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

0.5MiB live, 0.5MiB 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)

sample709.0ms (11.7%)

Memory

24.4MiB live, 923.6MiB allocated

Samples

423.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 260.0ms

ival-sub: 132.0ms (50.9% of total)

ival-mult: 116.0ms (44.7% of total)

ival-true: 5.0ms (1.9% of total)

exact: 4.0ms (1.5% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain77.0ms (1.3%)

Memory

27.6MiB live, 65.3MiB 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

49.0ms

512×

valid

Compiler

Compiled 59 to 28 computations (52.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-sub: 30.0ms (82% of total)

ival-mult: 6.0ms (16.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess39.0ms (0.6%)

Memory

-19.0MiB live, 26.6MiB 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: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

simplify3.0ms (0%)

Memory

3.6MiB live, 3.6MiB 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)

localize49.0ms (0.8%)

Memory

-20.2MiB live, 17.0MiB 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	0.0546875	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Samples

44.0ms

256×

valid

Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions

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

ival-mult: 3.0ms (63.8% of total)

ival-sub: 1.0ms (21.3% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB 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
1.0ms	y	@	inf	((* (* x y) (- 1 y)) (* x y) (- 1 y))
1.0ms	x	@	0	((* (* 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))

simplify104.0ms (1.7%)

Memory

31.8MiB live, 64.1MiB 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)

rewrite246.0ms (4.1%)

Memory

-32.0MiB live, 135.7MiB 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))

eval47.0ms (0.8%)

Memory: 21.8MiB live, 58.4MiB allocated
Compiler: Compiled 10 979 to 1 043 computations (90.5% saved)

prune36.0ms (0.6%)

Memory

-17.0MiB live, 29.1MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	398	8	406
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	398	9	407

Accuracy

100.0%

Counts

407 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	62.3%	(/.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)))
	91.5%	(/.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)
▶	44.1%	(.f64 (.f64 x y) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)))
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
▶	62.2%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
▶	54.7%	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
	91.5%	(neg.f64 (/.f64 (*.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) (-.f64 #s(literal -1 binary64) y)))
	58.2%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))

Compiler

Compiled 187 to 144 computations (23% saved)

simplify232.0ms (3.8%)

Memory

16.0MiB live, 172.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 y #s(literal 4 binary64))
cost-diff	0	(+.f64 (pow.f64 y #s(literal 4 binary64)) y)
cost-diff	0	(*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) y) x)
cost-diff	0	(/.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)))
cost-diff	0	(sqrt.f64 (neg.f64 y))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)))
cost-diff	5	(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64))
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	#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	(-.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)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	135
0	42	125
1	76	125
2	178	125
3	483	125
4	960	125
5	1409	125
6	2107	125
7	2911	125
8	3373	125
9	4030	125
10	5985	125
0	8154	125

Stop Event

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

Calls

Call 1

Inputs
(.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
(.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)
(.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 x y) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)))
(*.f64 x y)
x
y
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64))
(sqrt.f64 (neg.f64 y))
(neg.f64 y)
#s(literal 1 binary64)
(/.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)))
(*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) y) x)
(+.f64 (pow.f64 y #s(literal 4 binary64)) y)
(pow.f64 y #s(literal 4 binary64))
y
#s(literal 4 binary64)
x
(fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
#s(literal 1 binary64)

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

localize67.0ms (1.1%)

Memory

-18.8MiB live, 96.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal -1 binary64) y)
accuracy	0.0	(+.f64 (pow.f64 y #s(literal 4 binary64)) y)
accuracy	0.7244548855003952	(*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) y) x)
accuracy	9.67420285594541	(/.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)))
accuracy	0.0	(sqrt.f64 (neg.f64 y))
accuracy	0.0	(neg.f64 y)
accuracy	0.03515625	(.f64 (.f64 x y) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)))
accuracy	0.09765625	(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x y)
accuracy	0.0	(neg.f64 y)
accuracy	0.03515625	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
accuracy	12.817994363780699	#s(approx (- 1 y) (neg.f64 y))
accuracy	0.0	(*.f64 x y)
accuracy	0.03515625	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
accuracy	14.35699147160953	#s(approx (- 1 y) #s(literal 1 binary64))
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy	0.0390625	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)

Samples

22.0ms	143×	0	invalid
21.0ms	113×	0	valid

Compiler

Compiled 266 to 49 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 11.0ms (43.4% of total)

ival-pow: 4.0ms (15.8% of total)

ival-add: 3.0ms (11.8% of total)

ival-sub: 3.0ms (11.8% of total)

ival-div: 2.0ms (7.9% of total)

ival-sqrt: 2.0ms (7.9% of total)

