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

1.0MiB live, 1.0MiB 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)

sample877.0ms (15.7%)

Memory

12.8MiB live, 933.2MiB allocated

Samples

621.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 313.0ms

ival-mult: 200.0ms (64% of total)

ival-sub: 98.0ms (31.3% of total)

ival-true: 6.0ms (1.9% of total)

exact: 5.0ms (1.6% of total)

ival-assert: 3.0ms (1% of total)

Bogosity

explain66.0ms (1.2%)

Memory

0.7MiB live, 115.8MiB 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

25.0ms

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: 8.0ms (65% of total)

ival-sub: 3.0ms (24.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess80.0ms (1.4%)

Memory

-8.5MiB live, 73.8MiB 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

1.0MiB live, 1.0MiB 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)

simplify23.0ms (0.4%)

Memory

-7.1MiB live, 28.5MiB 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)

localize18.0ms (0.3%)

Memory

6.9MiB live, 45.6MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 x y)
accuracy	0.06478500976844201	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Samples

13.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-mult: 5.0ms (80.4% of total)

ival-sub: 1.0ms (16.1% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

-27.6MiB live, 20.1MiB 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
5.0ms	x	@	-inf	((* (* x y) (- 1 y)) (* x y) (- 1 y))
1.0ms	x	@	0	((* (* x y) (- 1 y)) (* x y) (- 1 y))
1.0ms	y	@	inf	((* (* x y) (- 1 y)) (* x y) (- 1 y))
1.0ms	y	@	-inf	((* (* x y) (- 1 y)) (* x y) (- 1 y))
1.0ms	y	@	0	((* (* x y) (- 1 y)) (* x y) (- 1 y))

simplify133.0ms (2.4%)

Memory

36.5MiB live, 149.4MiB 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)

rewrite146.0ms (2.6%)

Memory

-18.3MiB live, 219.9MiB 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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eval61.0ms (1.1%)

Memory: 32.8MiB live, 144.6MiB allocated
Compiler: Compiled 11 115 to 1 282 computations (88.5% saved)

prune16.0ms (0.3%)

Memory

-24.1MiB live, 49.2MiB 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
▶	89.0%	(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
▶	99.8%	(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
▶	98.9%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y x)))
	91.7%	(.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) y)))
	89.0%	(.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (.f64 y x)) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)))
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
▶	62.9%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
	55.7%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))
▶	56.3%	#s(approx (* (* x y) (- 1 y)) (*.f64 y x))

Compiler

Compiled 163 to 126 computations (22.7% saved)

simplify303.0ms (5.4%)

Memory

-0.6MiB live, 300.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
cost-diff	1792	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y x)))
cost-diff	5760	(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y x))
cost-diff	0	(*.f64 y x)
cost-diff	0	(*.f64 y y)
cost-diff	128	(+.f64 #s(literal -1 binary64) (*.f64 y y))
cost-diff	7040	(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
cost-diff	0	(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	(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	23	137
0	37	131
1	65	131
2	139	125
3	310	123
4	869	123
5	2728	123
6	5863	123
0	8435	122

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

localize55.0ms (1%)

Memory

-8.2MiB live, 111.7MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y x)
accuracy	0.0078125	(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
accuracy	0.24056625976844204	(/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y x))
accuracy	0.6806785994054172	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (*.f64 y x)))
accuracy	0	(*.f64 y y)
accuracy	0	(*.f64 y x)
accuracy	1.166363041302705	(.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 y x))
accuracy	5.833472913511866	(/.f64 (.f64 (+.f64 #s(literal -1 binary64) (.f64 y y)) (*.f64 y x)) (-.f64 #s(literal -1 binary64) y))
accuracy	0	(*.f64 x y)
accuracy	0	(neg.f64 y)
accuracy	0.06478500976844201	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
accuracy	30.417100307193078	#s(approx (- 1 y) (neg.f64 y))
accuracy	0	(*.f64 y x)
accuracy	27.943846317371698	#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 y x)
accuracy	0.0078125	(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
accuracy	0.12890625	(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))

Samples

41.0ms

256×

valid

Compiler

Compiled 129 to 20 computations (84.5% saved)

Precisions

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

ival-mult: 8.0ms (31.6% of total)

ival-div: 7.0ms (27.6% of total)

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

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

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

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

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.4%)

Memory

17.2MiB live, 55.7MiB allocated

Counts

15 → 288

Calls

Call 1

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

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

Calls

6 calls:

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

simplify146.0ms (2.6%)

Memory

-28.2MiB live, 166.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	99	1931
1	284	1774
2	815	1713
3	2422	1697
4	5920	1697
0	8182	1682

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

Calls

Call 1

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

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

rewrite237.0ms (4.2%)

Memory

6.1MiB live, 280.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	102
0	37	96
1	127	90
2	749	89
0	8324	88

Stop Event

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

Counts

15 → 1 894

Calls

Call 1

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

Outputs
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eval415.0ms (7.4%)

Memory: 35.3MiB live, 702.5MiB allocated
Compiler: Compiled 45 199 to 3 908 computations (91.4% saved)

prune94.0ms (1.7%)

Memory

-11.1MiB live, 152.6MiB allocated

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	2 596	5	2 601
Fresh	2	1	3
Picked	3	2	5
Done	0	1	1
Total	2 601	9	2 610

Accuracy

100.0%

Counts

2 610 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.0%	(/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
▶	62.9%	(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
▶	92.5%	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y y (neg.f64 y))))
	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 y #s(literal 1 binary64)) (.f64 x y))))
▶	91.7%	(.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) y)))
▶	55.7%	(.f64 (.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	62.9%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓	56.3%	#s(approx (* (* x y) (- 1 y)) (*.f64 y x))

