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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze1.0ms (0%)

Memory

-37.2MiB live, 1.4MiB 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)

sample828.0ms (14%)

Memory

31.7MiB live, 790.8MiB allocated

Samples

536.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 284.0ms

ival-mult: 190.0ms (67% of total)

ival-sub: 79.0ms (27.9% of total)

ival-true: 6.0ms (2.1% of total)

exact: 5.0ms (1.8% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain211.0ms (3.6%)

Memory

-11.9MiB live, 109.4MiB 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

129.0ms

512×

valid

Compiler

Compiled 91 to 46 computations (49.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 56.0ms

ival-mult: 52.0ms (92.6% of total)

ival-sub: 3.0ms (5.3% of total)

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

exact: 0.0ms (0% of total)

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

preprocess55.0ms (0.9%)

Memory

20.8MiB live, 58.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	43
1	56	37
2	222	35
3	743	35
4	1281	35
5	1901	35
6	1903	35
7	1903	35
0	6	7
0	9	7
1	17	7
2	40	7
3	80	7
4	170	7
5	247	7
6	355	7
7	546	7
8	664	7
9	705	7
0	705	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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune21.0ms (0.4%)

Memory

-35.1MiB live, 3.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify17.0ms (0.3%)

Memory

31.4MiB live, 31.4MiB 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	17	16
2	40	16
3	80	16
4	170	16
5	247	16
6	355	16
7	546	16
8	664	16
9	705	16
0	705	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)

localize56.0ms (0.9%)

Memory

-4.0MiB live, 33.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 x y)
accuracy	0.078125	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Samples

51.0ms

256×

valid

Compiler

Compiled 34 to 14 computations (58.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-sub: 3.0ms (45.5% of total)

ival-mult: 3.0ms (45.5% of total)

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

exact: 0.0ms (0% of total)

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

series49.0ms (0.8%)

Memory

-27.8MiB live, 15.7MiB allocated

Counts

3 → 60

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())

Inputs

#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())

#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())

#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())

Outputs
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor inf y) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf y) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())

Calls

6 calls:

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

simplify205.0ms (3.5%)

Memory

21.3MiB live, 132.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	287
1	70	266
2	165	266
3	263	266
4	635	266
5	2084	266
6	4141	266
7	5629	266
8	6507	266
9	7085	266
10	7712	266
0	8217	266

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

rewrite306.0ms (5.2%)

Memory

17.9MiB live, 215.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	30	13
2	165	13
3	1343	13
0	9562	12

Stop Event

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

Counts

3 → 425

Calls

Call 1

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

Outputs
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eval65.0ms (1.1%)

Memory: -0.7MiB live, 187.0MiB allocated
Compiler: Compiled 11 115 to 1 282 computations (88.5% saved)

prune12.0ms (0.2%)

Memory

14.9MiB live, 53.1MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	478	7	485
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	478	8	486

Accuracy

100.0%

Counts

486 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	87.1%	(fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x))
	90.9%	(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
▶	99.8%	(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y x)))
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
▶	65.3%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
▶	59.2%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))
▶	56.7%	#s(approx (* (* x y) (- 1 y)) (*.f64 y x))

Compiler

Compiled 127 to 102 computations (19.7% saved)

simplify48.0ms (0.8%)

Memory

-6.4MiB live, 31.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y x)
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	320	(fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- 1 y) (neg.f64 y))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	(.f64 (.f64 (neg.f64 y) y) x)
cost-diff	0	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))
cost-diff	0	(*.f64 y x)
cost-diff	0	#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
cost-diff	0	(*.f64 y x)
cost-diff	6848	(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	111
0	30	111
1	55	111
2	110	107
3	189	107
4	319	107
5	466	107
6	708	107
7	919	107
8	1179	107
9	1269	107
10	1291	107
11	1295	107
12	1298	107
13	1299	107
14	1299	107
0	1299	107

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize377.0ms (6.4%)

Memory

-149.6MiB live, 150.3MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (neg.f64 y) y)
accuracy	0	(*.f64 y x)
accuracy	0	(neg.f64 y)
accuracy	8.249773812123212	(fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x))
accuracy	0	(*.f64 x y)
accuracy	0	(neg.f64 y)
accuracy	0.078125	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
accuracy	31.764795815638504	#s(approx (- 1 y) (neg.f64 y))
accuracy	0	(*.f64 (neg.f64 y) y)
accuracy	0	(neg.f64 y)
accuracy	7.285440276505479	(.f64 (.f64 (neg.f64 y) y) x)
accuracy	22.130936712271552	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))
accuracy	0	(*.f64 y x)
accuracy	27.71390448041329	#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
accuracy	0	(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 y x)
accuracy	0.09765625	(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))