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

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

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

exact: 0.0ms (0% of total)

series19.0ms (0.3%)

Memory

31.4MiB live, 31.4MiB allocated

Counts

17 → 44

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
(*.f64 x y)
#s(approx (- 1 y) #s(literal 1 binary64))
(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64))
(.f64 (.f64 x y) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)))
(sqrt.f64 (neg.f64 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)))
(*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) y) x)
(+.f64 (pow.f64 y #s(literal 4 binary64)) y)
(pow.f64 y #s(literal 4 binary64))
(-.f64 #s(literal -1 binary64) y)

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

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (* x y) (- 1 y)) (- 1 y) (neg y) (+ (* (sqrt (neg y)) (sqrt (neg y))) 1) (* (* x y) (+ (* (sqrt (neg y)) (sqrt (neg y))) 1)) (sqrt (neg y)) (/ (* (+ (pow y 4) y) x) (+ (* (- -1 y) y) 1)) (* (+ (pow y 4) y) x) (+ (pow y 4) y) (pow y 4) (- -1 y))
3.0ms	x	@	-inf	((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (* x y) (- 1 y)) (- 1 y) (neg y) (+ (* (sqrt (neg y)) (sqrt (neg y))) 1) (* (* x y) (+ (* (sqrt (neg y)) (sqrt (neg y))) 1)) (sqrt (neg y)) (/ (* (+ (pow y 4) y) x) (+ (* (- -1 y) y) 1)) (* (+ (pow y 4) y) x) (+ (pow y 4) y) (pow y 4) (- -1 y))
3.0ms	x	@	inf	((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (* x y) (- 1 y)) (- 1 y) (neg y) (+ (* (sqrt (neg y)) (sqrt (neg y))) 1) (* (* x y) (+ (* (sqrt (neg y)) (sqrt (neg y))) 1)) (sqrt (neg y)) (/ (* (+ (pow y 4) y) x) (+ (* (- -1 y) y) 1)) (* (+ (pow y 4) y) x) (+ (pow y 4) y) (pow y 4) (- -1 y))
3.0ms	y	@	inf	((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (* x y) (- 1 y)) (- 1 y) (neg y) (+ (* (sqrt (neg y)) (sqrt (neg y))) 1) (* (* x y) (+ (* (sqrt (neg y)) (sqrt (neg y))) 1)) (sqrt (neg y)) (/ (* (+ (pow y 4) y) x) (+ (* (- -1 y) y) 1)) (* (+ (pow y 4) y) x) (+ (pow y 4) y) (pow y 4) (- -1 y))
2.0ms	y	@	0	((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (* x y) (- 1 y)) (- 1 y) (neg y) (+ (* (sqrt (neg y)) (sqrt (neg y))) 1) (* (* x y) (+ (* (sqrt (neg y)) (sqrt (neg y))) 1)) (sqrt (neg y)) (/ (* (+ (pow y 4) y) x) (+ (* (- -1 y) y) 1)) (* (+ (pow y 4) y) x) (+ (pow y 4) y) (pow y 4) (- -1 y))

simplify235.0ms (3.9%)

Memory

-42.6MiB live, 212.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	350
1	416	303
2	1274	289
3	4437	287
0	8160	276

Stop Event

1×	iter limit
1×	node limit

Counts

44 → 42

Calls

Call 1

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

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

rewrite129.0ms (2.1%)

Memory

-4.0MiB live, 152.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	105
0	42	88
1	143	88
2	908	84
0	9259	80

Stop Event

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

Counts

17 → 1 102

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(*.f64 (-.f64 #s(literal 1 binary64) y) x)
(-.f64 #s(literal 1 binary64) y)
(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
(*.f64 x y)
#s(approx (- 1 y) #s(literal 1 binary64))
(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
(fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64))
(.f64 (.f64 x y) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)))
(sqrt.f64 (neg.f64 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)))
(*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) y) x)
(+.f64 (pow.f64 y #s(literal 4 binary64)) y)
(pow.f64 y #s(literal 4 binary64))
(-.f64 #s(literal -1 binary64) y)

