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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.9MiB live, 1.9MiB 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)

sample1.1s (15.6%)

Memory

-9.5MiB live, 1 025.0MiB allocated

Samples

885.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 375.0ms

ival-mult: 237.0ms (63.2% of total)

ival-sub: 123.0ms (32.8% of total)

ival-true: 7.0ms (1.9% of total)

exact: 5.0ms (1.3% of total)

ival-assert: 3.0ms (0.8% of total)

Bogosity

explain58.0ms (0.8%)

Memory

10.7MiB live, 123.8MiB 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

24.0ms

512×

valid

Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 6.0ms (50.8% of total)

ival-sub: 4.0ms (33.9% of total)

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

exact: 0.0ms (0% of total)

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

preprocess62.0ms (0.9%)

Memory

-2.4MiB live, 77.4MiB 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)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

simplify21.0ms (0.3%)

Memory

-0.6MiB live, 37.0MiB 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)

localize16.0ms (0.2%)

Memory

32.1MiB live, 32.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 x y)
accuracy	0.05859375	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Samples

11.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-mult: 3.0ms (61.6% of total)

ival-sub: 1.0ms (20.5% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

-5.9MiB live, 31.7MiB 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
3.0ms	y	@	0	((* (* x y) (- 1 y)) (* x y) (- 1 y))
2.0ms	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))

simplify160.0ms (2.3%)

Memory

-40.5MiB live, 211.6MiB 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)

rewrite174.0ms (2.5%)

Memory

16.0MiB live, 210.4MiB 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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eval56.0ms (0.8%)

Memory: 13.3MiB live, 134.7MiB allocated
Compiler: Compiled 11 115 to 1 282 computations (88.5% saved)

prune47.0ms (0.7%)

Memory

4.8MiB live, 43.1MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	477	8	485
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	477	9	486

Accuracy

100.0%

Counts

486 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	30.7%	(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) (pow.f64 (.f64 y x) #s(literal 2 binary64))) (-.f64 (.f64 (.f64 (neg.f64 y) y) x) (.f64 y x)))
	99.9%	(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
▶	88.6%	(/.f64 (neg.f64 (*.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) y))
▶	29.5%	(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (*.f64 (neg.f64 y) y) x))))
▶	99.9%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
▶	64.7%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
	61.1%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))
▶	59.4%	#s(approx (* (* x y) (- 1 y)) (*.f64 y x))

Compiler

Compiled 203 to 138 computations (32% saved)

simplify118.0ms (1.7%)

Memory

-7.0MiB live, 149.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	128	(pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))
cost-diff	576	(-.f64 (.f64 y x) (.f64 (*.f64 (neg.f64 y) y) x))
cost-diff	6464	(-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (*.f64 (neg.f64 y) y) x) #s(literal 2 binary64)))
cost-diff	8896	(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (*.f64 (neg.f64 y) y) x))))
cost-diff	0	(-.f64 y (pow.f64 y #s(literal 3 binary64)))
cost-diff	0	(*.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)
cost-diff	128	(neg.f64 (*.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x))
cost-diff	7040	(/.f64 (neg.f64 (*.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) y))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- 1 y) (neg.f64 y))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
cost-diff	0	(*.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	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
cost-diff	0	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	194
0	53	165
1	104	163
2	260	161
3	866	158
4	3393	158
0	8332	156

Stop Event

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

Calls

Call 1

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

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

localize179.0ms (2.5%)

Memory

-16.1MiB live, 120.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	4.199218750000001	(-.f64 (.f64 y x) (.f64 (*.f64 (neg.f64 y) y) x))
accuracy	6.553106895243679	(.f64 (.f64 (neg.f64 y) y) x)
accuracy	20.597491116416478	(-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (*.f64 (neg.f64 y) y) x) #s(literal 2 binary64)))
accuracy	43.13442183013375	(.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (*.f64 (neg.f64 y) y) x))))
accuracy	0	(-.f64 #s(literal -1 binary64) y)
accuracy	0	(neg.f64 (*.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x))
accuracy	2.142139085429169	(*.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)
accuracy	5.114774735448443	(/.f64 (neg.f64 (*.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) y))
accuracy	0	(*.f64 x y)
accuracy	0	(neg.f64 y)
accuracy	0.05859375	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
accuracy	31.48983796133468	#s(approx (- 1 y) (neg.f64 y))
accuracy	0	(*.f64 y x)
accuracy	25.98753742955946	#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy	0.0625	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)

Samples

116.0ms

256×

valid

Compiler

Compiled 186 to 29 computations (84.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 36.0ms (43.2% of total)

ival-sub: 32.0ms (38.4% of total)

ival-pow2: 5.0ms (6% of total)

ival-pow: 4.0ms (4.8% of total)

ival-div: 3.0ms (3.6% of total)

ival-neg: 2.0ms (2.4% of total)

exact: 1.0ms (1.2% of total)

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

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

series44.0ms (0.6%)

Memory

24.5MiB live, 61.2MiB allocated

Counts

19 → 396

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (.f64 (-.f64 #s(literal 1 binary64) y) x) #<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 (.f64 y x) (patch (.f64 y x) #<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 (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (/.f64 (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (patch (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) (patch (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) #<representation binary64>) () ())
#s(alt (-.f64 y (pow.f64 y #s(literal 3 binary64))) (patch (-.f64 y (pow.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) (patch (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) #<representation binary64>) () ())
#s(alt (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (-.f64 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (neg.f64 y) y) x) (patch (.f64 (.f64 (neg.f64 y) y) x) #<representation binary64>) () ())