Samples

43.0ms

256×

valid

Compiler

Compiled 188 to 33 computations (82.4% saved)

Precisions

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

ival-mult: 10.0ms (53.1% of total)

ival-pow: 3.0ms (15.9% of total)

ival-div: 2.0ms (10.6% of total)

ival-add: 1.0ms (5.3% of total)

ival-sub: 1.0ms (5.3% of total)

ival-neg: 1.0ms (5.3% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.4%)

Memory

-4.6MiB live, 37.2MiB allocated

Counts

13 → 252

Calls

Call 1

Inputs
#s(alt (/.f64 (.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt #s(approx (* (* x y) (- 1 y)) (.f64 y x)) (patch #s(approx ( (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x)) (patch #s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (neg.f64 y) y) x) (patch (.f64 (.f64 (neg.f64 y) y) x) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 y) y) (patch (.f64 (neg.f64 y) y) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x)) (patch (fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x)) #<representation binary64>) () ())

Outputs
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
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#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x)) (patch (fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x)) (patch (fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (patch (/.f64 (.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (.f64 y x)) (patch #s(approx ( (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (.f64 y x)) (patch #s(approx ( (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (.f64 y x)) (patch #s(approx ( (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (.f64 y x)) (patch #s(approx ( (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x)) (patch #s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x)) (patch #s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x)) (patch #s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt #s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x)) (patch #s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 y) y) x) (patch (.f64 (.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 y) y) x) (patch (.f64 (.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 y) y) x) (patch (.f64 (.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (neg.f64 y) y) x) (patch (.f64 (.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor -inf x) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x)) (patch (fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x)) (patch (fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x)) (patch (fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x)) (patch (fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (- 1 y) (* (* x y) (- 1 y)) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (+ (* (* (neg y) y) x) (* y x)))
1.0ms	y	@	-inf	((/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (- 1 y) (* (* x y) (- 1 y)) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (+ (* (* (neg y) y) x) (* y x)))
1.0ms	y	@	inf	((/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (- 1 y) (* (* x y) (- 1 y)) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (+ (* (* (neg y) y) x) (* y x)))
1.0ms	y	@	0	((/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (- 1 y) (* (* x y) (- 1 y)) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (+ (* (* (neg y) y) x) (* y x)))
1.0ms	x	@	0	((/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (- 1 y) (* (* x y) (- 1 y)) (* (* x y) (- 1 y)) (* (* (neg y) y) x) (* (neg y) y) (neg y) (* (* x y) (- 1 y)) (* x y) (- 1 y) (+ (* (* (neg y) y) x) (* y x)))

simplify127.0ms (2.1%)

Memory

29.0MiB live, 225.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	1443
1	165	1328
2	387	1326
3	961	1326
4	2331	1326
5	4822	1326
6	7080	1326
0	8098	1324

Stop Event

1×	iter limit
1×	node limit

Counts

252 → 252

Calls

Call 1

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

Outputs
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (* y (+ 1 y)))
(fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64)))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -1 (* x (pow y 2)))
(.f64 (.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(.f64 (.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(.f64 (.f64 (neg.f64 y) y) x)
(* -1 (* x (pow y 2)))
(.f64 (.f64 (neg.f64 y) y) x)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* -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) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y)
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rewrite181.0ms (3.1%)

Memory

0.1MiB live, 233.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	85
0	30	85
1	94	81
2	517	81
3	5658	75
0	9208	70

Stop Event

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

Counts

13 → 857

Calls

Call 1

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

Outputs
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eval201.0ms (3.4%)

Memory: -17.5MiB live, 364.7MiB allocated
Compiler: Compiled 19 440 to 1 892 computations (90.3% saved)

prune71.0ms (1.2%)

Memory

8.0MiB live, 120.6MiB allocated

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	1 343	4	1 347
Fresh	0	2	2
Picked	1	4	5
Done	0	1	1
Total	1 344	11	1 355

Accuracy

100.0%

Counts

1 355 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.1%	(fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x))
▶	99.7%	(/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
▶	90.9%	(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
▶	65.3%	(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y x)))
▶	34.3%	(.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 x y)) #s(approx (- 1 y) (neg.f64 y)))
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	65.3%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓	59.2%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))
▶	24.0%	#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
✓	56.7%	#s(approx (* (* x y) (- 1 y)) (*.f64 y x))

Compiler

Compiled 152 to 122 computations (19.7% saved)

simplify156.0ms (2.6%)