Outputs
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) (*.f64 (fma.f64 y y y) x)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64)))) (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) y (pow.f64 y #s(literal 8 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) (*.f64 (fma.f64 y y y) x)) (fma.f64 y y (pow.f64 y #s(literal 8 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) y))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (-.f64 (pow.f64 y #s(literal 16 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 10 binary64))))) (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) y (pow.f64 y #s(literal 8 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (+.f64 (pow.f64 (fma.f64 y y (pow.f64 y #s(literal 5 binary64))) #s(literal 3 binary64)) (pow.f64 y #s(literal 24 binary64)))) (fma.f64 (fma.f64 y y (pow.f64 y #s(literal 5 binary64))) (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) y (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 16 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 2 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) y) 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 (*.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))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) x) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 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 (fma.f64 x y x) #s(literal 1 binary64)) y)
(.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 (sqrt.f64 y) #s(literal 1 binary64))) (/.f64 (.f64 x y) (-.f64 (sqrt.f64 y) #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 x y) (+.f64 (sqrt.f64 y) #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (sqrt.f64 y) #s(literal 1 binary64))))
(.f64 (/.f64 x (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64))) (.f64 (-.f64 (fma.f64 y y #s(literal -1 binary64)) y) (-.f64 (pow.f64 y #s(literal 4 binary64)) y)))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)))) (.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 (pow.f64 y #s(literal 4 binary64)) y)))
(.f64 (.f64 (fma.f64 y y y) (/.f64 x (-.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (neg.f64 (-.f64 (fma.f64 y y #s(literal -1 binary64)) y)))
(.f64 (.f64 (fma.f64 y y y) (/.f64 x (-.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y))
(.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) (/.f64 x (-.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 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 3 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)))
(.f64 (.f64 (fma.f64 y y y) x) #s(literal 1 binary64))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64))) (/.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) y (pow.f64 y #s(literal 8 binary64)))))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64))) (/.f64 x (.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) y (pow.f64 y #s(literal 8 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))) (/.f64 (.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (neg.f64 x) (fma.f64 y y y))
(*.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) y))
(.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)))
(.f64 (-.f64 (fma.f64 y y #s(literal -1 binary64)) y) (.f64 (fma.f64 y y y) (/.f64 x (-.f64 (fma.f64 y y #s(literal -1 binary64)) y))))
(.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (.f64 x y) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (fma.f64 y y (pow.f64 y #s(literal 8 binary64))) (/.f64 (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) y)))
(.f64 (fma.f64 y y (pow.f64 y #s(literal 8 binary64))) (/.f64 x (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) y))))
(.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 (pow.f64 y #s(literal 4 binary64)) y) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 3 binary64))))))
(*.f64 (fma.f64 y y y) x)
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) (/.f64 (neg.f64 x) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x y))
(.f64 (.f64 x y) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))
(.f64 (.f64 x y) (-.f64 y #s(literal -1 binary64)))
(.f64 (.f64 x y) (-.f64 #s(literal -1 binary64) y))
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
(*.f64 (fma.f64 x y x) y)
(*.f64 x (fma.f64 y y y))
(.f64 y (.f64 #s(literal 1 binary64) (fma.f64 x y x)))
(.f64 y (-.f64 (.f64 x y) x))
(*.f64 y (fma.f64 x y x))
(.f64 #s(literal 1 binary64) (.f64 (fma.f64 y y y) x))
(/.f64 (/.f64 (.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) y) x) (+.f64 (sqrt.f64 y) #s(literal 1 binary64))) (-.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) x) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y)) (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) x) (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 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 3 binary64))))
(/.f64 (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) (.f64 x y)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (.f64 x y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 x y)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64))) (neg.f64 x)) (.f64 (neg.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) y (pow.f64 y #s(literal 8 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64))) (neg.f64 x)) (.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) y (pow.f64 y #s(literal 8 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 y y y) (/.f64 x (-.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (-.f64 (pow.f64 (fma.f64 y y 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)))
(/.f64 (.f64 (.f64 (fma.f64 y y y) (/.f64 x (-.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 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) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 3 binary64))))) (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 4 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 2 binary64)))) (-.f64 (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y y y)))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 3 binary64))))) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y y) #s(literal 6 binary64)))) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #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)) (pow.f64 (fma.f64 y y y) #s(literal 4 binary64))))
(/.f64 (.f64 (neg.f64 x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64)))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) (neg.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) y (pow.f64 y #s(literal 8 binary64))))))
(/.f64 (.f64 (neg.f64 x) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64)))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) y (pow.f64 y #s(literal 8 binary64)))))
(/.f64 (.f64 (.f64 x y) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (.f64 (.f64 x 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 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal -1 binary64) y))