Outputs
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt x (taylor 0 y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (.f64 (-.f64 #s(literal 1 binary64) y) x) #<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 #s(approx (* (* x y) (- 1 y)) (.f64 y x)) (patch #s(approx ( (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#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 (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#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 (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#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) (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 (* x y) (taylor 0 y) (#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 (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#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 (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#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 (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#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 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 #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 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (patch (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* x (pow y 2)) x)) (taylor 0 y) (#s(alt (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (patch (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* x (pow y 2)) x)) (taylor 0 y) (#s(alt (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (patch (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* x (pow y 2)) x)) (taylor 0 y) (#s(alt (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (patch (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) (patch (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x (pow y 2))))) (taylor 0 y) (#s(alt (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) (patch (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x (pow y 2))))) (taylor 0 y) (#s(alt (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) (patch (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x (pow y 2))))) (taylor 0 y) (#s(alt (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) (patch (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (-.f64 y (pow.f64 y #s(literal 3 binary64))) (patch (-.f64 y (pow.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (pow y 2)))) (taylor 0 y) (#s(alt (-.f64 y (pow.f64 y #s(literal 3 binary64))) (patch (-.f64 y (pow.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (pow y 2)))) (taylor 0 y) (#s(alt (-.f64 y (pow.f64 y #s(literal 3 binary64))) (patch (-.f64 y (pow.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 (pow y 2)))) (taylor 0 y) (#s(alt (-.f64 y (pow.f64 y #s(literal 3 binary64))) (patch (-.f64 y (pow.f64 y #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) (patch (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) (patch (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) (patch (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) (patch (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))) (taylor 0 y) (#s(alt (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))) (taylor 0 y) (#s(alt (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))) (taylor 0 y) (#s(alt (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x y))) (taylor 0 y) (#s(alt (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x y))) (taylor 0 y) (#s(alt (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x y))) (taylor 0 y) (#s(alt (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 4)) (taylor 0 y) (#s(alt (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 4)) (taylor 0 y) (#s(alt (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 4)) (taylor 0 y) (#s(alt (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 4)) (taylor 0 y) (#s(alt (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 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 y) 1) (taylor 0 y) (#s(alt (-.f64 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (- (* -1 y) 1) (taylor 0 y) (#s(alt (-.f64 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ())
#s(alt (- (* -1 y) 1) (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 0 y) (#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 0 y) (#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 0 y) (#s(alt (.f64 (.f64 (neg.f64 y) y) x) (patch (.f64 (.f64 (neg.f64 y) y) x) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (- (pow y 2) (pow y 4))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (pow y 2) (pow y 4))) (taylor inf x) (#s(alt (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (- y (* -1 (pow y 2)))) (taylor inf x) (#s(alt (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y (* -1 (pow y 2)))) (taylor inf x) (#s(alt (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y (* -1 (pow y 2)))) (taylor inf x) (#s(alt (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y (* -1 (pow y 2)))) (taylor inf x) (#s(alt (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 4)) (taylor inf x) (#s(alt (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 4)) (taylor inf x) (#s(alt (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 4)) (taylor inf x) (#s(alt (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 4)) (taylor inf x) (#s(alt (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) #<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 (-.f64 #s(literal 1 binary64) y) x) y) (patch (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ())) ())
#s(alt (* x (- 1 y)) (taylor -inf x) (#s(alt (.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (.f64 (-.f64 #s(literal 1 binary64) 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) (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 (.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 (/ (* x (- y (pow y 3))) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y (pow y 3))) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y (pow y 3))) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y (pow y 3))) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y (pow y 3)))) (taylor -inf x) (#s(alt (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (patch (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y (pow y 3)))) (taylor -inf x) (#s(alt (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (patch (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y (pow y 3)))) (taylor -inf x) (#s(alt (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (patch (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y (pow y 3)))) (taylor -inf x) (#s(alt (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) (patch (neg.f64 (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x)) #<representation binary64>) () ())) ())
#s(alt (* x (- y (pow y 3))) (taylor -inf x) (#s(alt (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) (patch (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (- y (pow y 3))) (taylor -inf x) (#s(alt (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) (patch (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (- y (pow y 3))) (taylor -inf x) (#s(alt (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) (patch (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* x (- y (pow y 3))) (taylor -inf x) (#s(alt (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) (patch (.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (pow y 2) (pow y 4))) (- (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) (patch (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (pow y 2) (pow y 4))) (- (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) (patch (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (pow y 2) (pow y 4))) (- (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) (patch (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (- (pow y 2) (pow y 4))) (- (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) (patch (.f64 (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (pow y 2) (pow y 4))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (pow y 2) (pow y 4))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (pow y 2) (pow y 4))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (pow y 2) (pow y 4))) (taylor -inf x) (#s(alt (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) (patch (-.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 4)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 4)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 4)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 4)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 2 binary64)) #<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>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* y x) (* (* x y) (- 1 y)) (* x y) (- 1 y) (neg y) (/ (neg (* (- y (pow y 3)) x)) (- -1 y)) (neg (* (- y (pow y 3)) x)) (* (- y (pow y 3)) x) (- y (pow y 3)) (* (- (pow (* y x) 2) (pow (* (* (neg y) y) x) 2)) (/ 1 (- (* y x) (* (* (neg y) y) x)))) (- (pow (* y x) 2) (pow (* (* (neg y) y) x) 2)) (- (* y x) (* (* (neg y) y) x)) (pow (* (* (neg y) y) x) 2) (- -1 y) (* (* (neg y) y) x))
8.0ms	x	@	-inf	((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* y x) (* (* x y) (- 1 y)) (* x y) (- 1 y) (neg y) (/ (neg (* (- y (pow y 3)) x)) (- -1 y)) (neg (* (- y (pow y 3)) x)) (* (- y (pow y 3)) x) (- y (pow y 3)) (* (- (pow (* y x) 2) (pow (* (* (neg y) y) x) 2)) (/ 1 (- (* y x) (* (* (neg y) y) x)))) (- (pow (* y x) 2) (pow (* (* (neg y) y) x) 2)) (- (* y x) (* (* (neg y) y) x)) (pow (* (* (neg y) y) x) 2) (- -1 y) (* (* (neg y) y) x))
5.0ms	y	@	inf	((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* y x) (* (* x y) (- 1 y)) (* x y) (- 1 y) (neg y) (/ (neg (* (- y (pow y 3)) x)) (- -1 y)) (neg (* (- y (pow y 3)) x)) (* (- y (pow y 3)) x) (- y (pow y 3)) (* (- (pow (* y x) 2) (pow (* (* (neg y) y) x) 2)) (/ 1 (- (* y x) (* (* (neg y) y) x)))) (- (pow (* y x) 2) (pow (* (* (neg y) y) x) 2)) (- (* y x) (* (* (neg y) y) x)) (pow (* (* (neg y) y) x) 2) (- -1 y) (* (* (neg y) y) x))
5.0ms	x	@	inf	((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* y x) (* (* x y) (- 1 y)) (* x y) (- 1 y) (neg y) (/ (neg (* (- y (pow y 3)) x)) (- -1 y)) (neg (* (- y (pow y 3)) x)) (* (- y (pow y 3)) x) (- y (pow y 3)) (* (- (pow (* y x) 2) (pow (* (* (neg y) y) x) 2)) (/ 1 (- (* y x) (* (* (neg y) y) x)))) (- (pow (* y x) 2) (pow (* (* (neg y) y) x) 2)) (- (* y x) (* (* (neg y) y) x)) (pow (* (* (neg y) y) x) 2) (- -1 y) (* (* (neg y) y) x))
3.0ms	y	@	-inf	((* (* (- 1 y) x) y) (* (- 1 y) x) (- 1 y) (* (* x y) (- 1 y)) (* y x) (* (* x y) (- 1 y)) (* x y) (- 1 y) (neg y) (/ (neg (* (- y (pow y 3)) x)) (- -1 y)) (neg (* (- y (pow y 3)) x)) (* (- y (pow y 3)) x) (- y (pow y 3)) (* (- (pow (* y x) 2) (pow (* (* (neg y) y) x) 2)) (/ 1 (- (* y x) (* (* (neg y) y) x)))) (- (pow (* y x) 2) (pow (* (* (neg y) y) x) 2)) (- (* y x) (* (* (neg y) y) x)) (pow (* (* (neg y) y) x) 2) (- -1 y) (* (* (neg y) y) x))

simplify196.0ms (2.8%)

Memory

-18.6MiB live, 170.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	103	2795
1	316	2528
2	834	2435
3	3228	2435
4	7280	2435
0	8078	2402

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 394

Calls

Call 1

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

rewrite350.0ms (5%)

Memory

10.8MiB live, 241.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	150
0	53	128
1	192	128
2	1247	121
0	9211	116

Stop Event

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

Counts

19 → 2 088

Calls

Call 1

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

Outputs
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eval496.0ms (7.1%)

Memory: 54.6MiB live, 623.9MiB allocated
Compiler: Compiled 80 009 to 4 326 computations (94.6% saved)

prune99.0ms (1.4%)

Memory

-38.2MiB live, 157.4MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	2 675	4	2 679
Fresh	2	1	3
Picked	2	3	5
Done	0	1	1
Total	2 679	9	2 688

Accuracy

100.0%

Counts

2 688 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
▶	53.7%	(/.f64 #s(approx (neg (* (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 #s(literal -1 binary64) y))
▶	27.5%	(.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (*.f64 (neg.f64 y) y) x))))
✓	99.9%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
▶	38.5%	(.f64 (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) #s(approx (- 1 y) (neg.f64 y)))
▶	61.1%	(.f64 (.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	64.7%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓	59.4%	#s(approx (* (* x y) (- 1 y)) (*.f64 y x))

Compiler

Compiled 163 to 116 computations (28.8% saved)

simplify137.0ms (1.9%)

Memory

-13.3MiB live, 97.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 (neg.f64 y) y) x)
cost-diff	576	(-.f64 (.f64 y x) (.f64 (*.f64 (neg.f64 y) y) x))
cost-diff	1344	(.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (*.f64 (neg.f64 y) y) x))))
cost-diff	6784	(fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
cost-diff	0	(pow.f64 y #s(literal 3 binary64))
cost-diff	0	(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
cost-diff	0	#s(approx (neg (* (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))
cost-diff	0	(/.f64 #s(approx (neg (* (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 #s(literal -1 binary64) y))
cost-diff	0	(*.f64 x y)
cost-diff	0	(sqrt.f64 (*.f64 x y))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) #s(approx (- 1 y) (neg.f64 y)))
cost-diff	1920	(.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (*.f64 x y)))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- 1 y) (neg.f64 y))
cost-diff	0	(*.f64 #s(approx (- 1 y) (neg.f64 y)) y)
cost-diff	0	(.f64 (.f64 #s(approx (- 1 y) (neg.f64 y)) 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: 0 (0.0ms)

Iter	Nodes	Cost
0	37	248
0	62	230
1	122	219
2	279	209
3	917	207
4	2810	205
5	6495	203
0	8309	200