Memory

-28.7MiB live, 213.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	(pow.f64 (*.f64 x y) #s(literal 2 binary64))
cost-diff	0	(.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 x y)) #s(approx (- 1 y) (neg.f64 y)))
cost-diff	7488	(/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y))
cost-diff	0	(*.f64 y x)
cost-diff	0	(*.f64 y y)
cost-diff	128	(+.f64 #s(literal -1 binary64) (*.f64 y y))
cost-diff	7040	(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) y)
cost-diff	0	#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
cost-diff	0	(*.f64 x y)
cost-diff	0	(pow.f64 (*.f64 x y) #s(literal -1 binary64))
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	6848	(/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	158
0	48	148
1	86	148
2	198	138
3	618	136
4	2979	136
5	5505	136
0	8095	135

Stop Event

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

Calls

Call 1

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

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

localize98.0ms (1.7%)

Memory

10.5MiB live, 185.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.078125	(.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (*.f64 x y)) #s(approx (- 1 y) (neg.f64 y)))
accuracy	0.19369125976844204	(pow.f64 (*.f64 x y) #s(literal 2 binary64))
accuracy	31.764795815638504	#s(approx (- 1 y) (neg.f64 y))
accuracy	33.681292527008566	(/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y))
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 y x)
accuracy	0.4875160347595068	(.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 y x))
accuracy	5.351494398115212	(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(*.f64 y x)
accuracy	0.09765625	(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
accuracy	31.932697304017772	#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
accuracy	0	(*.f64 (neg.f64 x) y)
accuracy	0	(neg.f64 x)
accuracy	48.60992979070804	#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 x y)
accuracy	0.2277528345231096	(/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (*.f64 x y) #s(literal -1 binary64)))
accuracy	0.2536595393307386	(pow.f64 (*.f64 x y) #s(literal -1 binary64))

Samples

79.0ms

256×

valid

Compiler

Compiled 276 to 53 computations (80.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-mult: 25.0ms (48.1% of total)

ival-div: 8.0ms (15.4% of total)

ival-pow: 7.0ms (13.5% of total)

ival-sub: 5.0ms (9.6% of total)

ival-pow2: 3.0ms (5.8% of total)

ival-neg: 2.0ms (3.8% of total)

ival-add: 1.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series31.0ms (0.5%)

Memory

-2.0MiB live, 74.5MiB allocated

Counts

19 → 372

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (.f64 x y) #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (.f64 x y) #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 x y) #s(literal -1 binary64)) (patch (pow.f64 (.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt #s(approx (* (* x y) (- 1 y)) (.f64 (neg.f64 x) y)) (patch #s(approx ( (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 x) y) (patch (.f64 (neg.f64 x) y) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())
#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())
#s(alt #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt (+.f64 #s(literal -1 binary64) (.f64 y y)) (patch (+.f64 #s(literal -1 binary64) (.f64 y y)) #<representation binary64>) () ())
#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())
#s(alt (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y)) (patch (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) (patch (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())