(/.f64 (.f64 y (.f64 (fma.f64 y y #s(literal 1 binary64)) x)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (neg.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) y (pow.f64 y #s(literal 8 binary64)))))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) y (pow.f64 y #s(literal 8 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))) (.f64 (fma.f64 y y y) x))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 x y) (*.f64 (fma.f64 y y y) x))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) (.f64 (fma.f64 y y y) x))) (-.f64 (pow.f64 y #s(literal 4 binary64)) y))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64))) (/.f64 x (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))) (neg.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) y (pow.f64 y #s(literal 8 binary64)))))
(/.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 (+.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (neg.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (*.f64 (fma.f64 y y y) x))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 (.f64 x y) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 x y) (*.f64 (fma.f64 y y y) x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 y y (pow.f64 y #s(literal 8 binary64))) x)) (neg.f64 (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) y))))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64))) x)) (neg.f64 (.f64 (fma.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) y (pow.f64 y #s(literal 8 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 (pow.f64 (fma.f64 y y y) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 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))))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) x) (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 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 (pow.f64 (fma.f64 y y y) #s(literal 4 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 (fma.f64 y y y) #s(literal 3 binary64))) (-.f64 (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 y y y))))
(/.f64 (.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) x) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 y y y) #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 3 binary64))) (fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #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)) (pow.f64 (fma.f64 y y y) #s(literal 4 binary64)))))
(/.f64 (.f64 (neg.f64 x) (fma.f64 y y (pow.f64 y #s(literal 8 binary64)))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) y)))
(/.f64 (.f64 (fma.f64 y y (pow.f64 y #s(literal 8 binary64))) (neg.f64 x)) (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))))
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(.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) y))
(*.f64 (/.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 (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 (sqrt.f64 y) #s(literal 1 binary64)) (+.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(*.f64 (+.f64 (sqrt.f64 y) #s(literal 1 binary64)) (-.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(*.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal 1 binary64) y)))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))
(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (*.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 (-.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 (.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 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) (.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) 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 y (/.f64 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 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) (.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) (.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (*.f64 y (/.f64 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 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y))) (-.f64 #s(literal -1 binary64) y))
(/.f64 (neg.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)))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (fma.f64 y y 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 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 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 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 (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 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 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 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) y)))
(/.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)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal -1 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 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) y))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.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 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))))
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y y y) #s(literal 3 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)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))))
(fma.f64 (/.f64 #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 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y) (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(fma.f64 (*.f64 (sqrt.f64 y) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.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 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(fma.f64 (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))) (pow.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/4 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 y)) #s(literal -1 binary64))
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (sqrt.f64 (pow.f64 y #s(literal 3/2 binary64))) #s(literal -1 binary64))
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #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))
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64))
(expm1.f64 (/.f64 (*.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 2 binary64)))
(expm1.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 1/2 binary64)))
(expm1.f64 (.f64 (log.f64 (.f64 y y)) #s(literal 1/2 binary64)))
(expm1.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(expm1.f64 (log.f64 y))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (*.f64 y (/.f64 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 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))
(-.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) y)
(-.f64 y #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 (/.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) y)
(+.f64 y #s(literal -1 binary64))