Stop Event

1×	iter limit
1×	node limit
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)
(.f64 (.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
(*.f64 #s(approx (- 1 y) (neg.f64 y)) y)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
x
(.f64 (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) #s(approx (- 1 y) (neg.f64 y)))
(.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
(/.f64 #s(approx (neg (* (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 #s(literal -1 binary64) y))
#s(approx (neg (* (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))
(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
(pow.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
x
(-.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (*.f64 (neg.f64 y) y) x))))
(fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 (neg.f64 y) y) x) x)
(.f64 (.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
x
(*.f64 y y)
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (*.f64 (neg.f64 y) y) x)))
#s(literal 1 binary64)
(-.f64 (.f64 y x) (.f64 (*.f64 (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)
(.f64 (.f64 #s(approx (- 1 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)) y)
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
y
x
(.f64 (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) #s(approx (- 1 y) (neg.f64 y)))
(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (*.f64 x y)))
(*.f64 x y)
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
x
y
#s(approx (- 1 y) (neg.f64 y))
(neg.f64 y)
(/.f64 #s(approx (neg (* (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 #s(literal -1 binary64) y))
#s(approx (neg (* (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))
(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
(pow.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
x
(-.f64 #s(literal -1 binary64) y)
#s(literal -1 binary64)
(.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (*.f64 (neg.f64 y) y) x))))
(/.f64 (.f64 (.f64 x x) (-.f64 y (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x y x))
(fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(.f64 (fma.f64 y y #s(literal -1 binary64)) (neg.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(.f64 (.f64 (*.f64 (neg.f64 y) y) x) x)
(neg.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
(.f64 (.f64 (neg.f64 y) y) x)
(*.f64 (neg.f64 y) y)
(neg.f64 y)
y
x
(*.f64 y y)
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(*.f64 x y)
#s(literal 2 binary64)
(/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (*.f64 (neg.f64 y) y) x)))
(/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x y x)) y)
#s(literal 1 binary64)
(-.f64 (.f64 y x) (.f64 (*.f64 (neg.f64 y) y) x))
(*.f64 (fma.f64 x y x) y)
(*.f64 y x)
(*.f64 x y)

localize110.0ms (1.6%)

Memory

30.4MiB live, 186.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.9823837657669408	(.f64 (.f64 (*.f64 (neg.f64 y) y) x) x)
accuracy	3.396222258839077	(.f64 (.f64 (neg.f64 y) y) x)
accuracy	11.046124504809688	(fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
accuracy	22.09673534134053	(.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (*.f64 (neg.f64 y) y) x))))
accuracy	0	(-.f64 #s(literal -1 binary64) y)
accuracy	2.585439034252557	(*.f64 (pow.f64 y #s(literal 3 binary64)) x)
accuracy	3.035676291619072	(/.f64 #s(approx (neg (* (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 #s(literal -1 binary64) y))
accuracy	11.271672169137222	#s(approx (neg (* (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))
accuracy	0.03125	(.f64 (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) #s(approx (- 1 y) (neg.f64 y)))
accuracy	0.16796875	(.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (*.f64 x y)))
accuracy	8.966364583075157	(sqrt.f64 (*.f64 x y))
accuracy	16.390770409593244	#s(approx (- 1 y) (neg.f64 y))
accuracy	0	(*.f64 #s(approx (- 1 y) (neg.f64 y)) y)
accuracy	0	(neg.f64 y)
accuracy	1.6635533152648971	(.f64 (.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
accuracy	16.390770409593244	#s(approx (- 1 y) (neg.f64 y))
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	0.0625	(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))

Samples

49.0ms	128×	0	invalid
38.0ms	128×	0	valid

Compiler

Compiled 225 to 36 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 28.0ms (48.6% of total)

ival-div: 8.0ms (13.9% of total)

ival-sub: 7.0ms (12.1% of total)

ival-pow: 7.0ms (12.1% of total)

ival-sqrt: 2.0ms (3.5% of total)

ival-pow2: 2.0ms (3.5% of total)

ival-neg: 2.0ms (3.5% of total)

ival-add: 1.0ms (1.7% of total)

exact: 1.0ms (1.7% of total)

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

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

series44.0ms (0.6%)

