow y 3) (- 1 (/ 1 (pow y 2))))
(pow y 2)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -2 (/ x y))) y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (/ x (pow y 2))) (* 2 x)) (/ x (pow y 2))) y))) y))))
(* -1 (* y (+ 1 (* -1 (/ (- (* 2 (/ 1 y)) 1) y)))))
(* -1 (* y (+ 1 (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 (pow y 2))) 2) y)) 1) y)))))
(* -1 (/ (- (/ 1 (pow y 2)) 1) y))
(* -1 (/ (- (/ 1 (pow y 2)) (+ 1 (/ 1 (pow y 3)))) y))
(* -1 (/ (- (+ (* -1 (/ (- 1 (/ 1 (pow y 2))) (pow y 3))) (/ 1 (pow y 2))) 1) y))
(* -1 (* (pow y 3) (+ (* -1 x) (/ x (pow y 2)))))
(* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1)))

Outputs
(/ (* x (* y (* (+ 1 (* -1 (* y (+ 1 y)))) (- (pow y 2) 1)))) (- (pow y 3) 1))
(.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) y) (fma.f64 y y #s(literal -1 binary64))))
(* x y)
(*.f64 y x)
(* -1 (/ (* x (* y (- (pow y 2) 1))) (+ 1 y)))
(.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)))
(* x (* y (- (pow y 2) 1)))
(.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) y) x)
(* y (+ x (* -1 (* x y))))
(.f64 (-.f64 x (.f64 y x)) y)
(* y (+ x (* y (+ (* -2 (* x y)) (* -1 x)))))
(.f64 (fma.f64 (.f64 x (fma.f64 #s(literal -2 binary64) y #s(literal -1 binary64))) y x) y)
(* y (+ x (* y (+ (* -1 x) (* y (+ (* -2 x) (* y (- x (* -1 x)))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 y x) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) y (neg.f64 x)) y x) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- (* -2 y) 1)))
(fma.f64 (-.f64 (*.f64 #s(literal -2 binary64) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (- (* 2 y) 2)) 1)))
(fma.f64 (-.f64 (.f64 (-.f64 (.f64 #s(literal 2 binary64) y) #s(literal 2 binary64)) y) #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* y (+ 1 (* -1 (pow y 2)))) 1)))
(fma.f64 (-.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* -1 (* x y))
(*.f64 (neg.f64 y) x)
(* y (+ (* -1 x) (* x (pow y 2))))
(.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) y) x)
(* -1 y)
(neg.f64 y)
(* y (- (pow y 2) 1))
(*.f64 (fma.f64 y y #s(literal -1 binary64)) y)
-1
#s(literal -1 binary64)
(- (pow y 2) 1)
(fma.f64 y y #s(literal -1 binary64))
(* -1 (* x (pow y 2)))
(.f64 (neg.f64 y) (.f64 y x))
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y))))
(neg.f64 (fma.f64 (.f64 y x) y (.f64 y x)))
(* (pow y 2) (+ (* -1 x) (+ (* -1 (/ x y)) (* 2 (/ x (pow y 2))))))
(.f64 (.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) x) y) x)) y) y)
(* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 4))) (* 2 (/ x (pow y 2)))))) (/ x (pow y 4))))
(.f64 (fma.f64 (+.f64 (/.f64 x y) x) #s(literal -1 binary64) (-.f64 (.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64)) (/.f64 (.f64 #s(literal 2 binary64) x) (pow.f64 y #s(literal 4 binary64))))) (.f64 y y))
(* -1 (* y (+ 1 (/ 1 y))))
(-.f64 #s(literal -1 binary64) y)
(* y (- (/ 2 (pow y 2)) (+ 1 (/ 1 y))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) y) #s(literal 1 binary64)) y)
(* y (- (/ 2 (pow y 2)) (+ 1 (+ (/ 1 y) (* 2 (/ 1 (pow y 4)))))))
(*.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 4 binary64))))) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- 1 (/ 1 (pow y 2))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y)
(/ (- (+ 1 (/ 1 (pow y 3))) (/ 1 (pow y 2))) y)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
(/ (- (+ 1 (/ 1 (pow y 3))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 5)))) y)
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (pow y 3))
(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
(* (pow y 3) (+ x (* -1 (/ x (pow y 2)))))
(.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) y) x)
(pow y 3)
(pow.f64 y #s(literal 3 binary64))
(* (pow y 3) (- 1 (/ 1 (pow y 2))))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (pow.f64 y #s(literal 3 binary64)))
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (/ 1 (pow y 2))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y) y)
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -2 (/ x y))) y))))
(.f64 (.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal -2 binary64) x) y) x)) y) y)
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (/ x (pow y 2))) (* 2 x)) (/ x (pow y 2))) y))) y))))
(.f64 (.f64 (neg.f64 (+.f64 (/.f64 (-.f64 x (/.f64 (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) x)) y)) y) x)) y) y)
(* -1 (* y (+ 1 (* -1 (/ (- (* 2 (/ 1 y)) 1) y)))))
(neg.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))) #s(literal 1 binary64) y))
(* -1 (* y (+ 1 (* -1 (/ (- (* -1 (/ (- (* 2 (/ 1 (pow y 2))) 2) y)) 1) y)))))
(neg.f64 (fma.f64 (neg.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) #s(literal 2 binary64)) (neg.f64 y)) #s(literal 1 binary64))) #s(literal 1 binary64) y))
(* -1 (/ (- (/ 1 (pow y 2)) 1) y))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (/ (- (/ 1 (pow y 2)) (+ 1 (/ 1 (pow y 3)))) y))
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 y))
(* -1 (/ (- (+ (* -1 (/ (- 1 (/ 1 (pow y 2))) (pow y 3))) (/ 1 (pow y 2))) 1) y))
(/.f64 (-.f64 (/.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) #s(literal 1 binary64)) y) y) #s(literal 1 binary64)) (neg.f64 y))
(* -1 (* (pow y 3) (+ (* -1 x) (/ x (pow y 2)))))
(.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) y) x)
(* -1 (* (pow y 3) (- (/ 1 (pow y 2)) 1)))
(*.f64 (pow.f64 (neg.f64 y) #s(literal 3 binary64)) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)))