eval90.0ms (1.5%)

Memory: 23.3MiB live, 173.8MiB allocated
Compiler: Compiled 17 244 to 2 413 computations (86% saved)

prune19.0ms (0.3%)

Memory

22.8MiB live, 61.9MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	842	4	846
Fresh	2	1	3
Picked	1	4	5
Done	0	1	1
Total	845	10	855

Accuracy

100.0%

Counts

855 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.1%	(/.f64 (fma.f64 (.f64 (.f64 y y) x) (.f64 y y) (.f64 x y)) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64)))
▶	94.0%	(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 x y)) (-.f64 #s(literal -1 binary64) y))
▶	91.5%	(/.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)
▶	20.2%	(.f64 (.f64 (neg.f64 x) y) #s(approx (- 1 y) #s(literal 1 binary64)))
✓	44.1%	(.f64 (.f64 x y) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)))
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	62.2%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓	54.7%	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
▶	58.2%	#s(approx (* (* (- 1 y) x) y) (.f64 (.f64 (neg.f64 y) y) x))

Compiler

Compiled 181 to 130 computations (28.2% saved)

simplify123.0ms (2%)

Memory

-4.5MiB live, 189.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 y y) x) (.f64 y y) (.f64 x y)) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64)))
cost-diff	5	(fma.f64 (.f64 (.f64 y y) x) (.f64 y y) (.f64 x y))
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	#s(approx (- 1 y) #s(literal 1 binary64))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) y)
cost-diff	0	(.f64 (.f64 (neg.f64 x) y) #s(approx (- 1 y) #s(literal 1 binary64)))
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 (* (* (- 1 y) x) y) (.f64 (.f64 (neg.f64 y) y) x))
cost-diff	0	(*.f64 y y)
cost-diff	0	(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 x y)) (-.f64 #s(literal -1 binary64) y))
cost-diff	1	(+.f64 #s(literal -1 binary64) (*.f64 y y))
cost-diff	1	(.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 x y))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	29	182
0	51	179
1	100	177
2	261	173
3	926	164
4	2600	164
5	6473	164
0	8970	164

Stop Event

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

Calls

Call 1

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

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

localize223.0ms (3.7%)

Memory

-5.8MiB live, 166.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))
accuracy	3.4296875000000004	(fma.f64 (.f64 (.f64 y y) x) (.f64 y y) (.f64 x y))
accuracy	6.150297857132481	(.f64 (.f64 y y) x)
accuracy	20.367755523168785	(/.f64 (fma.f64 (.f64 (.f64 y y) x) (.f64 y y) (.f64 x y)) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64)))
accuracy	0.0	(-.f64 #s(literal -1 binary64) y)
accuracy	0.0234375	(*.f64 (fma.f64 y y #s(literal -1 binary64)) y)
accuracy	2.1202193596100387	(.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) y) x)
accuracy	3.2989050841809555	(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) y) x) (-.f64 #s(literal -1 binary64) y))
accuracy	0.0	(*.f64 (neg.f64 x) y)
accuracy	0.0	(neg.f64 x)
accuracy	0.0546875	(.f64 (.f64 (neg.f64 x) y) #s(approx (- 1 y) #s(literal 1 binary64)))
accuracy	33.11640323643663	#s(approx (- 1 y) #s(literal 1 binary64))
accuracy	0.0	(*.f64 (neg.f64 y) y)
accuracy	0.0	(neg.f64 y)
accuracy	6.150297857132481	(.f64 (.f64 (neg.f64 y) y) x)
accuracy	24.153355793602014	#s(approx (* (* (- 1 y) x) y) (.f64 (.f64 (neg.f64 y) y) x))
accuracy	0.0	(*.f64 x y)
accuracy	0.00390625	(+.f64 #s(literal -1 binary64) (*.f64 y y))
accuracy	0.4926099987549709	(.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 x y))
accuracy	3.2989050841809555	(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 x y)) (-.f64 #s(literal -1 binary64) y))

Samples

203.0ms

256×

valid

Compiler

Compiled 363 to 61 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 181.0ms

ival-mult: 167.0ms (92.5% of total)

ival-div: 4.0ms (2.2% of total)

ival-add: 4.0ms (2.2% of total)

ival-sub: 2.0ms (1.1% of total)

ival-neg: 2.0ms (1.1% of total)

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

exact: 0.0ms (0% of total)

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

series93.0ms (1.5%)