Memory

-7.4MiB live, 74.6MiB allocated

Counts

22 → 444

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 (.f64 (.f64 #s(approx (- 1 y) (neg.f64 y)) y) x) (patch (.f64 (.f64 #s(approx (- 1 y) (neg.f64 y)) y) x) #<representation binary64>) () ())
#s(alt (.f64 #s(approx (- 1 y) (neg.f64 y)) y) (patch (.f64 #s(approx (- 1 y) (neg.f64 y)) y) #<representation binary64>) () ())
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ())
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) (patch (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 x y)) (patch (sqrt.f64 (.f64 x y)) #<representation binary64>) () ())
#s(alt (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (neg (* (- y (pow y 3)) x)) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 #s(approx (neg ( (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())
#s(alt #s(approx (neg (* (- y (pow y 3)) x)) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (neg ( (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 y #s(literal 3 binary64)) x) (patch (.f64 (pow.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())
#s(alt (pow.f64 y #s(literal 3 binary64)) (patch (pow.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (-.f64 (.f64 y x) (.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 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (patch (.f64 (.f64 (.f64 (neg.f64 y) y) x) 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>) () ())) ())
#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 (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 (+ 1 y) (taylor 0 y) (#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 (+ 1 (* y (+ 1 y))) (taylor 0 y) (#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 (+ 1 (* y (+ 1 (* y (+ 1 y))))) (taylor 0 y) (#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 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 (.f64 #s(approx (- 1 y) (neg.f64 y)) y) x) (patch (.f64 (.f64 #s(approx (- 1 y) (neg.f64 y)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (.f64 #s(approx (- 1 y) (neg.f64 y)) y) x) (patch (.f64 (.f64 #s(approx (- 1 y) (neg.f64 y)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (.f64 #s(approx (- 1 y) (neg.f64 y)) y) x) (patch (.f64 (.f64 #s(approx (- 1 y) (neg.f64 y)) y) x) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (.f64 #s(approx (- 1 y) (neg.f64 y)) y) x) (patch (.f64 (.f64 #s(approx (- 1 y) (neg.f64 y)) y) x) #<representation binary64>) () ())) ())
#s(alt y (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 y) (neg.f64 y)) y) (patch (.f64 #s(approx (- 1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 y) (neg.f64 y)) y) (patch (.f64 #s(approx (- 1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 y) (neg.f64 y)) y) (patch (.f64 #s(approx (- 1 y) (neg.f64 y)) y) #<representation binary64>) () ())) ())
#s(alt (* y (+ 1 (* -1 y))) (taylor 0 y) (#s(alt (.f64 #s(approx (- 1 y) (neg.f64 y)) y) (patch (.f64 #s(approx (- 1 y) (neg.f64 y)) y) #<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 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) (patch (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) (patch (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) (patch (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) (patch (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.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 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.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 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.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 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (sqrt (* x y)) (taylor 0 y) (#s(alt (sqrt.f64 (.f64 x y)) (patch (sqrt.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (* x y)) (taylor 0 y) (#s(alt (sqrt.f64 (.f64 x y)) (patch (sqrt.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (* x y)) (taylor 0 y) (#s(alt (sqrt.f64 (.f64 x y)) (patch (sqrt.f64 (.f64 x y)) #<representation binary64>) () ())) ())
#s(alt (sqrt (* x y)) (taylor 0 y) (#s(alt (sqrt.f64 (.f64 x y)) (patch (sqrt.f64 (.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 (.f64 x y) (patch (.f64 x y) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 #s(approx (neg (* (- y (pow y 3)) x)) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 #s(approx (neg ( (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 #s(approx (neg (* (- y (pow y 3)) x)) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 #s(approx (neg ( (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 #s(approx (neg (* (- y (pow y 3)) x)) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 #s(approx (neg ( (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 #s(approx (neg (* (- y (pow y 3)) x)) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 #s(approx (neg ( (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt #s(approx (neg (* (- y (pow y 3)) x)) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (neg ( (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* x (pow y 2)) x)) (taylor 0 y) (#s(alt #s(approx (neg (* (- y (pow y 3)) x)) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (neg ( (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* x (pow y 2)) x)) (taylor 0 y) (#s(alt #s(approx (neg (* (- y (pow y 3)) x)) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (neg ( (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* y (- (* x (pow y 2)) x)) (taylor 0 y) (#s(alt #s(approx (neg (* (- y (pow y 3)) x)) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (neg ( (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 3)) (taylor 0 y) (#s(alt (.f64 (pow.f64 y #s(literal 3 binary64)) x) (patch (.f64 (pow.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 3)) (taylor 0 y) (#s(alt (.f64 (pow.f64 y #s(literal 3 binary64)) x) (patch (.f64 (pow.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 3)) (taylor 0 y) (#s(alt (.f64 (pow.f64 y #s(literal 3 binary64)) x) (patch (.f64 (pow.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 3)) (taylor 0 y) (#s(alt (.f64 (pow.f64 y #s(literal 3 binary64)) x) (patch (.f64 (pow.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 3 binary64)) (patch (pow.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 3 binary64)) (patch (pow.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 3 binary64)) (patch (pow.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow y 3) (taylor 0 y) (#s(alt (pow.f64 y #s(literal 3 binary64)) (patch (pow.f64 y #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow y 2)) (taylor 0 y) (#s(alt (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow y 2) (+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2))) (taylor 0 y) (#s(alt (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) #<representation binary64>) () ())) ())
#s(alt (* x y) (taylor 0 y) (#s(alt (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x y))) (taylor 0 y) (#s(alt (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x y))) (taylor 0 y) (#s(alt (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* x y))) (taylor 0 y) (#s(alt (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (* y (* (pow (sqrt -1) 2) (- 1 y))))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* y (* (pow (sqrt -1) 2) (- 1 y))))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) #s(approx (- 1 y) (neg.f64 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>) () ())) ())
#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 (* 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 (pow y 3))) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (neg (* (- y (pow y 3)) x)) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 #s(approx (neg ( (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y (pow y 3))) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (neg (* (- y (pow y 3)) x)) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 #s(approx (neg ( (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y (pow y 3))) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (neg (* (- y (pow y 3)) x)) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 #s(approx (neg ( (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (/ (* x (- y (pow y 3))) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 #s(approx (neg (* (- y (pow y 3)) x)) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) (patch (/.f64 #s(approx (neg ( (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) (-.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y (pow y 3)))) (taylor -inf x) (#s(alt #s(approx (neg (* (- y (pow y 3)) x)) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (neg ( (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y (pow y 3)))) (taylor -inf x) (#s(alt #s(approx (neg (* (- y (pow y 3)) x)) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (neg ( (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y (pow y 3)))) (taylor -inf x) (#s(alt #s(approx (neg (* (- y (pow y 3)) x)) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (neg ( (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- y (pow y 3)))) (taylor -inf x) (#s(alt #s(approx (neg (* (- y (pow y 3)) x)) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (patch #s(approx (neg ( (- y (pow y 3)) x)) (*.f64 (pow.f64 y #s(literal 3 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 3)) (taylor -inf x) (#s(alt (.f64 (pow.f64 y #s(literal 3 binary64)) x) (patch (.f64 (pow.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 3)) (taylor -inf x) (#s(alt (.f64 (pow.f64 y #s(literal 3 binary64)) x) (patch (.f64 (pow.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 3)) (taylor -inf x) (#s(alt (.f64 (pow.f64 y #s(literal 3 binary64)) x) (patch (.f64 (pow.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 3)) (taylor -inf x) (#s(alt (.f64 (pow.f64 y #s(literal 3 binary64)) x) (patch (.f64 (pow.f64 y #s(literal 3 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (pow y 4)) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (pow y 4)) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (pow y 4)) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (pow y 4)) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (+ (* -1 (pow y 4)) (pow y 2))) (- (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (+ (* -1 (pow y 4)) (pow y 2))) (- (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (+ (* -1 (pow y 4)) (pow y 2))) (- (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (+ (* -1 (pow y 4)) (pow y 2))) (- (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (-.f64 (.f64 y x) (.f64 (.f64 (neg.f64 y) y) x)) (patch (-.f64 (.f64 y x) (.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 (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (patch (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (patch (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (patch (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (pow y 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (patch (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	x	@	-inf	((/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (- 1 y) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (neg y) (* (sqrt (* x y)) (sqrt (* x y))) (* (* (sqrt (* x y)) (sqrt (* x y))) (- 1 y)) (sqrt (* x y)) (* x y) (/ (neg (* (- y (pow y 3)) x)) (- -1 y)) (neg (* (- y (pow y 3)) x)) (* (pow y 3) x) (pow y 3) (+ (* (* (* (* (neg y) y) x) x) (* y y)) (pow (* x y) 2)) (* (+ (* (* (* (* (neg y) y) x) x) (* y y)) (pow (* x y) 2)) (/ 1 (- (* y x) (* (* (neg y) y) x)))) (- (* y x) (* (* (neg y) y) x)) (* (* (neg y) y) x) (- -1 y) (* (* (* (neg y) y) x) x))
8.0ms	y	@	0	((/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (- 1 y) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (neg y) (* (sqrt (* x y)) (sqrt (* x y))) (* (* (sqrt (* x y)) (sqrt (* x y))) (- 1 y)) (sqrt (* x y)) (* x y) (/ (neg (* (- y (pow y 3)) x)) (- -1 y)) (neg (* (- y (pow y 3)) x)) (* (pow y 3) x) (pow y 3) (+ (* (* (* (* (neg y) y) x) x) (* y y)) (pow (* x y) 2)) (* (+ (* (* (* (* (neg y) y) x) x) (* y y)) (pow (* x y) 2)) (/ 1 (- (* y x) (* (* (neg y) y) x)))) (- (* y x) (* (* (neg y) y) x)) (* (* (neg y) y) x) (- -1 y) (* (* (* (neg y) y) x) x))
6.0ms	y	@	-inf	((/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (- 1 y) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (neg y) (* (sqrt (* x y)) (sqrt (* x y))) (* (* (sqrt (* x y)) (sqrt (* x y))) (- 1 y)) (sqrt (* x y)) (* x y) (/ (neg (* (- y (pow y 3)) x)) (- -1 y)) (neg (* (- y (pow y 3)) x)) (* (pow y 3) x) (pow y 3) (+ (* (* (* (* (neg y) y) x) x) (* y y)) (pow (* x y) 2)) (* (+ (* (* (* (* (neg y) y) x) x) (* y y)) (pow (* x y) 2)) (/ 1 (- (* y x) (* (* (neg y) y) x)))) (- (* y x) (* (* (neg y) y) x)) (* (* (neg y) y) x) (- -1 y) (* (* (* (neg y) y) x) x))
4.0ms	x	@	0	((/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (- 1 y) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (neg y) (* (sqrt (* x y)) (sqrt (* x y))) (* (* (sqrt (* x y)) (sqrt (* x y))) (- 1 y)) (sqrt (* x y)) (* x y) (/ (neg (* (- y (pow y 3)) x)) (- -1 y)) (neg (* (- y (pow y 3)) x)) (* (pow y 3) x) (pow y 3) (+ (* (* (* (* (neg y) y) x) x) (* y y)) (pow (* x y) 2)) (* (+ (* (* (* (* (neg y) y) x) x) (* y y)) (pow (* x y) 2)) (/ 1 (- (* y x) (* (* (neg y) y) x)))) (- (* y x) (* (* (neg y) y) x)) (* (* (neg y) y) x) (- -1 y) (* (* (* (neg y) y) x) x))
3.0ms	y	@	inf	((/ (* y x) (pow (- 1 y) -1)) (* y x) (pow (- 1 y) -1) (- 1 y) (* (* (- 1 y) y) x) (* (- 1 y) y) (- 1 y) (neg y) (* (sqrt (* x y)) (sqrt (* x y))) (* (* (sqrt (* x y)) (sqrt (* x y))) (- 1 y)) (sqrt (* x y)) (* x y) (/ (neg (* (- y (pow y 3)) x)) (- -1 y)) (neg (* (- y (pow y 3)) x)) (* (pow y 3) x) (pow y 3) (+ (* (* (* (* (neg y) y) x) x) (* y y)) (pow (* x y) 2)) (* (+ (* (* (* (* (neg y) y) x) x) (* y y)) (pow (* x y) 2)) (/ 1 (- (* y x) (* (* (neg y) y) x)))) (- (* y x) (* (* (neg y) y) x)) (* (* (neg y) y) x) (- -1 y) (* (* (* (neg y) y) x) x))

simplify153.0ms (2.2%)

Memory

9.9MiB live, 195.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	125	2896
1	378	2724
2	1017	2623
3	3018	2623
4	7807	2623
0	8201	2588

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 443

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

rewrite181.0ms (2.6%)

Memory

8.6MiB live, 279.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	192
0	62	158
1	231	147
2	1432	137
0	9613	132

Stop Event

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

Counts

22 → 1 457

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

Outputs
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eval655.0ms (9.3%)

Memory: -63.3MiB live, 714.9MiB allocated
Compiler: Compiled 59 900 to 4 040 computations (93.3% saved)

prune61.0ms (0.9%)

Memory

22.5MiB live, 181.3MiB allocated

Pruning

11 alts after pruning (5 fresh and 6 done)

	Pruned	Kept	Total
New	2 376	5	2 381
Fresh	0	0	0
Picked	3	2	5
Done	0	4	4
Total	2 379	11	2 390