rewrite376.0ms (7.1%)

Memory

29.8MiB live, 418.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	116
0	33	125
1	126	125
2	896	107
0	9682	100

Stop Event

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

Counts

8 → 656

Calls

Call 1

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

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

eval58.0ms (1.1%)

Memory: -12.1MiB live, 124.8MiB allocated
Compiler: Compiled 19 938 to 1 374 computations (93.1% saved)

prune12.0ms (0.2%)

Memory

-4.2MiB live, 39.8MiB allocated

Pruning

8 alts after pruning (0 fresh and 8 done)

	Pruned	Kept	Total
New	478	0	478
Fresh	0	0	0
Picked	0	2	2
Done	0	6	6
Total	478	8	486

Accuracy

100.0%

Counts

486 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y x (.f64 (.f64 y x) (neg.f64 y)))
✓	52.3%	(/.f64 (.f64 (.f64 #s(approx (+ (* y y) -1) (*.f64 y y)) y) x) (-.f64 #s(literal -1 binary64) y))
✓	99.9%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	27.7%	(.f64 (.f64 x y) (.f64 (/.f64 #s(approx (+ ( y y) -1) (*.f64 y y)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))))
✓	62.7%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓	56.9%	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
✓	59.1%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))

Compiler

Compiled 231 to 121 computations (47.6% saved)

regimes10.0ms (0.2%)

Memory

24.3MiB live, 24.3MiB allocated

Counts

10 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
99.9%	1	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes9.0ms (0.2%)

Memory

-29.0MiB live, 16.0MiB allocated

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
2.0ms	x
2.0ms	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Results

Accuracy	Segments	Branch
99.9%	1	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`
99.9%	1	`x`
99.9%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.1%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
1.0ms	y
1.0ms	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Results

