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

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample758.0ms (15.7%)

Memory

3.2MiB live, 751.2MiB allocated

Samples

507.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 248.0ms

ival-mult: 121.0ms (48.8% of total)

ival-sub: 112.0ms (45.2% of total)

ival-true: 5.0ms (2% of total)

exact: 5.0ms (2% of total)

ival-assert: 4.0ms (1.6% of total)

Bogosity

explain63.0ms (1.3%)

Memory

-14.6MiB live, 106.4MiB 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

35.0ms

512×

valid

Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions

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

ival-sub: 13.0ms (62.1% of total)

ival-mult: 7.0ms (33.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess24.0ms (0.5%)

Memory

-7.1MiB live, 30.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB 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)

localize15.0ms (0.3%)

Memory

25.0MiB live, 25.0MiB 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	0.09765625	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Samples

11.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-mult: 3.0ms (60.3% of total)

ival-sub: 1.0ms (20.1% of total)

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

exact: 0.0ms (0% of total)

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

series12.0ms (0.2%)

Memory

-26.7MiB live, 11.0MiB 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
7.0ms	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	@	0	((* (* 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))

simplify90.0ms (1.9%)

Memory

21.9MiB live, 106.8MiB 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)

rewrite132.0ms (2.7%)

Memory

-9.3MiB live, 186.7MiB 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))

eval51.0ms (1%)

Memory: 5.3MiB live, 132.0MiB allocated
Compiler: Compiled 10 979 to 1 043 computations (90.5% saved)

prune11.0ms (0.2%)

Memory

-5.7MiB live, 33.0MiB 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
▶	99.9%	(fma.f64 y x (.f64 (.f64 y x) (neg.f64 y)))
▶	60.6%	(/.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)))
	99.9%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
▶	52.6%	(.f64 (.f64 x y) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)))
✓	99.8%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
▶	63.1%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
▶	58.2%	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
	83.8%	(neg.f64 (/.f64 (*.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) (-.f64 #s(literal -1 binary64) y)))
	55.1%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))

Compiler

Compiled 181 to 140 computations (22.7% saved)

simplify150.0ms (3.1%)

Memory

-6.9MiB live, 148.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 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	(neg.f64 y)
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 (.f64 y x) (neg.f64 y))
cost-diff	2	(fma.f64 y x (.f64 (.f64 y x) (neg.f64 y)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	24	139
0	42	132
1	89	130
2	209	127
3	599	127
4	1338	127
5	2274	127
6	2881	127
7	3443	127
8	3763	127
9	4220	127
10	4861	127
0	8443	127

Stop Event

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

Calls

Call 1

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

localize62.0ms (1.3%)

Memory

-12.2MiB live, 108.7MiB allocated

Localize:

Found 19 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	0.48182881692731283	(*.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) y) x)
accuracy	11.833031523184616	(/.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	0.05078125	(.f64 (.f64 x y) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)))
accuracy	0.14453125	(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	0.05078125	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
accuracy	15.538389097779165	#s(approx (- 1 y) (neg.f64 y))
accuracy	0.0	(*.f64 x y)
accuracy	0.05078125	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
accuracy	17.397543295954264	#s(approx (- 1 y) #s(literal 1 binary64))
accuracy	0.0	(fma.f64 y x (.f64 (.f64 y x) (neg.f64 y)))
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(neg.f64 y)
accuracy	0.08203125	(.f64 (.f64 y x) (neg.f64 y))

Samples

23.0ms	135×	0	valid
20.0ms	121×	0	invalid

Compiler

Compiled 136 to 25 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 28.0ms

ival-mult: 12.0ms (43.1% of total)

ival-add: 4.0ms (14.4% of total)

ival-pow: 4.0ms (14.4% of total)

ival-div: 2.0ms (7.2% of total)

ival-sub: 2.0ms (7.2% of total)

ival-sqrt: 2.0ms (7.2% of total)

ival-neg: 1.0ms (3.6% of total)

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

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

exact: 0.0ms (0% of total)

series25.0ms (0.5%)

Memory

7.9MiB live, 46.2MiB allocated

Counts

17 → 40

Calls

Call 1

Inputs
(fma.f64 y x (.f64 (.f64 y x) (neg.f64 y)))
(.f64 (.f64 y x) (neg.f64 y))
(*.f64 y x)
(neg.f64 y)
(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
(*.f64 x y)
#s(approx (- 1 y) #s(literal 1 binary64))
(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 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 (pow y 2))))
(* -1 (* x (pow y 2)))
(* x y)
(* x (* y (- 1 y)))
(* x (* y (+ 1 (* y (pow (sqrt -1) 2)))))
(/ (* x (+ y (pow y 4))) (+ 1 (* -1 (* y (+ 1 y)))))
(* x (+ y (pow y 4)))
(* -1 (* x (+ (* -1 y) (pow y 2))))
(* y (+ x (* -1 (* x y))))
(* -1 y)
1
(+ 1 (* -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)
(* (pow y 2) (+ (* -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 (- 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
6.0ms	y	@	-inf	((+ (* y x) (* (* y x) (neg y))) (* (* y x) (neg y)) (* y x) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (* x y) (- 1 y)) (- 1 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))
6.0ms	x	@	0	((+ (* y x) (* (* y x) (neg y))) (* (* y x) (neg y)) (* y x) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (* x y) (- 1 y)) (- 1 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	((+ (* y x) (* (* y x) (neg y))) (* (* y x) (neg y)) (* y x) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (* x y) (- 1 y)) (- 1 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	((+ (* y x) (* (* y x) (neg y))) (* (* y x) (neg y)) (* y x) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (* x y) (- 1 y)) (- 1 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	((+ (* y x) (* (* y x) (neg y))) (* (* y x) (neg y)) (* y x) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (* (* x y) (- 1 y)) (- 1 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))

simplify99.0ms (2.1%)

Memory

25.8MiB live, 142.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	124	355
1	420	302
2	1266	288
0	4330	279

Stop Event

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

Counts

40 → 39

Calls

Call 1

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

rewrite147.0ms (3%)