Memory

-26.1MiB live, 53.8MiB allocated

Counts

22 → 51

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
73.0ms	x	@	0	((* (+ -1 (* y y)) (* x y)) (+ -1 (* y y)) (/ (* (+ -1 (* y y)) (* x y)) (- -1 y)) (* y y) (* (* (- 1 y) x) y) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* (neg x) y) (- 1 y)) (* (neg x) y) (neg x) (- 1 y) (* (+ (* y y) -1) y) (/ (* (* (+ (* y y) -1) y) x) (- -1 y)) (* (* (+ (* y y) -1) y) x) (+ (* y y) -1) (+ (* (* (* y y) x) (* y y)) (* x y)) (/ (+ (* (* (* y y) x) (* y y)) (* x y)) (+ (* (- -1 y) y) 1)) (* (* y y) x) (* x y) (- -1 y) (+ (* (- -1 y) y) 1))
5.0ms	y	@	-inf	((* (+ -1 (* y y)) (* x y)) (+ -1 (* y y)) (/ (* (+ -1 (* y y)) (* x y)) (- -1 y)) (* y y) (* (* (- 1 y) x) y) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* (neg x) y) (- 1 y)) (* (neg x) y) (neg x) (- 1 y) (* (+ (* y y) -1) y) (/ (* (* (+ (* y y) -1) y) x) (- -1 y)) (* (* (+ (* y y) -1) y) x) (+ (* y y) -1) (+ (* (* (* y y) x) (* y y)) (* x y)) (/ (+ (* (* (* y y) x) (* y y)) (* x y)) (+ (* (- -1 y) y) 1)) (* (* y y) x) (* x y) (- -1 y) (+ (* (- -1 y) y) 1))
4.0ms	x	@	inf	((* (+ -1 (* y y)) (* x y)) (+ -1 (* y y)) (/ (* (+ -1 (* y y)) (* x y)) (- -1 y)) (* y y) (* (* (- 1 y) x) y) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* (neg x) y) (- 1 y)) (* (neg x) y) (neg x) (- 1 y) (* (+ (* y y) -1) y) (/ (* (* (+ (* y y) -1) y) x) (- -1 y)) (* (* (+ (* y y) -1) y) x) (+ (* y y) -1) (+ (* (* (* y y) x) (* y y)) (* x y)) (/ (+ (* (* (* y y) x) (* y y)) (* x y)) (+ (* (- -1 y) y) 1)) (* (* y y) x) (* x y) (- -1 y) (+ (* (- -1 y) y) 1))
4.0ms	x	@	-inf	((* (+ -1 (* y y)) (* x y)) (+ -1 (* y y)) (/ (* (+ -1 (* y y)) (* x y)) (- -1 y)) (* y y) (* (* (- 1 y) x) y) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* (neg x) y) (- 1 y)) (* (neg x) y) (neg x) (- 1 y) (* (+ (* y y) -1) y) (/ (* (* (+ (* y y) -1) y) x) (- -1 y)) (* (* (+ (* y y) -1) y) x) (+ (* y y) -1) (+ (* (* (* y y) x) (* y y)) (* x y)) (/ (+ (* (* (* y y) x) (* y y)) (* x y)) (+ (* (- -1 y) y) 1)) (* (* y y) x) (* x y) (- -1 y) (+ (* (- -1 y) y) 1))
4.0ms	y	@	inf	((* (+ -1 (* y y)) (* x y)) (+ -1 (* y y)) (/ (* (+ -1 (* y y)) (* x y)) (- -1 y)) (* y y) (* (* (- 1 y) x) y) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* (neg x) y) (- 1 y)) (* (neg x) y) (neg x) (- 1 y) (* (+ (* y y) -1) y) (/ (* (* (+ (* y y) -1) y) x) (- -1 y)) (* (* (+ (* y y) -1) y) x) (+ (* y y) -1) (+ (* (* (* y y) x) (* y y)) (* x y)) (/ (+ (* (* (* y y) x) (* y y)) (* x y)) (+ (* (- -1 y) y) 1)) (* (* y y) x) (* x y) (- -1 y) (+ (* (- -1 y) y) 1))

simplify262.0ms (4.3%)

Memory

14.0MiB live, 205.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	454
1	467	433
2	1504	410
3	5493	408
0	8593	395

Stop Event

1×	iter limit
1×	node limit

Counts

51 → 51

Calls

Call 1

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

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

rewrite214.0ms (3.5%)

Memory

30.8MiB live, 270.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	155
0	51	152
1	172	146
2	1120	129
0	10467	126

Stop Event

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

Counts

22 → 1 591

Calls

Call 1

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

Outputs
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (fma.f64 y y y))
(.f64 (.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal 1 binary64)) y)
(.f64 (.f64 (fma.f64 y y y) x) (-.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (fma.f64 y y y) x) (-.f64 y #s(literal 1 binary64)))
(.f64 (.f64 (*.f64 x y) (-.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 1 binary64)) y)
(.f64 (.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) y)
(.f64 (.f64 (*.f64 (neg.f64 x) y) (-.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (*.f64 (neg.f64 x) y) (-.f64 #s(literal 1 binary64) y)) (-.f64 y #s(literal 1 binary64)))
(.f64 (.f64 (neg.f64 x) (-.f64 #s(literal 1 binary64) y)) (fma.f64 y y y))
(.f64 (.f64 (neg.f64 x) (fma.f64 y y y)) (-.f64 y #s(literal 1 binary64)))
(.f64 (neg.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) x)) y)
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) (neg.f64 x))
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x)
(.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) x) (neg.f64 y))
(.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) x) y)
(.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) (neg.f64 y))
(.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) y)
(.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (fma.f64 y y y) x))
(.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 (neg.f64 x) y))
(.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 x y))
(.f64 (fma.f64 y y y) (.f64 (-.f64 y #s(literal 1 binary64)) x))
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(+.f64 #s(literal 1 binary64) (fma.f64 y y y))
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eval525.0ms (8.7%)

Memory: -147.3MiB live, 285.2MiB allocated
Compiler: Compiled 29 753 to 3 293 computations (88.9% saved)

prune24.0ms (0.4%)