Accuracy

100.0%

Counts

2 390 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.7%	(/.f64 (*.f64 y x) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
▶	64.7%	(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
▶	8.8%	(.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (- (* y x) (* (* (neg y) y) x)) (.f64 (.f64 y y) x))))
✓	99.9%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
▶	29.7%	(.f64 (.f64 (sqrt.f64 (.f64 (.f64 x y) x)) (sqrt.f64 y)) #s(approx (- 1 y) (neg.f64 y)))
✓	38.5%	(.f64 (.f64 (sqrt.f64 (.f64 x y)) (sqrt.f64 (.f64 x y))) #s(approx (- 1 y) (neg.f64 y)))
✓	61.1%	(.f64 (.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	64.7%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
▶	56.4%	(.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 (.f64 x y)) (-.f64 #s(literal 1 binary64) y)))
✓	59.4%	#s(approx (* (* x y) (- 1 y)) (*.f64 y x))

Compiler

Compiled 187 to 138 computations (26.2% saved)

simplify151.0ms (2.1%)

Memory

-4.2MiB live, 153.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	0	(.f64 (.f64 (neg.f64 y) y) x)
cost-diff	320	(.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (- (* y x) (* (* (neg y) y) x)) (.f64 (.f64 y y) x))))
cost-diff	6784	(fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 x y)) (-.f64 #s(literal 1 binary64) y))
cost-diff	0	(*.f64 x y)
cost-diff	0	(sqrt.f64 (*.f64 x y))
cost-diff	1920	(.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 (.f64 x y)) (-.f64 #s(literal 1 binary64) y)))
cost-diff	0	(.f64 (.f64 x y) x)
cost-diff	0	(sqrt.f64 (.f64 (.f64 x y) x))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (*.f64 x y) x)) (sqrt.f64 y))
cost-diff	0	(.f64 (.f64 (sqrt.f64 (.f64 (.f64 x y) x)) (sqrt.f64 y)) #s(approx (- 1 y) (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 y x)
cost-diff	0	(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
cost-diff	0	(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))
cost-diff	0	(*.f64 y x)
cost-diff	6464	(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff	6848	(/.f64 (*.f64 y x) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	277
0	70	269
1	123	252
2	248	246
3	786	242
4	2204	240
5	5017	240
6	6385	240
7	7519	240
0	8002	237

Stop Event

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

Calls

Call 1

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

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

localize125.0ms (1.8%)

Memory

-50.4MiB live, 254.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	1.7326689435741796	(.f64 (.f64 (neg.f64 y) y) x)
accuracy	1.7326689435741796	(.f64 (.f64 y y) x)
accuracy	10.082536147354777	(.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (- (* y x) (* (* (neg y) y) x)) (.f64 (.f64 y y) x))))
accuracy	10.977822295622026	#s(approx (- (* y x) (* (* (neg y) y) x)) (.f64 (.f64 y y) x))
accuracy	0	(.f64 (sqrt.f64 (.f64 x y)) (-.f64 #s(literal 1 binary64) y))
accuracy	0	(*.f64 x y)
accuracy	0.08203125	(.f64 (sqrt.f64 (.f64 x y)) (.f64 (sqrt.f64 (.f64 x y)) (-.f64 #s(literal 1 binary64) y)))
accuracy	4.250920558360431	(sqrt.f64 (*.f64 x y))
accuracy	0.03515625	(.f64 (.f64 x y) x)
accuracy	0.0546875	(.f64 (sqrt.f64 (.f64 (*.f64 x y) x)) (sqrt.f64 y))
accuracy	5.49224644294882	(sqrt.f64 (.f64 (.f64 x y) x))
accuracy	16.11733289815154	#s(approx (- 1 y) (neg.f64 y))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(*.f64 y x)
accuracy	0.00390625	(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
accuracy	16.328384420534693	#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 y x)
accuracy	0.00390625	(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	0.00390625	(/.f64 (*.f64 y x) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)))

Samples

69.0ms	190×	0	invalid
29.0ms	66×	0	valid

Compiler

Compiled 249 to 37 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 75.0ms

ival-mult: 22.0ms (29.2% of total)

ival-div: 17.0ms (22.5% of total)

ival-neg: 15.0ms (19.9% of total)

ival-pow: 8.0ms (10.6% of total)

ival-pow2: 5.0ms (6.6% of total)

ival-sqrt: 4.0ms (5.3% of total)

ival-sub: 2.0ms (2.7% of total)

ival-add: 1.0ms (1.3% of total)

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

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

exact: 0.0ms (0% of total)

series40.0ms (0.6%)

Memory

31.6MiB live, 111.4MiB allocated

Counts

23 → 468

Calls

Call 1

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

Outputs
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (.f64 y x) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 (.f64 y x) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (.f64 y x) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 (.f64 y x) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (.f64 y x) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 (.f64 y x) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (.f64 y x) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 (.f64 y x) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt 1 (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 y))) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1 (* y (+ 1 y))))) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 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>) () ())) ())
#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 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* 1/2 y)) (taylor 0 y) (#s(alt (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1/2 (* 3/8 y)))) (taylor 0 y) (#s(alt (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1 (* y (+ 1/2 (* y (+ 3/8 (* 5/16 y)))))) (taylor 0 y) (#s(alt (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #<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 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 (sqrt.f64 (.f64 (.f64 x y) x)) (sqrt.f64 y)) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (.f64 (sqrt.f64 (.f64 (.f64 x y) x)) (sqrt.f64 y)) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (.f64 x y) x)) (sqrt.f64 y)) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (.f64 (sqrt.f64 (.f64 (.f64 x y) x)) (sqrt.f64 y)) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (.f64 x y) x)) (sqrt.f64 y)) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (.f64 (sqrt.f64 (.f64 (.f64 x y) x)) (sqrt.f64 y)) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (.f64 (.f64 (sqrt.f64 (.f64 (.f64 x y) x)) (sqrt.f64 y)) #s(approx (- 1 y) (neg.f64 y))) (patch (.f64 (.f64 (sqrt.f64 (.f64 (.f64 x y) x)) (sqrt.f64 y)) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ())) ())
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#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 (* 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 (* (sqrt (* x y)) (* (pow (sqrt -1) 2) (- 1 y)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 x y)) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (sqrt.f64 (.f64 x y)) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x y)) (* (pow (sqrt -1) 2) (- 1 y)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 x y)) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (sqrt.f64 (.f64 x y)) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x y)) (* (pow (sqrt -1) 2) (- 1 y)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 x y)) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (sqrt.f64 (.f64 x y)) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt (* x y)) (* (pow (sqrt -1) 2) (- 1 y)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 x y)) (-.f64 #s(literal 1 binary64) y)) (patch (.f64 (sqrt.f64 (.f64 x y)) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (pow y 4)) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (pow y 4)) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (pow y 4)) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -1 (pow y 4)) (pow y 2))) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (patch (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (+ (* -1 (pow y 4)) (pow y 2))) (- (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (- (* y x) (* (* (neg y) y) x)) (.f64 (.f64 y y) x)))) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (- (* y x) (* (* (neg y) y) x)) (.f64 (.f64 y y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (+ (* -1 (pow y 4)) (pow y 2))) (- (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (- (* y x) (* (* (neg y) y) x)) (.f64 (.f64 y y) x)))) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (- (* y x) (* (* (neg y) y) x)) (.f64 (.f64 y y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (+ (* -1 (pow y 4)) (pow y 2))) (- (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (- (* y x) (* (* (neg y) y) x)) (.f64 (.f64 y y) x)))) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (- (* y x) (* (* (neg y) y) x)) (.f64 (.f64 y y) x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (* x (+ (* -1 (pow y 4)) (pow y 2))) (- (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (- (* y x) (* (* (neg y) y) x)) (.f64 (.f64 y y) x)))) (patch (.f64 (fma.f64 (.f64 (.f64 (.f64 (neg.f64 y) y) x) x) (.f64 y y) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) #s(approx (- (* y x) (* (* (neg y) y) x)) (.f64 (.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 (* -1 (* x (- (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt #s(approx (- (* y x) (* (* (neg y) y) x)) (.f64 (.f64 y y) x)) (patch #s(approx (- (* y x) (* (* (neg y) y) x)) (.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt #s(approx (- (* y x) (* (* (neg y) y) x)) (.f64 (.f64 y y) x)) (patch #s(approx (- (* y x) (* (* (neg y) y) x)) (.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt #s(approx (- (* y x) (* (* (neg y) y) x)) (.f64 (.f64 y y) x)) (patch #s(approx (- (* y x) (* (* (neg y) y) x)) (.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt #s(approx (- (* y x) (* (* (neg y) y) x)) (.f64 (.f64 y y) x)) (patch #s(approx (- (* y x) (* (* (neg y) y) x)) (.f64 (.f64 y y) x)) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())
#s(alt (* x (pow y 2)) (taylor -inf x) (#s(alt (.f64 (.f64 y y) x) (patch (.f64 (.f64 y y) x) #<representation binary64>) () ())) ())