Memory

11.7MiB live, 209.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	108
0	42	96
1	172	89
2	1101	84
0	9489	81

Stop Event

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

Counts

17 → 869

Calls

Call 1

Inputs
(fma.f64 y x (.f64 (.f64 y x) (neg.f64 y)))
(.f64 (.f64 y x) (neg.f64 y))
(*.f64 y x)
(neg.f64 y)
(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
(*.f64 x y)
#s(approx (- 1 y) #s(literal 1 binary64))
(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (- 1 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 (fma.f64 x y x) #s(literal 1 binary64)) y)
(.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) (/.f64 x (-.f64 (pow.f64 (fma.f64 y y y) #s(literal 2 binary64)) #s(literal 1 binary64)))) (-.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))))) (fma.f64 (-.f64 #s(literal -1 binary64) y) (fma.f64 (fma.f64 y y y) y y) #s(literal 1 binary64)))
(.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 (.f64 (fma.f64 y y y) x) (fma.f64 x y x)) (/.f64 (*.f64 (fma.f64 y y y) x) y))
(.f64 (/.f64 (.f64 (fma.f64 y y y) x) x) (/.f64 (*.f64 (fma.f64 y y y) x) (fma.f64 y y y)))
(.f64 (/.f64 (.f64 (fma.f64 y y y) x) (fma.f64 y y y)) (/.f64 (*.f64 (fma.f64 y y y) x) x))
(.f64 (/.f64 (.f64 (fma.f64 y y y) x) (.f64 x y)) (/.f64 (.f64 (fma.f64 y y y) x) (-.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (.f64 (fma.f64 y y y) x) (-.f64 #s(literal 1 binary64) y)) (/.f64 (.f64 (fma.f64 y y y) x) (.f64 x y)))
(.f64 (/.f64 (.f64 (fma.f64 y y y) x) y) (/.f64 (*.f64 (fma.f64 y y y) x) (fma.f64 x y x)))
(.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 (-.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 (-.f64 #s(literal -1 binary64) y) (fma.f64 (fma.f64 y y y) y y) #s(literal 1 binary64)))
(*.f64 (fma.f64 x y x) 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 (.f64 (fma.f64 y y y) x) #s(literal 1 binary64))
(*.f64 (fma.f64 y y y) x)
(*.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 (sqrt.f64 y) (-.f64 (.f64 (.f64 x y) (sqrt.f64 y)) (.f64 x (sqrt.f64 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 x (fma.f64 y y y))
(.f64 y (-.f64 (.f64 x y) (neg.f64 x)))
(.f64 y (-.f64 (.f64 x y) x))
(*.f64 y (neg.f64 (fma.f64 x y x)))
(*.f64 y (fma.f64 x y x))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (fma.f64 y y y) x)) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (fma.f64 y y y) x))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64)) (.f64 (fma.f64 y y y) x)) (/.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64)) (.f64 (fma.f64 y y y) x)))) (*.f64 (fma.f64 y y y) x))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))) (*.f64 (fma.f64 y y y) x))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (fma.f64 y y y) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64)) (.f64 (fma.f64 y y y) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (fma.f64 y y y) x)) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (fma.f64 y y y) x)) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64)) (.f64 (fma.f64 y y y) x)) (/.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64)) (.f64 (fma.f64 y y y) x)) (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (fma.f64 y y y) x)) (/.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64)) (*.f64 (fma.f64 y y y) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))))) (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 x y) y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))))))))
(/.f64 (neg.f64 (.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) y)) (-.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 x y) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (neg.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 (neg.f64 (*.f64 (fma.f64 y y (pow.f64 y #s(literal 8 binary64))) (/.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 (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 y (-.f64 (pow.f64 y #s(literal 4 binary64)) y) (pow.f64 y #s(literal 8 binary64)))))
(/.f64 (neg.f64 (.f64 (fma.f64 y y (pow.f64 y #s(literal 8 binary64))) x)) (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))))
(/.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 y (-.f64 (pow.f64 y #s(literal 4 binary64)) 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 (-.f64 #s(literal -1 binary64) y) (fma.f64 (fma.f64 y y y) 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 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 y y y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 3 binary64)))) (.f64 (-.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)) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) y) (fma.f64 (fma.f64 y y y) y y) #s(literal 1 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 (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 y (-.f64 (pow.f64 y #s(literal 4 binary64)) 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 y (-.f64 (pow.f64 y #s(literal 4 binary64)) y) (pow.f64 y #s(literal 8 binary64)))))
(/.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))))
(/.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 y (-.f64 (pow.f64 y #s(literal 4 binary64)) 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 y (-.f64 (pow.f64 y #s(literal 4 binary64)) 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 (.f64 x y) #s(literal 2 binary64)) (.f64 (fma.f64 y y y) x)) (.f64 (.f64 (fma.f64 y y y) x) (pow.f64 (.f64 (.f64 x y) y) #s(literal 2 binary64)))) (.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (pow.f64 (.f64 (.f64 x y) y) #s(literal 3 binary64)))) (-.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) (pow.f64 (.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y)) #s(literal 2 binary64))))
(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) x) y) (-.f64 #s(literal -1 binary64) y))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x) y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))
(/.f64 (*.f64 (fma.f64 y y (pow.f64 y #s(literal 8 binary64))) (/.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 (-.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 y (-.f64 (pow.f64 y #s(literal 4 binary64)) y) (pow.f64 y #s(literal 8 binary64))))
(/.f64 (.f64 (.f64 x y) (fma.f64 y y #s(literal -1 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 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 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 y (-.f64 (pow.f64 y #s(literal 4 binary64)) y) (pow.f64 y #s(literal 8 binary64))))))
(/.f64 (.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 y (-.f64 (pow.f64 y #s(literal 4 binary64)) y) (pow.f64 y #s(literal 8 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (.f64 x y) #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(/.f64 (.f64 (fma.f64 y y (pow.f64 y #s(literal 8 binary64))) x) (.f64 (-.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 (pow.f64 y #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64))) x) (.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 4 binary64)) 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))) x) (.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 4 binary64)) y) (pow.f64 y #s(literal 8 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (*.f64 (fma.f64 y y y) x))
(/.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 (-.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 (fma.f64 y y y) x))
(fma.f64 (.f64 (.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)) (.f64 (.f64 x y) y))
(fma.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) y (.f64 (*.f64 x y) y))
(fma.f64 (.f64 x #s(literal -1 binary64)) y (.f64 (*.f64 x y) y))
(fma.f64 (.f64 #s(literal -1 binary64) x) y (.f64 (*.f64 x y) y))
(fma.f64 (.f64 (.f64 (.f64 x y) (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)) (.f64 x y))
(fma.f64 (.f64 y (.f64 x (sqrt.f64 y))) (sqrt.f64 y) (*.f64 x y))
(fma.f64 (.f64 x (pow.f64 y #s(literal 3/2 binary64))) (sqrt.f64 y) (.f64 x y))
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(/.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) (-.f64 #s(literal -1 binary64) y)) (.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 y y))) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (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 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)))
(/.f64 (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))
(/.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 (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 (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 (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)) (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 #s(literal 1 binary64) 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))
(expm1.f64 (/.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 2 binary64)))
(expm1.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(expm1.f64 (*.f64 (log.f64 y) #s(literal 1 binary64)))
(expm1.f64 (.f64 (log.f64 (.f64 y y)) #s(literal 1/2 binary64)))
(expm1.f64 (log.f64 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 #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)) (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 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)) (pow.f64 (-.f64 #s(literal 1 binary64) 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 (*.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))