Outputs
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (.f64 x y) #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (.f64 x y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (.f64 x y) #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (.f64 x y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (.f64 x y) #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (.f64 x y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (.f64 x y) #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (.f64 x y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 y) (#s(alt (pow.f64 (.f64 x y) #s(literal -1 binary64)) (patch (pow.f64 (.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 y) (#s(alt (pow.f64 (.f64 x y) #s(literal -1 binary64)) (patch (pow.f64 (.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 y) (#s(alt (pow.f64 (.f64 x y) #s(literal -1 binary64)) (patch (pow.f64 (.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 y) (#s(alt (pow.f64 (.f64 x y) #s(literal -1 binary64)) (patch (pow.f64 (.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt #s(approx (* (* x y) (- 1 y)) (.f64 (neg.f64 x) y)) (patch #s(approx ( (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (* (* x y) (- 1 y)) (.f64 (neg.f64 x) y)) (patch #s(approx ( (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (* (* x y) (- 1 y)) (.f64 (neg.f64 x) y)) (patch #s(approx ( (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (* (* x y) (- 1 y)) (.f64 (neg.f64 x) y)) (patch #s(approx ( (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (.f64 (neg.f64 x) y) (patch (.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (.f64 (neg.f64 x) y) (patch (.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (.f64 (neg.f64 x) y) (patch (.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (.f64 (neg.f64 x) y) (patch (.f64 (neg.f64 x) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 y x) (patch (.f64 y x) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 y))) (taylor 0 y) (#s(alt #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* y (+ 1 y))))) (taylor 0 y) (#s(alt #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt -1 (taylor 0 y) (#s(alt (+.f64 #s(literal -1 binary64) (.f64 y y)) (patch (+.f64 #s(literal -1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (+.f64 #s(literal -1 binary64) (.f64 y y)) (patch (+.f64 #s(literal -1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (+.f64 #s(literal -1 binary64) (.f64 y y)) (patch (+.f64 #s(literal -1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (+.f64 #s(literal -1 binary64) (.f64 y y)) (patch (+.f64 #s(literal -1 binary64) (.f64 y y)) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (pow y 2) (taylor 0 y) (#s(alt (.f64 y y) (patch (.f64 y y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y)) (patch (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y)) (patch (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y)) (patch (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y)) (patch (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (pow.f64 (.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (pow.f64 (.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (pow.f64 (.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (pow.f64 (.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) (patch (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (* x (pow y 2)))) (taylor 0 y) (#s(alt (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) (patch (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (* x (pow y 2)))) (taylor 0 y) (#s(alt (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) (patch (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ (* -1 x) (* x (pow y 2)))) (taylor 0 y) (#s(alt (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) (patch (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (pow y 2))) (taylor inf y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (.f64 x y) #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (.f64 x y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (.f64 x y) #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (.f64 x y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (.f64 x y) #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (.f64 x y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (.f64 x y) #s(literal -1 binary64))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (pow.f64 (.f64 x y) #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor inf y) (#s(alt (pow.f64 (.f64 x y) #s(literal -1 binary64)) (patch (pow.f64 (.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor inf y) (#s(alt (pow.f64 (.f64 x y) #s(literal -1 binary64)) (patch (pow.f64 (.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor inf y) (#s(alt (pow.f64 (.f64 x y) #s(literal -1 binary64)) (patch (pow.f64 (.f64 x y) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (/.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 x y) #s(literal 2 binary64)) (patch (pow.f64 (.f64 x y) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- (pow y 2) 1))) (taylor -inf x) (#s(alt (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) (patch (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- (pow y 2) 1))) (taylor -inf x) (#s(alt (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) (patch (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- (pow y 2) 1))) (taylor -inf x) (#s(alt (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) (patch (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- (pow y 2) 1))) (taylor -inf x) (#s(alt (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) (patch (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	((/ (- 1 y) (pow (* x y) -1)) (- 1 y) (pow (* x y) -1) (* x y) (* (* x y) (- 1 y)) (* (neg x) y) (neg x) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (/ (* (+ -1 (* y y)) (* y x)) (- -1 y)) (+ -1 (* y y)) (* y y) (/ (pow (* x y) 2) (* x y)) (* (/ (pow (* x y) 2) (* x y)) (- 1 y)) (pow (* x y) 2) (* (+ -1 (* y y)) (* y x)) (- 1 y))
5.0ms	y	@	inf	((/ (- 1 y) (pow (* x y) -1)) (- 1 y) (pow (* x y) -1) (* x y) (* (* x y) (- 1 y)) (* (neg x) y) (neg x) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (/ (* (+ -1 (* y y)) (* y x)) (- -1 y)) (+ -1 (* y y)) (* y y) (/ (pow (* x y) 2) (* x y)) (* (/ (pow (* x y) 2) (* x y)) (- 1 y)) (pow (* x y) 2) (* (+ -1 (* y y)) (* y x)) (- 1 y))
4.0ms	x	@	-inf	((/ (- 1 y) (pow (* x y) -1)) (- 1 y) (pow (* x y) -1) (* x y) (* (* x y) (- 1 y)) (* (neg x) y) (neg x) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (/ (* (+ -1 (* y y)) (* y x)) (- -1 y)) (+ -1 (* y y)) (* y y) (/ (pow (* x y) 2) (* x y)) (* (/ (pow (* x y) 2) (* x y)) (- 1 y)) (pow (* x y) 2) (* (+ -1 (* y y)) (* y x)) (- 1 y))
3.0ms	x	@	0	((/ (- 1 y) (pow (* x y) -1)) (- 1 y) (pow (* x y) -1) (* x y) (* (* x y) (- 1 y)) (* (neg x) y) (neg x) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (/ (* (+ -1 (* y y)) (* y x)) (- -1 y)) (+ -1 (* y y)) (* y y) (/ (pow (* x y) 2) (* x y)) (* (/ (pow (* x y) 2) (* x y)) (- 1 y)) (pow (* x y) 2) (* (+ -1 (* y y)) (* y x)) (- 1 y))
3.0ms	y	@	-inf	((/ (- 1 y) (pow (* x y) -1)) (- 1 y) (pow (* x y) -1) (* x y) (* (* x y) (- 1 y)) (* (neg x) y) (neg x) (/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (/ -1 y) (/ (* (+ -1 (* y y)) (* y x)) (- -1 y)) (+ -1 (* y y)) (* y y) (/ (pow (* x y) 2) (* x y)) (* (/ (pow (* x y) 2) (* x y)) (- 1 y)) (pow (* x y) 2) (* (+ -1 (* y y)) (* y x)) (- 1 y))

simplify147.0ms (2.5%)