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	y	@	-inf	((/ (* y x) (pow (pow (- 1 y) -1/2) 2)) (pow (pow (- 1 y) -1/2) 2) (* y x) (pow (- 1 y) -1/2) (/ (* y x) (pow (- 1 y) -1)) (pow (- 1 y) -1) (/ -1 y) (* (* (sqrt (* (* x y) x)) (sqrt y)) (- 1 y)) (* (sqrt (* (* x y) x)) (sqrt y)) (sqrt (* (* x y) x)) (* (* x y) x) (* (sqrt (* x y)) (* (sqrt (* x y)) (- 1 y))) (sqrt (* x y)) (* x y) (* (sqrt (* x y)) (- 1 y)) (+ (* (* (* (* (neg y) y) x) x) (* y y)) (pow (* x y) 2)) (* (+ (* (* (* (* (neg y) y) x) x) (* y y)) (pow (* x y) 2)) (/ 1 (- (* y x) (* (* (neg y) y) x)))) (* (* (neg y) y) x) (* (neg y) y) (- 1 y) (- 1 y) (- (* y x) (* (* (neg y) y) x)) (* (* y y) x))
4.0ms	x	@	-inf	((/ (* y x) (pow (pow (- 1 y) -1/2) 2)) (pow (pow (- 1 y) -1/2) 2) (* y x) (pow (- 1 y) -1/2) (/ (* y x) (pow (- 1 y) -1)) (pow (- 1 y) -1) (/ -1 y) (* (* (sqrt (* (* x y) x)) (sqrt y)) (- 1 y)) (* (sqrt (* (* x y) x)) (sqrt y)) (sqrt (* (* x y) x)) (* (* x y) x) (* (sqrt (* x y)) (* (sqrt (* x y)) (- 1 y))) (sqrt (* x y)) (* x y) (* (sqrt (* x y)) (- 1 y)) (+ (* (* (* (* (neg y) y) x) x) (* y y)) (pow (* x y) 2)) (* (+ (* (* (* (* (neg y) y) x) x) (* y y)) (pow (* x y) 2)) (/ 1 (- (* y x) (* (* (neg y) y) x)))) (* (* (neg y) y) x) (* (neg y) y) (- 1 y) (- 1 y) (- (* y x) (* (* (neg y) y) x)) (* (* y y) x))
4.0ms	y	@	inf	((/ (* y x) (pow (pow (- 1 y) -1/2) 2)) (pow (pow (- 1 y) -1/2) 2) (* y x) (pow (- 1 y) -1/2) (/ (* y x) (pow (- 1 y) -1)) (pow (- 1 y) -1) (/ -1 y) (* (* (sqrt (* (* x y) x)) (sqrt y)) (- 1 y)) (* (sqrt (* (* x y) x)) (sqrt y)) (sqrt (* (* x y) x)) (* (* x y) x) (* (sqrt (* x y)) (* (sqrt (* x y)) (- 1 y))) (sqrt (* x y)) (* x y) (* (sqrt (* x y)) (- 1 y)) (+ (* (* (* (* (neg y) y) x) x) (* y y)) (pow (* x y) 2)) (* (+ (* (* (* (* (neg y) y) x) x) (* y y)) (pow (* x y) 2)) (/ 1 (- (* y x) (* (* (neg y) y) x)))) (* (* (neg y) y) x) (* (neg y) y) (- 1 y) (- 1 y) (- (* y x) (* (* (neg y) y) x)) (* (* y y) x))
3.0ms	y	@	0	((/ (* y x) (pow (pow (- 1 y) -1/2) 2)) (pow (pow (- 1 y) -1/2) 2) (* y x) (pow (- 1 y) -1/2) (/ (* y x) (pow (- 1 y) -1)) (pow (- 1 y) -1) (/ -1 y) (* (* (sqrt (* (* x y) x)) (sqrt y)) (- 1 y)) (* (sqrt (* (* x y) x)) (sqrt y)) (sqrt (* (* x y) x)) (* (* x y) x) (* (sqrt (* x y)) (* (sqrt (* x y)) (- 1 y))) (sqrt (* x y)) (* x y) (* (sqrt (* x y)) (- 1 y)) (+ (* (* (* (* (neg y) y) x) x) (* y y)) (pow (* x y) 2)) (* (+ (* (* (* (* (neg y) y) x) x) (* y y)) (pow (* x y) 2)) (/ 1 (- (* y x) (* (* (neg y) y) x)))) (* (* (neg y) y) x) (* (neg y) y) (- 1 y) (- 1 y) (- (* y x) (* (* (neg y) y) x)) (* (* y y) x))
3.0ms	x	@	inf	((/ (* y x) (pow (pow (- 1 y) -1/2) 2)) (pow (pow (- 1 y) -1/2) 2) (* y x) (pow (- 1 y) -1/2) (/ (* y x) (pow (- 1 y) -1)) (pow (- 1 y) -1) (/ -1 y) (* (* (sqrt (* (* x y) x)) (sqrt y)) (- 1 y)) (* (sqrt (* (* x y) x)) (sqrt y)) (sqrt (* (* x y) x)) (* (* x y) x) (* (sqrt (* x y)) (* (sqrt (* x y)) (- 1 y))) (sqrt (* x y)) (* x y) (* (sqrt (* x y)) (- 1 y)) (+ (* (* (* (* (neg y) y) x) x) (* y y)) (pow (* x y) 2)) (* (+ (* (* (* (* (neg y) y) x) x) (* y y)) (pow (* x y) 2)) (/ 1 (- (* y x) (* (* (neg y) y) x)))) (* (* (neg y) y) x) (* (neg y) y) (- 1 y) (- 1 y) (- (* y x) (* (* (neg y) y) x)) (* (* y y) x))

simplify567.0ms (8.1%)

Memory

0.2MiB live, 236.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	193	3196
1	545	3006
2	1516	2898
3	3943	2893
0	8199	2839