eval72.0ms (1.5%)

Memory: -14.4MiB live, 139.8MiB allocated
Compiler: Compiled 13 802 to 1 900 computations (86.2% saved)

prune16.0ms (0.3%)

Memory

8.9MiB live, 46.3MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	687	3	690
Fresh	1	2	3
Picked	1	4	5
Done	0	1	1
Total	689	10	699

Accuracy

100.0%

Counts

699 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	47.1%	(fma.f64 y x (.f64 (.f64 (.f64 (.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 y)))
▶	47.2%	(fma.f64 y x (.f64 (.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y)) (neg.f64 y)))
✓	99.9%	(fma.f64 y x (.f64 (.f64 y x) (neg.f64 y)))
▶	60.6%	(/.f64 (.f64 (fma.f64 (.f64 y y) (*.f64 y y) y) x) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64)))
▶	99.9%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓	52.6%	(.f64 (.f64 x y) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)))
✓	99.8%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	63.1%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓	58.2%	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
▶	55.1%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))

Compiler

Compiled 185 to 126 computations (31.9% saved)

simplify89.0ms (1.8%)

Memory

10.1MiB live, 92.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (.f64 (.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 y))
cost-diff	1	(.f64 (.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64)))
cost-diff	2	(fma.f64 y x (.f64 (.f64 (.f64 (.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 y)))
cost-diff	8	(.f64 (.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
cost-diff	0	(*.f64 x (sqrt.f64 y))
cost-diff	0	(.f64 (.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y)) (neg.f64 y))
cost-diff	2	(fma.f64 y x (.f64 (.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y)) (neg.f64 y)))
cost-diff	4	(.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (fma.f64 (.f64 y y) (*.f64 y y) y) x)
cost-diff	0	(/.f64 (.f64 (fma.f64 (.f64 y y) (*.f64 y y) y) x) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64)))
cost-diff	3	(fma.f64 (.f64 y y) (.f64 y y) y)
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	(.f64 (.f64 (neg.f64 y) y) x)
cost-diff	0	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))
cost-diff	0	(-.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: 3 (0.0ms)

Iter	Nodes	Cost
0	31	204
0	56	169
1	114	158
2	325	152
3	1319	151
4	3177	151
5	7835	151
0	8354	151

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

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

localize87.0ms (1.8%)

Memory

12.2MiB live, 120.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(.f64 (.f64 (.f64 (.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))) (neg.f64 y))
accuracy	0.109375	(*.f64 x (sqrt.f64 y))
accuracy	0.11328125	(.f64 (.f64 (*.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64))) (pow.f64 y #s(literal 1/4 binary64)))
accuracy	0.12109375	(.f64 (.f64 x (sqrt.f64 y)) (pow.f64 y #s(literal 1/4 binary64)))
accuracy	0.0	(neg.f64 y)
accuracy	0.0546875	(.f64 (.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y)) (neg.f64 y))
accuracy	0.109375	(*.f64 x (sqrt.f64 y))
accuracy	0.12890625	(.f64 (.f64 x (sqrt.f64 y)) (sqrt.f64 y))
accuracy	0.0	(*.f64 y y)
accuracy	0.01953125	(fma.f64 (.f64 y y) (.f64 y y) y)
accuracy	1.3679185081430456	(.f64 (fma.f64 (.f64 y y) (*.f64 y y) y) x)
accuracy	10.091621528618617	(/.f64 (.f64 (fma.f64 (.f64 y y) (*.f64 y y) y) x) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64)))
accuracy	0.0	(*.f64 (neg.f64 y) y)
accuracy	0.0	(neg.f64 y)
accuracy	3.7766370303129393	(.f64 (.f64 (neg.f64 y) y) x)
accuracy	11.43284967054737	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy	0.04296875	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)

Samples

33.0ms	135×	0	invalid
28.0ms	121×	0	valid

Compiler

Compiled 206 to 34 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 23.0ms (60.1% of total)

ival-add: 4.0ms (10.5% of total)

ival-sub: 3.0ms (7.8% of total)

ival-pow: 3.0ms (7.8% of total)

ival-div: 2.0ms (5.2% of total)

ival-sqrt: 2.0ms (5.2% of total)

ival-neg: 1.0ms (2.6% of total)

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

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

exact: 0.0ms (0% of total)

series152.0ms (3.2%)

Memory

-12.0MiB live, 195.5MiB allocated

Counts

19 → 43

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

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

Calls

6 calls:

Time	Variable		Point	Expression
63.0ms	x	@	0	((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (+ (* (* y y) (* y y)) y) (/ (* (+ (* (* y y) (* y y)) y) x) (+ (* (- -1 y) y) 1)) (* (+ (* (* y y) (* y y)) y) x) (* y y) (* (* x (sqrt y)) (sqrt y)) (+ (* y x) (* (* (* x (sqrt y)) (sqrt y)) (neg y))) (* (* (* x (sqrt y)) (sqrt y)) (neg y)) (* x (sqrt y)) (* (* (* x (sqrt y)) (pow y 1/4)) (pow y 1/4)) (+ (* y x) (* (* (* (* x (sqrt y)) (pow y 1/4)) (pow y 1/4)) (neg y))) (* (* x (sqrt y)) (pow y 1/4)) (* (* (* (* x (sqrt y)) (pow y 1/4)) (pow y 1/4)) (neg y)))
41.0ms	y	@	-inf	((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (+ (* (* y y) (* y y)) y) (/ (* (+ (* (* y y) (* y y)) y) x) (+ (* (- -1 y) y) 1)) (* (+ (* (* y y) (* y y)) y) x) (* y y) (* (* x (sqrt y)) (sqrt y)) (+ (* y x) (* (* (* x (sqrt y)) (sqrt y)) (neg y))) (* (* (* x (sqrt y)) (sqrt y)) (neg y)) (* x (sqrt y)) (* (* (* x (sqrt y)) (pow y 1/4)) (pow y 1/4)) (+ (* y x) (* (* (* (* x (sqrt y)) (pow y 1/4)) (pow y 1/4)) (neg y))) (* (* x (sqrt y)) (pow y 1/4)) (* (* (* (* x (sqrt y)) (pow y 1/4)) (pow y 1/4)) (neg y)))
16.0ms	y	@	0	((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (+ (* (* y y) (* y y)) y) (/ (* (+ (* (* y y) (* y y)) y) x) (+ (* (- -1 y) y) 1)) (* (+ (* (* y y) (* y y)) y) x) (* y y) (* (* x (sqrt y)) (sqrt y)) (+ (* y x) (* (* (* x (sqrt y)) (sqrt y)) (neg y))) (* (* (* x (sqrt y)) (sqrt y)) (neg y)) (* x (sqrt y)) (* (* (* x (sqrt y)) (pow y 1/4)) (pow y 1/4)) (+ (* y x) (* (* (* (* x (sqrt y)) (pow y 1/4)) (pow y 1/4)) (neg y))) (* (* x (sqrt y)) (pow y 1/4)) (* (* (* (* x (sqrt y)) (pow y 1/4)) (pow y 1/4)) (neg y)))
13.0ms	x	@	inf	((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (+ (* (* y y) (* y y)) y) (/ (* (+ (* (* y y) (* y y)) y) x) (+ (* (- -1 y) y) 1)) (* (+ (* (* y y) (* y y)) y) x) (* y y) (* (* x (sqrt y)) (sqrt y)) (+ (* y x) (* (* (* x (sqrt y)) (sqrt y)) (neg y))) (* (* (* x (sqrt y)) (sqrt y)) (neg y)) (* x (sqrt y)) (* (* (* x (sqrt y)) (pow y 1/4)) (pow y 1/4)) (+ (* y x) (* (* (* (* x (sqrt y)) (pow y 1/4)) (pow y 1/4)) (neg y))) (* (* x (sqrt y)) (pow y 1/4)) (* (* (* (* x (sqrt y)) (pow y 1/4)) (pow y 1/4)) (neg y)))
11.0ms	x	@	-inf	((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (+ (* (* y y) (* y y)) y) (/ (* (+ (* (* y y) (* y y)) y) x) (+ (* (- -1 y) y) 1)) (* (+ (* (* y y) (* y y)) y) x) (* y y) (* (* x (sqrt y)) (sqrt y)) (+ (* y x) (* (* (* x (sqrt y)) (sqrt y)) (neg y))) (* (* (* x (sqrt y)) (sqrt y)) (neg y)) (* x (sqrt y)) (* (* (* x (sqrt y)) (pow y 1/4)) (pow y 1/4)) (+ (* y x) (* (* (* (* x (sqrt y)) (pow y 1/4)) (pow y 1/4)) (neg y))) (* (* x (sqrt y)) (pow y 1/4)) (* (* (* (* x (sqrt y)) (pow y 1/4)) (pow y 1/4)) (neg y)))

simplify342.0ms (7.1%)

Memory

-12.8MiB live, 178.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	134	361
1	443	339
2	1316	324
3	4371	322
0	8181	310

Stop Event

1×	iter limit
1×	node limit

Counts

43 → 41

Calls

Call 1

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

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

rewrite503.0ms (10.4%)

Memory

-112.0MiB live, 256.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	166
0	56	128
1	193	111
2	1266	111
0	8500	111