Memory

-15.4MiB live, 218.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	2055
1	212	1898
2	584	1875
3	1710	1875
4	4424	1875
5	7830	1875
0	8303	1864

Stop Event

1×	iter limit
1×	node limit

Counts

372 → 372

Calls

Call 1

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

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

rewrite197.0ms (3.3%)

Memory

11.2MiB live, 405.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	132
0	48	122
1	176	112
2	992	111
0	9193	110

Stop Event

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

Counts

19 → 2 003

Calls

Call 1

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

Outputs
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eval408.0ms (6.9%)

Memory: 34.9MiB live, 571.5MiB allocated
Compiler: Compiled 47 340 to 4 688 computations (90.1% saved)

prune250.0ms (4.2%)

Memory

-2.1MiB live, 165.1MiB allocated

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	2 832	8	2 840
Fresh	1	0	1
Picked	4	1	5
Done	0	5	5
Total	2 837	14	2 851

Accuracy

100.0%

Counts

2 851 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.1%	(fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x))
▶	99.6%	(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
▶	99.7%	(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
	56.6%	(/.f64 (.f64 #s(approx (+ -1 ( y y)) (.f64 y y)) (.f64 y x)) (-.f64 #s(literal -1 binary64) y))
▶	65.3%	(/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x))
	65.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (- 1 y) (neg.f64 y)) (.f64 x y))))
▶	65.3%	(*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y)
▶	17.3%	(.f64 (.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y)))) #s(approx (- 1 y) (neg.f64 y)))
	38.7%	(.f64 (.f64 #s(approx (- 1 y) (neg.f64 y)) (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)))
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	65.3%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓	59.2%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))
✓	24.0%	#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
✓	56.7%	#s(approx (* (* x y) (- 1 y)) (*.f64 y x))

Compiler

Compiled 217 to 167 computations (23% saved)

simplify120.0ms (2%)

Memory

-8.6MiB live, 109.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y)))) #s(approx (- 1 y) (neg.f64 y)))
cost-diff	8384	(.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y))))
cost-diff	0	(neg.f64 y)
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	6848	(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
cost-diff	0	(/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)
cost-diff	384	(/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
cost-diff	0	(/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
cost-diff	0	(*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y)
cost-diff	-5760	(/.f64 #s(literal 1 binary64) (*.f64 x y))
cost-diff	0	(*.f64 x y)
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	6848	(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	27	197
0	46	184
1	82	180
2	193	176
3	615	175
4	2169	169
5	4716	169
6	6734	169
0	8021	169

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 x y)
x
(*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y)
(/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
x
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
y
(/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x))
y
(/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
x
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
(-.f64 #s(literal 1 binary64) y)
#s(literal 1 binary64)
y
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
x
(neg.f64 y)
(.f64 (.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y)))) #s(approx (- 1 y) (neg.f64 y)))
(.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y))))
(*.f64 x y)
x
y
(.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y)))
(pow.f64 (*.f64 x y) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(sqrt.f64 (*.f64 x y))
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)

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

localize94.0ms (1.6%)

Memory

16.9MiB live, 91.7MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.140625	(.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y)))
accuracy	7.8022218111265484	(sqrt.f64 (*.f64 x y))
accuracy	7.821691291325505	(pow.f64 (*.f64 x y) #s(literal -1/2 binary64))
accuracy	15.46395865520252	#s(approx (- 1 y) (neg.f64 y))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(neg.f64 y)
accuracy	0.0703125	(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
accuracy	0.078125	(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0.05078125	(/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)
accuracy	0.08203125	(/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x))
accuracy	15.63290082956087	#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0.04296875	(/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
accuracy	0.04296875	(*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y)
accuracy	15.63290082956087	#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 x y)
accuracy	0.078125	(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
accuracy	0.17944078933073862	(/.f64 #s(literal 1 binary64) (*.f64 x y))

Samples

42.0ms	123×	0	valid
33.0ms	133×	0	invalid

Compiler

Compiled 330 to 51 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-div: 14.0ms (43.4% of total)

ival-mult: 7.0ms (21.7% of total)

ival-pow: 6.0ms (18.6% of total)

ival-sub: 2.0ms (6.2% of total)

ival-sqrt: 2.0ms (6.2% of total)

ival-neg: 1.0ms (3.1% of total)

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

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

exact: 0.0ms (0% of total)

series57.0ms (1%)