Memory

-0.9MiB live, 77.2MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	1 295	2	1 297
Fresh	0	0	0
Picked	2	3	5
Done	0	5	5
Total	1 297	10	1 307

Accuracy

100.0%

Counts

1 307 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	29.3%	(/.f64 (fma.f64 (.f64 (.f64 y y) x) (.f64 y y) (.f64 x y)) #s(approx (+ (* (- -1 y) y) 1) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
▶	56.1%	(/.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 x y)) (-.f64 #s(literal -1 binary64) y))
✓	91.5%	(/.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)
✓	20.2%	(.f64 (.f64 (neg.f64 x) y) #s(approx (- 1 y) #s(literal 1 binary64)))
✓	44.1%	(.f64 (.f64 x y) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)))
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	62.2%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓	54.7%	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
✓	58.2%	#s(approx (* (* (- 1 y) x) y) (.f64 (.f64 (neg.f64 y) y) x))

Compiler

Compiled 119 to 88 computations (26.1% saved)

simplify277.0ms (4.6%)

Memory

25.7MiB live, 275.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 y y) x) (.f64 y y) (.f64 x y)) #s(approx (+ (* (- -1 y) y) 1) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
cost-diff	5	(fma.f64 (.f64 (.f64 y y) x) (.f64 y y) (.f64 x y))
cost-diff	0	(*.f64 x y)
cost-diff	0	(fma.f64 y y #s(literal 1 binary64))
cost-diff	0	(/.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 x y)) (-.f64 #s(literal -1 binary64) y))
cost-diff	1	(.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 x y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	107
0	29	107
1	58	105
2	166	105
3	665	99
4	2251	95
5	4391	95
6	5111	95
7	6227	95
8	7689	95
0	8347	93

Stop Event

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

Calls

Call 1

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

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

localize126.0ms (2.1%)

Memory

-2.7MiB live, 36.5MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	3.4296875000000004	(fma.f64 (.f64 (.f64 y y) x) (.f64 y y) (.f64 x y))
accuracy	6.150297857132481	(.f64 (.f64 y y) x)
accuracy	20.367755523168785	(/.f64 (fma.f64 (.f64 (.f64 y y) x) (.f64 y y) (.f64 x y)) #s(approx (+ (* (- -1 y) y) 1) (*.f64 (-.f64 #s(literal -1 binary64) y) y)))
accuracy	29.890072531678943	#s(approx (+ (* (- -1 y) y) 1) (*.f64 (-.f64 #s(literal -1 binary64) y) y))
accuracy	0.0	(-.f64 #s(literal -1 binary64) y)
accuracy	0.0	(*.f64 x y)
accuracy	0.4887037487549709	(.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 x y))
accuracy	3.2871863341809555	(/.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 x y)) (-.f64 #s(literal -1 binary64) y))

Samples

114.0ms

256×

valid

Compiler

Compiled 209 to 38 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-add: 90.0ms (86.7% of total)

ival-mult: 9.0ms (8.7% of total)

ival-div: 3.0ms (2.9% of total)

ival-sub: 1.0ms (1% of total)

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

exact: 0.0ms (0% of total)

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

series27.0ms (0.4%)

Memory

-13.0MiB live, 24.8MiB allocated

Counts

10 → 46

Calls

Call 1

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

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

Calls

6 calls:

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

simplify205.0ms (3.4%)

Memory

20.0MiB live, 173.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	162	523
1	611	476
2	2222	423
0	8084	401

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 46

Calls

Call 1

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

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

rewrite250.0ms (4.1%)

Memory

-9.8MiB live, 189.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	89
0	29	89
1	113	83
2	805	75
0	8977	73

Stop Event

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

Counts

10 → 597

Calls

Call 1

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

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

eval109.0ms (1.8%)

Memory: -2.9MiB live, 117.1MiB allocated
Compiler: Compiled 21 532 to 1 847 computations (91.4% saved)

prune45.0ms (0.7%)

Memory

8.4MiB live, 45.5MiB allocated

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	695	3	698
Fresh	0	0	0
Picked	2	0	2
Done	1	7	8
Total	698	10	708