Stop Event

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

Counts

19 → 1 101

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

Outputs
(.f64 (-.f64 #s(literal 1 binary64) y) (.f64 x y))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
(.f64 (.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (-.f64 (pow.f64 y #s(literal 1/4 binary64)) (pow.f64 y #s(literal 5/4 binary64))))
(.f64 (.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (-.f64 (neg.f64 (pow.f64 y #s(literal 5/4 binary64))) (neg.f64 (pow.f64 y #s(literal 1/4 binary64)))))
(.f64 (.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (+.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (pow.f64 y #s(literal 5/4 binary64)))))
(.f64 (.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (+.f64 (neg.f64 (pow.f64 y #s(literal 5/4 binary64))) (pow.f64 y #s(literal 1/4 binary64))))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (-.f64 (.f64 (neg.f64 y) (.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (.f64 (neg.f64 x) (pow.f64 y #s(literal 3/4 binary64)))))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (fma.f64 (pow.f64 y #s(literal 3/4 binary64)) x (.f64 (neg.f64 y) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x))))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (fma.f64 (neg.f64 y) (.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (-.f64 (.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (.f64 (.f64 (pow.f64 y #s(literal 3/4 binary64)) x) y)))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (neg.f64 y)) (.f64 (neg.f64 x) (pow.f64 y #s(literal 3/4 binary64)))))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (-.f64 (.f64 (.f64 (sqrt.f64 y) x) (neg.f64 (pow.f64 y #s(literal 5/4 binary64)))) (.f64 (neg.f64 x) (pow.f64 y #s(literal 3/4 binary64)))))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (fma.f64 (pow.f64 y #s(literal 3/4 binary64)) x (.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (neg.f64 y))))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (fma.f64 (pow.f64 y #s(literal 3/4 binary64)) x (.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (pow.f64 y #s(literal 5/4 binary64))))))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (fma.f64 (.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (neg.f64 y) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (fma.f64 (.f64 (sqrt.f64 y) x) (neg.f64 (pow.f64 y #s(literal 5/4 binary64))) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)))
(.f64 (.f64 (sqrt.f64 y) x) (-.f64 (sqrt.f64 y) (pow.f64 y #s(literal 3/2 binary64))))
(.f64 (.f64 (sqrt.f64 y) x) (-.f64 (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (pow.f64 y #s(literal 5/4 binary64)))) (neg.f64 (sqrt.f64 y))))
(.f64 (.f64 (sqrt.f64 y) x) (-.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (neg.f64 (sqrt.f64 y))))
(.f64 (.f64 (sqrt.f64 y) x) (+.f64 (sqrt.f64 y) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (pow.f64 y #s(literal 5/4 binary64))))))
(.f64 (.f64 (sqrt.f64 y) x) (+.f64 (sqrt.f64 y) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))))
(.f64 (.f64 (sqrt.f64 y) x) (fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (pow.f64 y #s(literal 5/4 binary64))) (sqrt.f64 y)))
(.f64 (.f64 (sqrt.f64 y) x) (fma.f64 (neg.f64 (sqrt.f64 y)) y (sqrt.f64 y)))
(.f64 (sqrt.f64 y) (-.f64 (.f64 (neg.f64 y) (.f64 (sqrt.f64 y) x)) (.f64 (neg.f64 x) (sqrt.f64 y))))
(.f64 (sqrt.f64 y) (fma.f64 (sqrt.f64 y) x (.f64 (neg.f64 y) (*.f64 (sqrt.f64 y) x))))
(.f64 (sqrt.f64 y) (fma.f64 (neg.f64 y) (.f64 (sqrt.f64 y) x) (*.f64 (sqrt.f64 y) x)))
(.f64 (sqrt.f64 y) (-.f64 (.f64 (sqrt.f64 y) x) (.f64 (.f64 (sqrt.f64 y) x) y)))
(.f64 (sqrt.f64 y) (-.f64 (.f64 (.f64 (sqrt.f64 y) x) (neg.f64 y)) (.f64 (neg.f64 x) (sqrt.f64 y))))
(.f64 (sqrt.f64 y) (-.f64 (neg.f64 (.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (*.f64 (neg.f64 x) (sqrt.f64 y))))
(.f64 (sqrt.f64 y) (fma.f64 (sqrt.f64 y) x (.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 y))))
(.f64 (sqrt.f64 y) (fma.f64 (sqrt.f64 y) x (neg.f64 (.f64 x (pow.f64 y #s(literal 3/2 binary64))))))
(.f64 (sqrt.f64 y) (fma.f64 (.f64 (sqrt.f64 y) x) (neg.f64 y) (*.f64 (sqrt.f64 y) x)))
(.f64 (sqrt.f64 y) (fma.f64 x (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (.f64 (sqrt.f64 y) x)))
(.f64 (neg.f64 y) (-.f64 (.f64 x y) x))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 3/4 binary64)) (neg.f64 (pow.f64 y #s(literal 5/4 binary64)))) (neg.f64 y)))
(.f64 x (+.f64 y (.f64 (pow.f64 y #s(literal 3/4 binary64)) (neg.f64 (pow.f64 y #s(literal 5/4 binary64))))))
(*.f64 x (fma.f64 (pow.f64 y #s(literal 3/4 binary64)) (neg.f64 (pow.f64 y #s(literal 5/4 binary64))) y))
(.f64 x (+.f64 y (.f64 (neg.f64 y) y)))
(.f64 x (-.f64 (.f64 (neg.f64 y) y) (neg.f64 y)))
(*.f64 x (fma.f64 (neg.f64 y) y y))
(.f64 x (-.f64 y (.f64 y y)))
(.f64 x (.f64 (-.f64 #s(literal 1 binary64) y) y))
(.f64 y (-.f64 (.f64 (neg.f64 y) x) (neg.f64 x)))
(.f64 y (-.f64 x (.f64 x y)))
(.f64 y (+.f64 x (.f64 (neg.f64 y) x)))
(*.f64 y (fma.f64 (neg.f64 x) y x))
(.f64 y (.f64 (-.f64 #s(literal 1 binary64) y) x))
(/.f64 (.f64 (.f64 x y) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 y #s(literal 1 binary64)) 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 x (-.f64 y (pow.f64 y #s(literal 4 binary64)))) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(/.f64 (*.f64 x (+.f64 y (pow.f64 (neg.f64 y) #s(literal 3 binary64)))) (+.f64 y #s(literal 1 binary64)))
(/.f64 (.f64 y (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) x)) (+.f64 y #s(literal 1 binary64)))
(/.f64 (.f64 y (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) x)) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))
(/.f64 (.f64 y (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (+.f64 y #s(literal 1 binary64)))
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(fma.f64 (.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (pow.f64 y #s(literal 1/4 binary64)) (.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (.f64 (neg.f64 x) (pow.f64 y #s(literal 3/4 binary64)))) (.f64 (neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 y))) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))))
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (.f64 (neg.f64 x) (pow.f64 y #s(literal 3/4 binary64)))) (.f64 (neg.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 3/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 5/4 binary64)))))
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (.f64 (neg.f64 x) (pow.f64 y #s(literal 3/4 binary64)))) (.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (neg.f64 y)) (*.f64 x y))
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (.f64 (sqrt.f64 y) x) (neg.f64 (pow.f64 y #s(literal 5/4 binary64)))) (*.f64 x y))
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (.f64 (neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 y))) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))))
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (.f64 (neg.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 3/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 5/4 binary64)))))
(fma.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 (.f64 (sqrt.f64 y) x) (.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (pow.f64 y #s(literal 5/4 binary64)))) (*.f64 x y))
(fma.f64 (.f64 (sqrt.f64 y) x) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (.f64 x y))
(fma.f64 (.f64 (sqrt.f64 y) x) (sqrt.f64 y) (.f64 (neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 y))) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))))
(fma.f64 (.f64 (sqrt.f64 y) x) (sqrt.f64 y) (.f64 (neg.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 3/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 5/4 binary64)))))
(fma.f64 (.f64 (sqrt.f64 y) x) (sqrt.f64 y) (.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 (sqrt.f64 y) (neg.f64 (.f64 (neg.f64 x) (sqrt.f64 y))) (.f64 (neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 y))) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))))