Memory

-3.1MiB live, 35.3MiB allocated

Counts

20 → 408

Calls

Call 1

Inputs
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x y))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y) (patch (.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())
#s(alt #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) (patch (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) (patch (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y)))) (patch (.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y)))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y)))) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y)))) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y))) (patch (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y))) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation binary64>) () ())
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 x y)) (patch (sqrt.f64 (.f64 x y)) #<representation binary64>) () ())

Outputs
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x y))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x y))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x y))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x y))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* -1 y)) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 x y)) (patch (/.f64 #s(literal 1 binary64) (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y) (patch (.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y) (patch (.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y) (patch (.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y) (patch (.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 y))) (taylor 0 y) (#s(alt #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* y (+ 1 y))))) (taylor 0 y) (#s(alt #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (/ -1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
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#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y) (patch (.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) (patch (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) (patch (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) (patch (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) (patch (/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (- 1 y))) (taylor -inf x) (#s(alt (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) (patch (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (- 1 y))) (taylor -inf x) (#s(alt (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) (patch (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (- 1 y))) (taylor -inf x) (#s(alt (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) (patch (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x (- 1 y))) (taylor -inf x) (#s(alt (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) (patch (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) (patch (/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (* y (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y)))) (patch (.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y)))) (patch (.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y)))) (patch (.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y)))) (patch (.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y)))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (* (pow (sqrt -1) 2) (- 1 y)))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y)))) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y)))) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (* (pow (sqrt -1) 2) (- 1 y)))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y)))) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y)))) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (* (pow (sqrt -1) 2) (- 1 y)))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y)))) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y)))) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* x (* y (* (pow (sqrt -1) 2) (- 1 y)))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y)))) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y)))) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (pow (sqrt -1) 2) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y))) (patch (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (pow (sqrt -1) 2) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y))) (patch (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (pow (sqrt -1) 2) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y))) (patch (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (pow (sqrt -1) 2) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y))) (patch (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (/ 1 (* x y)) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) (patch (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 (* x y))) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (patch (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x y)) (patch (sqrt.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x y)) (patch (sqrt.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x y)) (patch (sqrt.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 x y)) (patch (sqrt.f64 (.f64 x y)) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
31.0ms	x	@	inf	((/ (- 1 y) (/ 1 (* x y))) (- 1 y) (* x y) (/ 1 (* x y)) (* (/ x (pow (- 1 y) -1)) y) (/ x (pow (- 1 y) -1)) (pow (- 1 y) -1) (/ -1 y) (/ y (/ (pow (- 1 y) -1) x)) (/ (pow (- 1 y) -1) x) (/ (- 1 y) (/ (/ -1 x) (neg y))) (/ -1 x) (neg y) (* (* x y) (* (pow (* x y) -1/2) (sqrt (* x y)))) (* (* (* x y) (* (pow (* x y) -1/2) (sqrt (* x y)))) (- 1 y)) (* (pow (* x y) -1/2) (sqrt (* x y))) (/ (/ -1 x) (neg y)) (- 1 y) (pow (* x y) -1/2) (sqrt (* x y)))
5.0ms	x	@	-inf	((/ (- 1 y) (/ 1 (* x y))) (- 1 y) (* x y) (/ 1 (* x y)) (* (/ x (pow (- 1 y) -1)) y) (/ x (pow (- 1 y) -1)) (pow (- 1 y) -1) (/ -1 y) (/ y (/ (pow (- 1 y) -1) x)) (/ (pow (- 1 y) -1) x) (/ (- 1 y) (/ (/ -1 x) (neg y))) (/ -1 x) (neg y) (* (* x y) (* (pow (* x y) -1/2) (sqrt (* x y)))) (* (* (* x y) (* (pow (* x y) -1/2) (sqrt (* x y)))) (- 1 y)) (* (pow (* x y) -1/2) (sqrt (* x y))) (/ (/ -1 x) (neg y)) (- 1 y) (pow (* x y) -1/2) (sqrt (* x y)))
4.0ms	y	@	-inf	((/ (- 1 y) (/ 1 (* x y))) (- 1 y) (* x y) (/ 1 (* x y)) (* (/ x (pow (- 1 y) -1)) y) (/ x (pow (- 1 y) -1)) (pow (- 1 y) -1) (/ -1 y) (/ y (/ (pow (- 1 y) -1) x)) (/ (pow (- 1 y) -1) x) (/ (- 1 y) (/ (/ -1 x) (neg y))) (/ -1 x) (neg y) (* (* x y) (* (pow (* x y) -1/2) (sqrt (* x y)))) (* (* (* x y) (* (pow (* x y) -1/2) (sqrt (* x y)))) (- 1 y)) (* (pow (* x y) -1/2) (sqrt (* x y))) (/ (/ -1 x) (neg y)) (- 1 y) (pow (* x y) -1/2) (sqrt (* x y)))
2.0ms	x	@	0	((/ (- 1 y) (/ 1 (* x y))) (- 1 y) (* x y) (/ 1 (* x y)) (* (/ x (pow (- 1 y) -1)) y) (/ x (pow (- 1 y) -1)) (pow (- 1 y) -1) (/ -1 y) (/ y (/ (pow (- 1 y) -1) x)) (/ (pow (- 1 y) -1) x) (/ (- 1 y) (/ (/ -1 x) (neg y))) (/ -1 x) (neg y) (* (* x y) (* (pow (* x y) -1/2) (sqrt (* x y)))) (* (* (* x y) (* (pow (* x y) -1/2) (sqrt (* x y)))) (- 1 y)) (* (pow (* x y) -1/2) (sqrt (* x y))) (/ (/ -1 x) (neg y)) (- 1 y) (pow (* x y) -1/2) (sqrt (* x y)))
2.0ms	y	@	0	((/ (- 1 y) (/ 1 (* x y))) (- 1 y) (* x y) (/ 1 (* x y)) (* (/ x (pow (- 1 y) -1)) y) (/ x (pow (- 1 y) -1)) (pow (- 1 y) -1) (/ -1 y) (/ y (/ (pow (- 1 y) -1) x)) (/ (pow (- 1 y) -1) x) (/ (- 1 y) (/ (/ -1 x) (neg y))) (/ -1 x) (neg y) (* (* x y) (* (pow (* x y) -1/2) (sqrt (* x y)))) (* (* (* x y) (* (pow (* x y) -1/2) (sqrt (* x y)))) (- 1 y)) (* (pow (* x y) -1/2) (sqrt (* x y))) (/ (/ -1 x) (neg y)) (- 1 y) (pow (* x y) -1/2) (sqrt (* x y)))