Accuracy	Segments	Branch
91.0%	2	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`
68.3%	2	`x`
98.5%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes1.0ms (0%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
94.8%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes3.0ms (0.1%)

Memory

9.5MiB live, 9.5MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
56.9%	1	`x`
56.9%	1	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`
56.9%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch27.0ms (0.5%)

Memory

8.1MiB live, 52.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.0822484073645374	11.874638991190182
16.0ms	-14545311892.957853	-3.522522870299015e-10

Samples

11.0ms

288×

valid

Compiler

Compiled 352 to 335 computations (4.8% saved)

Precisions

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

ival-mult: 4.0ms (73.3% of total)

ival-sub: 1.0ms (18.3% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

4.4MiB live, 4.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0822484073645374	11.874638991190182
1.0ms	-14545311892.957853	-3.522522870299015e-10

Compiler

Compiled 424 to 371 computations (12.5% saved)

simplify19.0ms (0.4%)

Memory

-21.4MiB live, 29.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	85
1	45	85
2	64	85
3	78	85
4	83	85
5	84	85

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(fma.f64 y x (.f64 (.f64 y x) (neg.f64 y)))
(fma.f64 y x (.f64 (.f64 (neg.f64 y) x) y))
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal -1 binary64)) (.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) (.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64))) (.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x)) (if (<=.f64 y #s(literal 1 binary64)) (.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64))) #s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x)) (.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64))))
(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))

soundness716.0ms (13.5%)

Memory

-15.2MiB live, 266.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	29	13
2	139	13
3	1024	13
0	9488	12
0	27	45
1	71	42
2	153	42
3	440	42
4	1358	42
5	3788	42
6	5687	42
7	6854	42
8	7772	42
0	8095	42

Stop Event

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

Compiler

Compiled 128 to 63 computations (50.8% saved)

preprocess97.0ms (1.8%)

Memory: -23.2MiB live, 103.4MiB allocated
Remove: (negabs x)
Compiler: Compiled 238 to 104 computations (56.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	43
1	43	39
2	129	39
3	279	39
4	338	39
5	351	39
6	364	39
0	6	7
0	9	7
1	15	7
2	22	7
3	24	7
0	24	7

Iter	Nodes	Cost
0	16	43
1	43	39
2	129	39
3	279	39
4	338	39
5	351	39
6	364	39
0	6	7
0	9	7
1	15	7
2	22	7
3	24	7
0	24	7

start0.0ms (0%)

analyze0.0ms (0%)

sample976.0ms (18.4%)

explain59.0ms (1.1%)

preprocess23.0ms (0.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify15.0ms (0.3%)

localize17.0ms (0.3%)

series27.0ms (0.5%)

simplify473.0ms (8.9%)

rewrite215.0ms (4%)

eval52.0ms (1%)

prune9.0ms (0.2%)

simplify29.0ms (0.5%)

localize47.0ms (0.9%)

series13.0ms (0.2%)

simplify86.0ms (1.6%)

rewrite204.0ms (3.8%)

eval64.0ms (1.2%)

prune15.0ms (0.3%)

simplify168.0ms (3.2%)

localize56.0ms (1.1%)

series20.0ms (0.4%)

simplify181.0ms (3.4%)

rewrite470.0ms (8.8%)

eval159.0ms (3%)

prune15.0ms (0.3%)

simplify179.0ms (3.4%)

localize54.0ms (1%)

series16.0ms (0.3%)

simplify338.0ms (6.4%)

rewrite376.0ms (7.1%)

eval58.0ms (1.1%)

prune12.0ms (0.2%)

regimes10.0ms (0.2%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

regimes1.0ms (0%)

regimes3.0ms (0.1%)

bsearch27.0ms (0.5%)

bsearch2.0ms (0%)

simplify19.0ms (0.4%)

soundness716.0ms (13.5%)

preprocess97.0ms (1.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	43
1	43	39
2	129	39
3	279	39
4	338	39
5	351	39
6	364	39
0	6	7
0	9	7
1	15	7
2	22	7
3	24	7
0	24	7