(fma.f64 (sqrt.f64 y) (neg.f64 (.f64 (neg.f64 x) (sqrt.f64 y))) (.f64 (neg.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 3/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 5/4 binary64)))))
(fma.f64 (sqrt.f64 y) (neg.f64 (.f64 (neg.f64 x) (sqrt.f64 y))) (.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 (sqrt.f64 y) (.f64 (.f64 (sqrt.f64 y) x) (neg.f64 y)) (*.f64 x y))
(fma.f64 (sqrt.f64 y) (neg.f64 (.f64 x (pow.f64 y #s(literal 3/2 binary64)))) (.f64 x y))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 (neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 y))) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 (neg.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 3/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 5/4 binary64)))))
(fma.f64 (sqrt.f64 y) (.f64 (sqrt.f64 y) x) (.f64 (*.f64 (neg.f64 y) y) x))
(fma.f64 (.f64 y y) (neg.f64 x) (.f64 x y))
(fma.f64 (.f64 (neg.f64 y) y) x (.f64 x y))
(fma.f64 (neg.f64 y) (.f64 x y) (.f64 x y))
(fma.f64 x (.f64 (pow.f64 y #s(literal 3/4 binary64)) (neg.f64 (pow.f64 y #s(literal 5/4 binary64)))) (.f64 x y))
(fma.f64 x (.f64 (neg.f64 y) y) (.f64 x y))
(fma.f64 x y (.f64 (neg.f64 (.f64 (neg.f64 x) (sqrt.f64 y))) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))))
(fma.f64 x y (.f64 (neg.f64 (.f64 (neg.f64 x) (pow.f64 y #s(literal 3/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 5/4 binary64)))))
(fma.f64 x y (.f64 (.f64 (neg.f64 y) y) x))
(fma.f64 y (.f64 (neg.f64 y) x) (.f64 x y))
(fma.f64 y x (.f64 (neg.f64 (.f64 (neg.f64 x) (sqrt.f64 y))) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))))
(fma.f64 y x (.f64 (neg.f64 (.f64 (neg.f64 x) (pow.f64 y #s(literal 3/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 5/4 binary64)))))
(fma.f64 y x (.f64 (.f64 (neg.f64 y) y) x))
(-.f64 (/.f64 (.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64))) (.f64 x (-.f64 (.f64 (neg.f64 y) y) y))) (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (-.f64 (*.f64 (neg.f64 y) y) y))))
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(-.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (fma.f64 y y y))) (/.f64 (.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64))) (*.f64 x (fma.f64 y y y))))
(-.f64 (.f64 x y) (.f64 (pow.f64 y #s(literal 3/2 binary64)) (*.f64 (sqrt.f64 y) x)))
(-.f64 (.f64 x y) (.f64 (pow.f64 y #s(literal 5/4 binary64)) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)))
(-.f64 (.f64 x y) (.f64 (*.f64 x y) y))
(-.f64 (.f64 (.f64 (neg.f64 y) y) x) (*.f64 (neg.f64 y) x))
(+.f64 (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 x y) (.f64 x (fma.f64 y y y))))) (/.f64 (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 x (fma.f64 y y y))))))
(+.f64 (/.f64 (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 x (fma.f64 y y y))))) (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (.f64 (.f64 x y) (.f64 x (fma.f64 y y y))))))
(+.f64 (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 3 binary64)) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (/.f64 (.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 y y y) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))
(+.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x (fma.f64 y y y))) (/.f64 (neg.f64 (.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)))) (*.f64 x (fma.f64 y y y))))
(+.f64 (.f64 x y) (.f64 (neg.f64 (*.f64 (neg.f64 x) (sqrt.f64 y))) (neg.f64 (pow.f64 y #s(literal 3/2 binary64)))))
(+.f64 (.f64 x y) (.f64 (neg.f64 (*.f64 (neg.f64 x) (pow.f64 y #s(literal 3/4 binary64)))) (neg.f64 (pow.f64 y #s(literal 5/4 binary64)))))
(+.f64 (.f64 x y) (.f64 (*.f64 (neg.f64 y) y) x))
(+.f64 (.f64 (.f64 (neg.f64 y) y) x) (*.f64 x y))
(.f64 (.f64 (*.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal 1/8 binary64))) (pow.f64 y #s(literal 1/8 binary64)))
(.f64 (.f64 (pow.f64 y #s(literal 1/4 binary64)) x) (sqrt.f64 y))
(*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)
(.f64 (pow.f64 y #s(literal 1/8 binary64)) (.f64 (pow.f64 y #s(literal 1/8 binary64)) (*.f64 (sqrt.f64 y) x)))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (sqrt.f64 y) x))
(.f64 (.f64 (sqrt.f64 y) x) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 y) (.f64 x (pow.f64 y #s(literal 1/4 binary64))))
(*.f64 x (pow.f64 y #s(literal 3/4 binary64)))
(fma.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 y) x) (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 y) x)))
(fma.f64 (.f64 (sqrt.f64 y) x) (cosh.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64))) (.f64 (.f64 (sqrt.f64 y) x) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)))))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 y) x)) (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64))) (.f64 (sqrt.f64 y) x)))
(+.f64 (.f64 (.f64 (sqrt.f64 y) x) (cosh.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64)))) (.f64 (.f64 (sqrt.f64 y) x) (sinh.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64)))))
(.f64 (.f64 (neg.f64 y) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (pow.f64 y #s(literal 1/4 binary64)))
(.f64 (.f64 (neg.f64 y) (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y))
(.f64 (.f64 (neg.f64 x) (sqrt.f64 y)) (pow.f64 y #s(literal 3/2 binary64)))
(.f64 (.f64 (neg.f64 x) (pow.f64 y #s(literal 3/4 binary64))) (pow.f64 y #s(literal 5/4 binary64)))
(.f64 (neg.f64 x) (.f64 y y))
(.f64 (neg.f64 (pow.f64 y #s(literal 1/4 binary64))) (.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) y))
(.f64 (neg.f64 (sqrt.f64 y)) (.f64 (*.f64 (sqrt.f64 y) x) y))
(.f64 (.f64 (neg.f64 y) x) y)
(.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (.f64 (sqrt.f64 y) x))
(.f64 (neg.f64 (pow.f64 y #s(literal 5/4 binary64))) (.f64 (pow.f64 y #s(literal 3/4 binary64)) x))
(.f64 (.f64 x y) (neg.f64 y))
(.f64 (.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (neg.f64 (pow.f64 y #s(literal 5/4 binary64))))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x) (neg.f64 y)))
(.f64 (pow.f64 y #s(literal 1/4 binary64)) (.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 (pow.f64 y #s(literal 5/4 binary64)))))
(.f64 (.f64 (sqrt.f64 y) x) (*.f64 (pow.f64 y #s(literal 1/4 binary64)) (neg.f64 (pow.f64 y #s(literal 5/4 binary64)))))
(.f64 (.f64 (sqrt.f64 y) x) (neg.f64 (pow.f64 y #s(literal 3/2 binary64))))
(.f64 (sqrt.f64 y) (.f64 (*.f64 (sqrt.f64 y) x) (neg.f64 y)))
(.f64 (sqrt.f64 y) (neg.f64 (.f64 x (pow.f64 y #s(literal 3/2 binary64)))))
(.f64 (.f64 y y) (neg.f64 x))
(.f64 (.f64 (neg.f64 y) y) x)
(.f64 (neg.f64 y) (.f64 x y))
(.f64 x (.f64 (pow.f64 y #s(literal 3/4 binary64)) (neg.f64 (pow.f64 y #s(literal 5/4 binary64)))))
(.f64 x (.f64 (neg.f64 y) y))
(.f64 y (.f64 (neg.f64 y) x))
(neg.f64 (.f64 (pow.f64 y #s(literal 3/2 binary64)) (.f64 (sqrt.f64 y) x)))
(neg.f64 (.f64 (pow.f64 y #s(literal 5/4 binary64)) (.f64 (pow.f64 y #s(literal 3/4 binary64)) x)))
(neg.f64 (.f64 (.f64 x y) y))
(fma.f64 (.f64 (neg.f64 y) (.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (cosh.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64))) (.f64 (.f64 (neg.f64 y) (.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (sinh.f64 (*.f64 (log.f64 y) #s(literal 1/4 binary64)))))
(fma.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64))) (.f64 (neg.f64 y) (.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64))) (.f64 (neg.f64 y) (*.f64 (pow.f64 y #s(literal 3/4 binary64)) x))))
(+.f64 (.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64))) (.f64 (neg.f64 y) (.f64 (pow.f64 y #s(literal 3/4 binary64)) x))) (.f64 (sinh.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64))) (.f64 (neg.f64 y) (.f64 (pow.f64 y #s(literal 3/4 binary64)) x))))
(+.f64 (.f64 (.f64 (neg.f64 y) (.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (cosh.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64)))) (.f64 (.f64 (neg.f64 y) (.f64 (pow.f64 y #s(literal 3/4 binary64)) x)) (sinh.f64 (.f64 (log.f64 y) #s(literal 1/4 binary64)))))