simplify143.0ms (2.4%)

Memory

-13.0MiB live, 105.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	2371
1	305	2123
2	875	2069
3	2479	2057
4	6887	2057
0	8033	2053

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 407

Calls

Call 1

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

rewrite184.0ms (3.1%)

Memory

2.0MiB live, 151.2MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	161
0	46	148
1	164	124
2	862	124
3	6889	124
0	8700	124

Stop Event

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

Counts

20 → 1 532

Calls

Call 1

Inputs
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
(-.f64 #s(literal 1 binary64) y)
(*.f64 x y)
(/.f64 #s(literal 1 binary64) (*.f64 x y))
(*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y)
(/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
(/.f64 #s(literal -1 binary64) y)
(/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x))
(/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x)
(/.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y)))
(/.f64 #s(literal -1 binary64) x)
(neg.f64 y)
(.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y))))
(.f64 (.f64 (.f64 x y) (.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (.f64 x y)))) #s(approx (- 1 y) (neg.f64 y)))
(.f64 (pow.f64 (.f64 x y) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 x y)))
(/.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 y))
#s(approx (- 1 y) (neg.f64 y))
(pow.f64 (*.f64 x y) #s(literal -1/2 binary64))
(sqrt.f64 (*.f64 x y))

Outputs
#<batchref>
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#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
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eval375.0ms (6.3%)

Memory: 22.0MiB live, 387.4MiB allocated
Compiler: Compiled 42 259 to 3 955 computations (90.6% saved)

prune57.0ms (1%)

Memory

-20.5MiB live, 141.5MiB allocated

Pruning

14 alts after pruning (6 fresh and 8 done)

	Pruned	Kept	Total
New	2 480	3	2 483
Fresh	0	3	3
Picked	3	2	5
Done	0	6	6
Total	2 483	14	2 497

Accuracy

100.0%

Counts

2 497 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	87.1%	(fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x))
	34.8%	(/.f64 (-.f64 (.f64 #s(literal 0 binary64) (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))) (.f64 (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) y)) (*.f64 (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x)) (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) (neg.f64 x))))
	56.6%	(/.f64 (.f64 #s(approx (+ -1 ( y y)) (.f64 y y)) (.f64 y x)) (-.f64 #s(literal -1 binary64) y))
	65.3%	(/.f64 #s(approx (- 1 y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) (*.f64 x y)))
✓	65.3%	(/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x))
	65.3%	(/.f64 y #s(approx (/ (pow (- 1 y) -1) x) (/.f64 (/.f64 #s(literal -1 binary64) x) y)))
	65.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(approx (- 1 y) (neg.f64 y)) (.f64 x y))))
✓	65.3%	(*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y)
	38.7%	(.f64 (.f64 #s(approx (- 1 y) (neg.f64 y)) (sqrt.f64 (.f64 x y))) (sqrt.f64 (.f64 x y)))
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	65.3%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓	59.2%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))
✓	24.0%	#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
✓	56.7%	#s(approx (* (* x y) (- 1 y)) (*.f64 y x))