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 468

Calls

Call 1

Inputs
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
1
(+ 1 y)
(+ 1 (* y (+ 1 y)))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(* x y)
(* x y)
(* x y)
(* x y)
1
(+ 1 (* 1/2 y))
(+ 1 (* y (+ 1/2 (* 3/8 y))))
(+ 1 (* y (+ 1/2 (* y (+ 3/8 (* 5/16 y))))))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* 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))))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (sqrt y))
(* x (sqrt y))
(* x (sqrt y))
(* x (sqrt y))
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(sqrt (* x y))
(sqrt (* x y))
(sqrt (* x y))
(sqrt (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(sqrt (* x y))
(+ (sqrt (* x y)) (* -1 (sqrt (* x (pow y 3)))))
(+ (sqrt (* x y)) (* -1 (sqrt (* x (pow y 3)))))
(+ (sqrt (* x y)) (* -1 (sqrt (* x (pow y 3)))))
(* (pow x 2) (pow y 2))
(* (pow y 2) (+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2)))
(* (pow y 2) (+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2)))
(* 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
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(* x y)
(* y (+ x (* x y)))
(* y (+ x (* x y)))
(* y (+ x (* x y)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* -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 (/ (+ 1 (/ 1 y)) y))
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
(* x y)
(* x y)
(* x y)
(* x y)
(* (sqrt (/ 1 y)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1))))
(+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (/ (+ 1 (* 1/4 (/ y (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -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 (/ (+ 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)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (sqrt y))
(* x (sqrt y))
(* x (sqrt y))
(* x (sqrt y))
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) 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)))
(sqrt (* x y))
(sqrt (* x y))
(sqrt (* x y))
(sqrt (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (sqrt (* x (pow y 3))))
(* (pow y 2) (+ (sqrt (/ x (pow y 3))) (* -1 (sqrt (/ x y)))))
(* (pow y 2) (+ (sqrt (/ x (pow y 3))) (* -1 (sqrt (/ x y)))))
(* (pow y 2) (+ (sqrt (/ x (pow y 3))) (* -1 (sqrt (/ x y)))))
(* -1 (* (pow x 2) (pow y 4)))
(* (pow y 4) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))
(* (pow y 4) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))
(* (pow y 4) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))
(* -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)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* -1 y)
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* y (- (/ 1 y) 1))
(* x (pow y 2))
(* (pow y 2) (- (/ x y) (* -1 x)))
(* (pow y 2) (- (/ x y) (* -1 x)))
(* (pow y 2) (- (/ x y) (* -1 x)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* -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 (/ (+ 1 (/ 1 y)) y))
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y))
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y))
(* x y)
(* x y)
(* x y)
(* x y)
(* (sqrt (/ 1 y)) (sqrt -1))
(+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (sqrt -1))) (* (sqrt (/ 1 y)) (sqrt -1)))
(+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 5))) (sqrt -1))) (* (sqrt (/ 1 y)) (sqrt -1))))
(+ (* -1 (/ (+ (* 1/2 (* (sqrt y) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 y)) (* (sqrt -1) (+ 1 (* -1/4 y)))))) (pow y 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (sqrt -1))) (* (sqrt (/ 1 y)) (sqrt -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 (/ (+ 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)
(* x (* (pow y 2) (pow (sqrt -1) 2)))
(* (pow y 2) (+ (* -1 (/ (* x (pow (sqrt -1) 2)) y)) (* x (pow (sqrt -1) 2))))
(* (pow y 2) (+ (* -1 (/ (* x (pow (sqrt -1) 2)) y)) (* x (pow (sqrt -1) 2))))
(* (pow y 2) (+ (* -1 (/ (* x (pow (sqrt -1) 2)) y)) (* x (pow (sqrt -1) 2))))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* x (* y (pow (sqrt -1) 2))))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* -1 (* (* x (pow (sqrt -1) 2)) (sqrt y)))
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* x (* (pow y 2) (pow (sqrt -1) 2)))
(* (pow y 2) (+ (* -1 (/ (* x (pow (sqrt -1) 2)) y)) (* x (pow (sqrt -1) 2))))
(* (pow y 2) (+ (* -1 (/ (* x (pow (sqrt -1) 2)) y)) (* x (pow (sqrt -1) 2))))
(* (pow y 2) (+ (* -1 (/ (* x (pow (sqrt -1) 2)) y)) (* x (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)))
(* x y)
(* x y)
(* x y)
(* x y)
(* (sqrt (* x (pow y 3))) (pow (sqrt -1) 2))
(* (pow y 2) (+ (* -1 (* (sqrt (/ x (pow y 3))) (pow (sqrt -1) 2))) (* (sqrt (/ x y)) (pow (sqrt -1) 2))))
(* (pow y 2) (+ (* -1 (* (sqrt (/ x (pow y 3))) (pow (sqrt -1) 2))) (* (sqrt (/ x y)) (pow (sqrt -1) 2))))
(* (pow y 2) (+ (* -1 (* (sqrt (/ x (pow y 3))) (pow (sqrt -1) 2))) (* (sqrt (/ x y)) (pow (sqrt -1) 2))))
(* -1 (* (pow x 2) (pow y 4)))
(* (pow y 4) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))
(* (pow y 4) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))
(* (pow y 4) (+ (* -1 (pow x 2)) (/ (pow x 2) (pow y 2))))
(* -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 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 y)
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* -1 (* y (- 1 (/ 1 y))))
(* x (pow y 2))
(* (pow y 2) (- (/ x y) (* -1 x)))
(* (pow y 2) (- (/ x y) (* -1 x)))
(* (pow y 2) (- (/ x y) (* -1 x)))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* 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 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)
(* x y)
(* x y)
(* x y)
(* x (sqrt y))
(* x (sqrt y))
(* x (sqrt y))
(* x (sqrt y))
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(sqrt (* x y))
(sqrt (* x y))
(sqrt (* x y))
(sqrt (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* (sqrt (* x y)) (- 1 y))
(* (sqrt (* x y)) (- 1 y))
(* (sqrt (* x y)) (- 1 y))
(* (sqrt (* x y)) (- 1 y))
(* (pow x 2) (+ (* -1 (pow y 4)) (pow y 2)))
(* (pow x 2) (+ (* -1 (pow y 4)) (pow y 2)))
(* (pow x 2) (+ (* -1 (pow y 4)) (pow y 2)))
(* (pow x 2) (+ (* -1 (pow y 4)) (pow y 2)))
(/ (* x (+ (* -1 (pow y 4)) (pow y 2))) (- y (* -1 (pow y 2))))
(/ (* x (+ (* -1 (pow y 4)) (pow y 2))) (- y (* -1 (pow y 2))))
(/ (* x (+ (* -1 (pow y 4)) (pow y 2))) (- y (* -1 (pow y 2))))
(/ (* x (+ (* -1 (pow y 4)) (pow y 2))) (- y (* -1 (pow y 2))))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* 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 (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* 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 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)
(* x y)
(* x y)
(* x y)
(* x (sqrt y))
(* x (sqrt y))
(* x (sqrt y))
(* x (sqrt y))
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(sqrt (* x y))
(sqrt (* x y))
(sqrt (* x y))
(sqrt (* x y))
(* x y)
(* x y)
(* x y)
(* x y)
(* (sqrt (* x y)) (- 1 y))
(* (sqrt (* x y)) (- 1 y))
(* (sqrt (* x y)) (- 1 y))
(* (sqrt (* x y)) (- 1 y))
(* (pow x 2) (+ (* -1 (pow y 4)) (pow y 2)))
(* (pow x 2) (+ (* -1 (pow y 4)) (pow y 2)))
(* (pow x 2) (+ (* -1 (pow y 4)) (pow y 2)))
(* (pow x 2) (+ (* -1 (pow y 4)) (pow y 2)))
(/ (* x (+ (* -1 (pow y 4)) (pow y 2))) (- y (* -1 (pow y 2))))
(/ (* x (+ (* -1 (pow y 4)) (pow y 2))) (- y (* -1 (pow y 2))))
(/ (* x (+ (* -1 (pow y 4)) (pow y 2))) (- y (* -1 (pow y 2))))
(/ (* x (+ (* -1 (pow y 4)) (pow y 2))) (- y (* -1 (pow y 2))))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* 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 (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* 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 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* -1 (* x (* y (- 1 y))))
(* -1 (* x (* y (- 1 y))))
(* -1 (* x (* y (- 1 y))))
(* -1 (* x (* y (- 1 y))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x (sqrt y)))
(* -1 (* x (sqrt y)))
(* -1 (* x (sqrt y)))
(* -1 (* x (sqrt y)))
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* (pow x 2) y)
(* -1 (* x (* y (* (pow (sqrt -1) 2) (- 1 y)))))
(* -1 (* x (* y (* (pow (sqrt -1) 2) (- 1 y)))))
(* -1 (* x (* y (* (pow (sqrt -1) 2) (- 1 y)))))
(* -1 (* x (* y (* (pow (sqrt -1) 2) (- 1 y)))))
(* -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)))
(* x y)
(* x y)
(* x y)
(* x y)
(* -1 (* (sqrt (* x y)) (* (pow (sqrt -1) 2) (- 1 y))))
(* -1 (* (sqrt (* x y)) (* (pow (sqrt -1) 2) (- 1 y))))
(* -1 (* (sqrt (* x y)) (* (pow (sqrt -1) 2) (- 1 y))))
(* -1 (* (sqrt (* x y)) (* (pow (sqrt -1) 2) (- 1 y))))
(* (pow x 2) (+ (* -1 (pow y 4)) (pow y 2)))
(* (pow x 2) (+ (* -1 (pow y 4)) (pow y 2)))
(* (pow x 2) (+ (* -1 (pow y 4)) (pow y 2)))
(* (pow x 2) (+ (* -1 (pow y 4)) (pow y 2)))
(* -1 (/ (* x (+ (* -1 (pow y 4)) (pow y 2))) (- (* -1 y) (pow y 2))))
(* -1 (/ (* x (+ (* -1 (pow y 4)) (pow y 2))) (- (* -1 y) (pow y 2))))
(* -1 (/ (* x (+ (* -1 (pow y 4)) (pow y 2))) (- (* -1 y) (pow y 2))))
(* -1 (/ (* x (+ (* -1 (pow y 4)) (pow y 2))) (- (* -1 y) (pow y 2))))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -1 (* x (pow y 2)))
(* -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))))
(* x (pow y 2))
(* x (pow y 2))
(* x (pow y 2))
(* x (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)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (* y (+ 1 y)))
(fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))
(* 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 (* 1/2 y))
(fma.f64 #s(literal 1/2 binary64) y #s(literal 1 binary64))
(+ 1 (* y (+ 1/2 (* 3/8 y))))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1/2 (* y (+ 3/8 (* 5/16 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/16 binary64) y #s(literal 3/8 binary64)) y #s(literal 1/2 binary64)) y #s(literal 1 binary64))
(* 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 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (* y (+ 1 y)))
(fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.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)
(/ -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)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (sqrt y))
(*.f64 (sqrt.f64 y) x)
(* x (sqrt y))
(*.f64 (sqrt.f64 y) x)
(* x (sqrt y))
(*.f64 (sqrt.f64 y) x)
(* x (sqrt y))
(*.f64 (sqrt.f64 y) x)
(* (pow x 2) y)
(.f64 (.f64 x x) y)
(* (pow x 2) y)
(.f64 (.f64 x x) y)
(* (pow x 2) y)
(.f64 (.f64 x x) y)
(* (pow x 2) y)
(.f64 (.f64 x 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)
(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)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(sqrt (* x y))
(sqrt.f64 (*.f64 y x))
(+ (sqrt (* x y)) (* -1 (sqrt (* x (pow y 3)))))
(-.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(+ (sqrt (* x y)) (* -1 (sqrt (* x (pow y 3)))))
(-.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(+ (sqrt (* x y)) (* -1 (sqrt (* x (pow y 3)))))
(-.f64 (sqrt.f64 (.f64 y x)) (sqrt.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) x)))
(* (pow x 2) (pow y 2))
(.f64 (.f64 (*.f64 x x) y) y)
(* (pow y 2) (+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2)))
(.f64 (.f64 (fma.f64 y y (neg.f64 (pow.f64 y #s(literal 4 binary64)))) x) x)
(* (pow y 2) (+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2)))
(.f64 (.f64 (fma.f64 y y (neg.f64 (pow.f64 y #s(literal 4 binary64)))) x) x)
(* (pow y 2) (+ (* -1 (* (pow x 2) (pow y 2))) (pow x 2)))
(.f64 (.f64 (fma.f64 y y (neg.f64 (pow.f64 y #s(literal 4 binary64)))) x) 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 (neg.f64 x) (.f64 y y))
(* -1 (* x (pow y 2)))
(.f64 (neg.f64 x) (.f64 y y))
(* -1 (* x (pow y 2)))
(.f64 (neg.f64 x) (.f64 y y))
(* -1 (* x (pow y 2)))
(.f64 (neg.f64 x) (.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 (pow y 2))
(*.f64 (neg.f64 y) y)
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
#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 (* x y)))
(*.f64 (fma.f64 y y y) x)
(* y (+ x (* x y)))
(*.f64 (fma.f64 y y y) x)
(* y (+ x (* x y)))
(*.f64 (fma.f64 y y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* -1 (* x (pow y 2)))
(.f64 (neg.f64 x) (.f64 y y))
(* (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)
(/ -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)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/.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) y) #s(literal -1 binary64)) y) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* (sqrt (/ 1 y)) (sqrt -1))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y)))
(+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (/ (+ 1 (* 1/4 (/ y (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1)))))
(fma.f64 (/.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 7 binary64)))) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) y))))
(* -1 (* x (pow y 2)))
(.f64 (neg.f64 x) (.f64 y y))
(* (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)
(/ -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)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/.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) y) #s(literal -1 binary64)) y) (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) 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)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (* x (pow y 2)))
(.f64 (neg.f64 x) (.f64 y y))
(* (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)
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(/ (* x (+ (* -1 (pow y 4)) (pow y 2))) (- y (* -1 (pow y 2))))
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(/ (* x (+ (* -1 (pow y 4)) (pow y 2))) (- y (* -1 (pow y 2))))
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(/ (* x (+ (* -1 (pow y 4)) (pow y 2))) (- y (* -1 (pow y 2))))
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(/ (* x (+ (* -1 (pow y 4)) (pow y 2))) (- y (* -1 (pow y 2))))
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rewrite227.0ms (3.2%)