eval87.0ms (1.8%)

Memory: 4.1MiB live, 116.8MiB allocated
Compiler: Compiled 15 971 to 2 000 computations (87.5% saved)

prune16.0ms (0.3%)

Memory

15.7MiB live, 51.4MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	725	1	726
Fresh	0	0	0
Picked	1	4	5
Done	0	5	5
Total	726	10	736

Accuracy

100.0%

Counts

736 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	47.2%	(fma.f64 y x (.f64 (.f64 (*.f64 x (sqrt.f64 y)) (sqrt.f64 y)) (neg.f64 y)))
✓	99.9%	(fma.f64 y x (.f64 (.f64 y x) (neg.f64 y)))
✓	60.6%	(/.f64 (.f64 (fma.f64 (.f64 y y) (*.f64 y y) y) x) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64)))
✓	99.9%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓	52.6%	(.f64 (.f64 x y) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)))
✓	99.8%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	63.1%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓	58.2%	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
▶	29.3%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y)))
✓	55.1%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))

Compiler

Compiled 116 to 82 computations (29.3% saved)

simplify377.0ms (7.8%)

Memory

-47.4MiB live, 129.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 y)
cost-diff	0	(.f64 (neg.f64 y) (.f64 (sqrt.f64 y) x))
cost-diff	0	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y)))
cost-diff	4	(.f64 (.f64 (neg.f64 y) (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	45
0	17	45
1	32	45
2	70	37
3	127	37
4	202	37
5	353	37
6	702	37
7	1072	37
8	1297	37
9	1450	37
10	1952	37
11	3468	37
12	5126	37
13	6709	37
14	7661	37
15	7858	37
0	8004	37

Stop Event

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

Calls

Call 1

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

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

localize45.0ms (0.9%)