Compiler

Compiled 386 to 172 computations (55.4% saved)

regimes20.0ms (0.3%)

Memory

30.8MiB live, 30.8MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

3 calls:

7.0ms	x
6.0ms	y
6.0ms	(.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)

regimes25.0ms (0.4%)

Memory

-47.4MiB live, 15.7MiB allocated

Counts

4 → 3

Calls

Call 1

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

Calls

3 calls:

20.0ms	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
75.8%	4	`x`
98.1%	3	`y`
89.4%	2	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory

3.1MiB live, 3.1MiB allocated

Counts

3 → 3

Calls

Call 1

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
92.0%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes5.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated

Counts

2 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
56.7%	1	`x`
56.7%	1	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`
64.3%	2	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes3.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
56.7%	1	`x`
56.7%	1	`y`

Compiler

Compiled 2 to 4 computations (-100% saved)

bsearch25.0ms (0.4%)

Memory

-9.1MiB live, 29.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.7386817013662248e-15	19.284957673673215
11.0ms	-1404.6598494541972	-0.6054304413452645

Samples

12.0ms

288×

valid

Compiler

Compiled 208 to 227 computations (-9.1% saved)

Precisions

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

ival-mult: 4.0ms (70.5% of total)

ival-sub: 1.0ms (17.6% 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	1.7386817013662248e-15	19.284957673673215
1.0ms	-1404.6598494541972	-0.6054304413452645

Compiler

Compiled 208 to 227 computations (-9.1% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.7386817013662248e-15	19.284957673673215

Compiler

Compiled 100 to 121 computations (-21% saved)

simplify26.0ms (0.4%)

Memory

0.3MiB live, 38.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	131
1	45	131
2	60	131
3	72	131
4	76	131
5	77	131

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness599.0ms (10.1%)

Memory

5.0MiB live, 237.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	287
1	70	266
2	165	266
3	263	266
4	635	266
5	2084	266
6	4141	266
7	5629	266
8	6507	266
9	7085	266
10	7712	266
0	8217	266
0	20	85
0	30	85
1	94	81
2	517	81
3	5658	75
0	9208	70

Stop Event

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

Compiler

Compiled 103 to 49 computations (52.4% saved)

preprocess42.0ms (0.7%)

Memory: 10.3MiB live, 86.7MiB allocated
Remove: (negabs x)
Compiler: Compiled 194 to 84 computations (56.7% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	16
0	9	16
1	17	16
2	40	16
3	80	16
4	170	16
5	247	16
6	355	16
7	546	16
8	664	16
9	705	16
0	705	16

Iter	Nodes	Cost
0	6	16
0	9	16
1	17	16
2	40	16
3	80	16
4	170	16
5	247	16
6	355	16
7	546	16
8	664	16
9	705	16
0	705	16

start0.0ms (0%)

analyze1.0ms (0%)

sample828.0ms (14%)

explain211.0ms (3.6%)

preprocess55.0ms (0.9%)

eval0.0ms (0%)

prune21.0ms (0.4%)

simplify17.0ms (0.3%)

localize56.0ms (0.9%)

series49.0ms (0.8%)

simplify205.0ms (3.5%)

rewrite306.0ms (5.2%)

eval65.0ms (1.1%)

prune12.0ms (0.2%)

simplify48.0ms (0.8%)

localize377.0ms (6.4%)

series27.0ms (0.4%)

simplify127.0ms (2.1%)

rewrite181.0ms (3.1%)

eval201.0ms (3.4%)

prune71.0ms (1.2%)

simplify156.0ms (2.6%)

localize98.0ms (1.7%)

series31.0ms (0.5%)

simplify147.0ms (2.5%)

rewrite197.0ms (3.3%)

eval408.0ms (6.9%)

prune250.0ms (4.2%)

simplify120.0ms (2%)

localize94.0ms (1.6%)

series57.0ms (1%)

simplify143.0ms (2.4%)

rewrite184.0ms (3.1%)

eval375.0ms (6.3%)

prune57.0ms (1%)

regimes20.0ms (0.3%)

regimes25.0ms (0.4%)

regimes2.0ms (0%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

bsearch25.0ms (0.4%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

simplify26.0ms (0.4%)

soundness599.0ms (10.1%)

preprocess42.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	16
0	9	16
1	17	16
2	40	16
3	80	16
4	170	16
5	247	16
6	355	16
7	546	16
8	664	16
9	705	16
0	705	16