Memory

-5.4MiB live, 276.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	208
0	70	187
1	226	170
2	1156	166
0	8406	164

Stop Event

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

Counts

23 → 1 064

Calls

Call 1

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

Outputs
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eval454.0ms (6.5%)

Memory: 23.7MiB live, 398.0MiB allocated
Compiler: Compiled 41 671 to 3 325 computations (92% saved)

prune109.0ms (1.6%)

Memory

-16.4MiB live, 115.8MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	1 892	3	1 895
Fresh	0	0	0
Picked	4	1	5
Done	1	5	6
Total	1 897	9	1 906

Accuracy

100.0%

Counts

1 906 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	64.7%	(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
	64.7%	(/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x))
✓	99.9%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
	11.2%	(.f64 (.f64 (.f64 (.f64 x (-.f64 #s(literal 1 binary64) y)) y) (.f64 (fma.f64 y y y) x)) (/.f64 #s(literal 1 binary64) #s(approx (- ( y x) (* (* (neg y) y) x)) (.f64 (.f64 y y) x))))
	31.9%	(.f64 (.f64 (*.f64 (sqrt.f64 y) x) (sqrt.f64 y)) #s(approx (- 1 y) (neg.f64 y)))
✓	61.1%	(.f64 (.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	64.7%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓	59.4%	#s(approx (* (* x y) (- 1 y)) (*.f64 y x))

Compiler

Compiled 360 to 142 computations (60.6% saved)

regimes82.0ms (1.2%)

Memory

4.0MiB live, 42.6MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

3 calls:

68.0ms	y
7.0ms	x
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)

regimes69.0ms (1%)

Memory

-22.9MiB live, 19.4MiB allocated

Counts

4 → 3

Calls

Call 1

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

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:

65.0ms	x
2.0ms	y
2.0ms	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Results

Accuracy	Segments	Branch
73.2%	4	`x`
98.8%	3	`y`
89.3%	2	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory

5.1MiB live, 5.1MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
#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
95.2%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB 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

3 calls:

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

Results

Accuracy	Segments	Branch
59.4%	1	`x`
59.4%	1	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`
59.4%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch31.0ms (0.4%)

Memory

10.3MiB live, 49.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0012289513178321808	29957029.924406834
16.0ms	-478776.70834929217	-9.866802582825397e-20

Samples

13.0ms

336×

valid

Compiler

Compiled 241 to 263 computations (-9.1% saved)

Precisions

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

ival-mult: 4.0ms (61.3% of total)

ival-sub: 2.0ms (30.6% 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

4.2MiB live, 4.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.0012289513178321808	29957029.924406834
1.0ms	-478776.70834929217	-9.866802582825397e-20

Compiler

Compiled 241 to 263 computations (-9.1% saved)

simplify66.0ms (0.9%)

Memory

-28.2MiB live, 48.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	104
1	37	104
2	46	104
3	56	104
4	61	104
5	64	104
6	65	104

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

soundness506.0ms (7.2%)

Memory

12.0MiB live, 165.5MiB allocated

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×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 84 to 39 computations (53.6% saved)

preprocess76.0ms (1.1%)

Memory: 26.1MiB live, 101.1MiB allocated
Remove: (negabs x)
Compiler: Compiled 168 to 76 computations (54.8% 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%)

analyze0.0ms (0%)

sample1.1s (15.6%)

explain58.0ms (0.8%)

preprocess62.0ms (0.9%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify21.0ms (0.3%)

localize16.0ms (0.2%)

series10.0ms (0.1%)

simplify160.0ms (2.3%)

rewrite174.0ms (2.5%)

eval56.0ms (0.8%)

prune47.0ms (0.7%)

simplify118.0ms (1.7%)

localize179.0ms (2.5%)

series44.0ms (0.6%)

simplify196.0ms (2.8%)

rewrite350.0ms (5%)

eval496.0ms (7.1%)

prune99.0ms (1.4%)

simplify137.0ms (1.9%)

localize110.0ms (1.6%)

series44.0ms (0.6%)

simplify153.0ms (2.2%)

rewrite181.0ms (2.6%)

eval655.0ms (9.3%)

prune61.0ms (0.9%)

simplify151.0ms (2.1%)

localize125.0ms (1.8%)

series40.0ms (0.6%)

simplify567.0ms (8.1%)

rewrite227.0ms (3.2%)

eval454.0ms (6.5%)

prune109.0ms (1.6%)

regimes82.0ms (1.2%)

regimes69.0ms (1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch31.0ms (0.4%)

bsearch2.0ms (0%)

simplify66.0ms (0.9%)

soundness506.0ms (7.2%)

preprocess76.0ms (1.1%)

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