Memory

13.9MiB live, 57.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0625	(.f64 (.f64 (neg.f64 y) (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y))
accuracy	0.0625	(.f64 (neg.f64 y) (.f64 (sqrt.f64 y) x))
accuracy	0.109375	(*.f64 (sqrt.f64 y) x)
accuracy	11.43284967054737	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y)))

Samples

10.0ms	135×	0	invalid
9.0ms	121×	0	valid

Compiler

Compiled 36 to 13 computations (63.9% saved)

Precisions

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

ival-mult: 7.0ms (62.7% of total)

ival-sqrt: 2.0ms (17.9% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

5 → 11

Calls

Call 1

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

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

Calls

6 calls:

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

simplify94.0ms (1.9%)

Memory

-2.0MiB live, 74.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	60
1	93	60
2	236	60
3	606	60
4	1618	60
0	4642	60

Stop Event

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

Counts

11 → 11

Calls

Call 1

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

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

rewrite195.0ms (4%)

Memory

-11.0MiB live, 99.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
0	17	41
1	48	41
2	194	33
3	1184	32
0	9825	31

Stop Event

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

Counts

5 → 69

Calls

Call 1

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

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

eval6.0ms (0.1%)

Memory: 12.1MiB live, 12.1MiB allocated
Compiler: Compiled 1 459 to 265 computations (81.8% saved)

prune7.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	0	0	0
Picked	0	1	1
Done	2	7	9
Total	75	10	85

Accuracy

100.0%

Counts

85 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 y x (.f64 (.f64 y x) (neg.f64 y)))
✓	60.6%	(/.f64 (.f64 (fma.f64 (.f64 y y) (*.f64 y y) y) x) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64)))
✓	99.9%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓	52.6%	(.f64 (.f64 x y) (fma.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (neg.f64 y)) #s(literal 1 binary64)))
✓	99.8%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	63.1%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
	29.3%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (*.f64 x (neg.f64 y)) (sqrt.f64 y)) (sqrt.f64 y)))
✓	29.3%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) (*.f64 (sqrt.f64 y) x)) (sqrt.f64 y)))
✓	55.1%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))
	58.2%	#s(approx (* (* x y) (- 1 y)) (*.f64 x y))

Compiler

Compiled 312 to 150 computations (51.9% saved)

regimes17.0ms (0.3%)

Memory

-7.1MiB live, 28.6MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	x
4.0ms	y
4.0ms	(.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)

regimes103.0ms (2.1%)

Memory

-21.8MiB live, 15.5MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

98.0ms	x
2.0ms	y
2.0ms	(.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)

regimes7.0ms (0.1%)

Memory

14.5MiB live, 14.5MiB allocated

Counts

5 → 1

Calls

Call 1

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

Outputs
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) 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
99.8%	1	`x`
99.8%	1	`y`
99.8%	1	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Counts

4 → 3

Calls

Call 1

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

Outputs
(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
#s(approx (* (* x y) (- 1 y)) (*.f64 x y))
(.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
70.3%	2	`x`
97.4%	3	`y`
90.0%	2	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
82.0%	2	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`
89.4%	3	`y`

Compiler

Compiled 8 to 8 computations (0% saved)

regimes4.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
#s(approx (* (* x y) (- 1 y)) (*.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
58.2%	1	`x`
58.2%	1	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`
58.2%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch56.0ms (1.2%)

Memory

-37.1MiB live, 18.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.0017253828507622128	240079.62303728194
43.0ms	-4310.5513652602085	-0.006149645670916006

Samples

32.0ms

288×

valid

Compiler

Compiled 388 to 335 computations (13.7% saved)

Precisions

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

ival-mult: 4.0ms (72.6% of total)

ival-sub: 1.0ms (18.2% 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

2.8MiB live, 2.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0017253828507622128	240079.62303728194
1.0ms	-4310.5513652602085	-0.006149645670916006

Compiler

Compiled 460 to 371 computations (19.3% saved)

simplify11.0ms (0.2%)

Memory

15.6MiB live, 15.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	98
1	46	98
2	65	98
3	79	98
4	84	98
5	85	98

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness836.0ms (17.3%)

Memory

-6.5MiB live, 413.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	60
1	93	60
2	236	60
3	606	60
4	1618	60
0	4642	60
0	31	166
0	56	128
1	193	111
2	1266	111
0	8500	111
0	6	13
0	9	13
1	29	13
2	139	13
3	1024	13
0	9488	12
0	27	45
1	71	42
2	153	42
3	440	42
4	1358	42
5	3788	42
6	5687	42
7	6854	42
8	7772	42
0	8095	42

Stop Event

1×	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×	iter limit
1×	node limit

Compiler

Compiled 195 to 103 computations (47.2% saved)

preprocess49.0ms (1%)

Memory: 0.7MiB live, 82.0MiB allocated
Remove: (negabs x)
Compiler: Compiled 264 to 106 computations (59.8% 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%)

sample758.0ms (15.7%)

explain63.0ms (1.3%)

preprocess24.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize15.0ms (0.3%)

series12.0ms (0.2%)

simplify90.0ms (1.9%)

rewrite132.0ms (2.7%)

eval51.0ms (1%)

prune11.0ms (0.2%)

simplify150.0ms (3.1%)

localize62.0ms (1.3%)

series25.0ms (0.5%)

simplify99.0ms (2.1%)

rewrite147.0ms (3%)

eval72.0ms (1.5%)

prune16.0ms (0.3%)

simplify89.0ms (1.8%)

localize87.0ms (1.8%)

series152.0ms (3.2%)

simplify342.0ms (7.1%)

rewrite503.0ms (10.4%)

eval87.0ms (1.8%)

prune16.0ms (0.3%)

simplify377.0ms (7.8%)

localize45.0ms (0.9%)

series11.0ms (0.2%)

simplify94.0ms (1.9%)

rewrite195.0ms (4%)

eval6.0ms (0.1%)

prune7.0ms (0.1%)

regimes17.0ms (0.3%)

regimes103.0ms (2.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch56.0ms (1.2%)

bsearch2.0ms (0%)

simplify11.0ms (0.2%)

soundness836.0ms (17.3%)

preprocess49.0ms (1%)

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