Accuracy

100.0%

Counts

708 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	21.5%	(/.f64 (fma.f64 (.f64 (.f64 y y) x) (.f64 y y) (.f64 x y)) #s(approx (+ (* (- -1 y) y) 1) (*.f64 (neg.f64 y) y)))
	55.2%	(/.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 x y)) #s(approx (- -1 y) (neg.f64 y)))
✓	91.5%	(/.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)
✓	44.1%	(.f64 (.f64 x y) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)))
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	62.2%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓	54.7%	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
	20.2%	#s(approx (/ (* (+ (* y y) 1) (* x y)) (- -1 y)) (*.f64 (neg.f64 x) y))
✓	58.2%	#s(approx (* (* (- 1 y) x) y) (.f64 (.f64 (neg.f64 y) y) x))

Compiler

Compiled 378 to 166 computations (56.1% saved)

regimes30.0ms (0.5%)

Memory

-17.5MiB live, 29.2MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

3 calls:

19.0ms	y
5.0ms	x
5.0ms	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.1%)

Memory

11.7MiB live, 11.7MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
71.3%	2	`x`
97.8%	3	`y`
88.7%	2	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

4 → 3

Calls

Call 1

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

2.0ms

Results

Accuracy	Segments	Branch
93.9%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

6.7MiB live, 6.7MiB allocated

Counts

2 → 2

Calls

Call 1

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
54.7%	1	`x`
56.4%	2	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`
64.2%	2	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes14.0ms (0.2%)

Memory

-32.5MiB live, 6.1MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

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
20.2%	1	`x`
20.2%	1	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`
20.2%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch59.0ms (1%)

Memory

6.5MiB live, 43.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	4.512333962156992e-10	1.6661829739903087
12.0ms	-26278339853980.41	-0.11911046926492712

Samples

12.0ms

304×

valid

Compiler

Compiled 371 to 353 computations (4.9% 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

4.0MiB live, 4.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.512333962156992e-10	1.6661829739903087
1.0ms	-26278339853980.41	-0.11911046926492712

Compiler

Compiled 447 to 391 computations (12.5% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.512333962156992e-10	1.6661829739903087

Compiler

Compiled 253 to 218 computations (13.8% saved)

simplify93.0ms (1.5%)

Memory

-3.2MiB live, 34.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	116
1	62	116
2	123	116
3	282	112
4	803	112
5	2160	112
6	3358	112
7	3731	112
8	3764	112
9	3771	112
10	3771	112
11	3771	112
12	3771	112

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(.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))))
(if (<=.f64 y #s(literal 1 binary64)) (.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64))) #s(approx (/ (* (+ (* y y) 1) (* x y)) (- -1 y)) (*.f64 (neg.f64 x) y)))
#s(approx (/ (* (+ (* y y) 1) (* x y)) (- -1 y)) (*.f64 (neg.f64 x) y))

soundness1.2s (19.7%)

Memory

7.4MiB live, 442.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	105
0	42	88
1	143	88
2	908	84
0	9259	80
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
0	29	155
0	51	152
1	172	146
2	1120	129
0	10467	126
0	6	13
0	9	13
1	29	13
2	139	13
3	1024	13
0	9488	12
0	162	523
1	611	476
2	2222	423
0	8084	401

Stop Event

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

Compiler

Compiled 151 to 68 computations (55% saved)

preprocess31.0ms (0.5%)

Memory: 25.5MiB live, 63.7MiB allocated
Remove: (negabs x)
Compiler: Compiled 274 to 106 computations (61.3% 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%)

sample709.0ms (11.7%)

explain77.0ms (1.3%)

preprocess39.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0%)

localize49.0ms (0.8%)

series6.0ms (0.1%)

simplify104.0ms (1.7%)

rewrite246.0ms (4.1%)

eval47.0ms (0.8%)

prune36.0ms (0.6%)

simplify232.0ms (3.8%)

localize67.0ms (1.1%)

series19.0ms (0.3%)

simplify235.0ms (3.9%)

rewrite129.0ms (2.1%)

eval90.0ms (1.5%)

prune19.0ms (0.3%)

simplify123.0ms (2%)

localize223.0ms (3.7%)

series93.0ms (1.5%)

simplify262.0ms (4.3%)

rewrite214.0ms (3.5%)

eval525.0ms (8.7%)

prune24.0ms (0.4%)

simplify277.0ms (4.6%)

localize126.0ms (2.1%)

series27.0ms (0.4%)

simplify205.0ms (3.4%)

rewrite250.0ms (4.1%)

eval109.0ms (1.8%)

prune45.0ms (0.7%)

regimes30.0ms (0.5%)

regimes8.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

regimes14.0ms (0.2%)

bsearch59.0ms (1%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

simplify93.0ms (1.5%)

soundness1.2s (19.7%)

preprocess31.0ms (0.5%)

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