Compiler

Compiled 130 to 106 computations (18.5% saved)

simplify98.0ms (1.7%)

Memory

-14.1MiB live, 105.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	-6144	(/.f64 #s(literal -1 binary64) (fma.f64 y y (neg.f64 y)))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 y y (neg.f64 y))
cost-diff	7232	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y y (neg.f64 y))))
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))
cost-diff	0	(fma.f64 y y #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
cost-diff	0	(neg.f64 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	-384	(/.f64 #s(literal -1 binary64) (*.f64 x y))
cost-diff	0	(*.f64 x y)
cost-diff	0	(-.f64 y #s(literal 1 binary64))
cost-diff	1472	(/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y)))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	141
0	43	141
1	76	141
2	148	141
3	320	138
4	694	136
5	2265	136
6	5326	136
7	7679	136
0	8025	136

Stop Event

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

Calls

Call 1

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

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

localize76.0ms (1.4%)

Memory

5.5MiB live, 165.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 y y (neg.f64 y))
accuracy	0	(neg.f64 y)
accuracy	0.889091081718999	(/.f64 #s(literal -1 binary64) (fma.f64 y y (neg.f64 y)))
accuracy	3.9765845580154986	(/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 y y (neg.f64 y))))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 y x)
accuracy	4.697723912668436	(.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (.f64 y x) (-.f64 #s(literal 1 binary64) y)))
accuracy	8.16721973791546	(/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0	(*.f64 y x)
accuracy	0.12890625	(/.f64 (*.f64 y x) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
accuracy	30.550848846952906	#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
accuracy	0	(neg.f64 y)
accuracy	0.0078125	(*.f64 #s(approx (- 1 y) (neg.f64 y)) y)
accuracy	4.697723912668436	(.f64 (.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
accuracy	30.417100307193078	#s(approx (- 1 y) (neg.f64 y))
accuracy	0	(-.f64 y #s(literal 1 binary64))
accuracy	0	(*.f64 x y)
accuracy	0.6001950670332372	(/.f64 #s(literal -1 binary64) (*.f64 x y))
accuracy	0.6533348494054172	(/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y)))

Samples

58.0ms

256×

valid

Compiler

Compiled 131 to 25 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 19.0ms (47.1% of total)

ival-div: 11.0ms (27.2% of total)

ival-sub: 3.0ms (7.4% of total)

ival-pow: 3.0ms (7.4% of total)

ival-add: 2.0ms (5% of total)

ival-neg: 1.0ms (2.5% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.5%)

Memory

22.5MiB live, 22.5MiB allocated

Counts

19 → 336

Calls

Call 1

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

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

Calls

6 calls:

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

simplify233.0ms (4.2%)

Memory

-20.0MiB live, 152.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	149	2094
1	469	1942
2	1234	1902
3	4455	1879
0	8212	1856

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 333

Calls

Call 1

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

Outputs
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
-1
#s(literal -1 binary64)
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
(- y 1)
(-.f64 y #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
y
(* y (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* y (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* y (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) 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 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
1
#s(literal 1 binary64)
(+ 1 y)
(-.f64 y #s(literal -1 binary64))
(+ 1 (* y (+ 1 y)))
(fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64)))
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
1
#s(literal 1 binary64)
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(+ 1 (pow y 2))
(fma.f64 y y #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* y (+ x (* x y)))
(*.f64 (fma.f64 y x x) y)
(* y (+ x (* y (- (* x y) (* -1 x)))))
(*.f64 (fma.f64 (fma.f64 y x x) y x) y)
(* y (+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))))
(.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y x x)) 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 (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* y (+ x (* -1 (* x y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* -1 y)
(neg.f64 y)
(* y (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) y)
(* y (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) y)
(* y (- y 1))
(*.f64 (-.f64 y #s(literal 1 binary64)) y)
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (+ 1 y) y)
(/.f64 (-.f64 y #s(literal -1 binary64)) y)
(/ (+ 1 (* y (+ 1 y))) y)
(/.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) y)
(/ (+ 1 (* y (+ 1 (* y (+ 1 y))))) y)
(/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))) y)
(* x y)
(*.f64 y x)
(* y (+ x (* x y)))
(*.f64 (fma.f64 y x x) y)
(* y (+ x (* y (- (* y (- x (* -1 x))) (* -1 x)))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) y x) y x) y)
(* y (+ x (* y (- (* y (- (+ x (* y (- x (* -1 x)))) (* -1 x))) (* -1 x)))))
(.f64 (fma.f64 (fma.f64 (-.f64 y #s(literal -1 binary64)) (.f64 (*.f64 #s(literal 2 binary64) x) y) x) y x) y)
(* -1 (* x (pow y 2)))
(.f64 (.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
y
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
(* y (- 1 (/ 1 y)))
(-.f64 y #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(/ -1 (* x y))
(/.f64 #s(literal -1 binary64) (*.f64 y x))
(* -1 (* x (pow y 2)))
(.f64 (.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* (pow y 2) (- (/ 1 y) 1))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* -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 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 y)
(neg.f64 y)
(* -1 (* x (pow y 2)))
(.f64 (.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) y) y)) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) y) y)) y) #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)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(fma.f64 y y #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(+ (* -1 x) (* -1 (/ x y)))
(-.f64 (/.f64 (neg.f64 x) y) x)
(- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y))
(-.f64 (/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) x)
(- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2))))
(*.f64 (+.f64 (/.f64 x y) x) (-.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal 1 binary64)))
(* -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) x) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(pow y 2)
(*.f64 y y)
(* (pow y 2) (- 1 (/ 1 y)))
(*.f64 (-.f64 y #s(literal 1 binary64)) y)
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(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
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(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y))
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rewrite199.0ms (3.5%)

Memory

7.0MiB live, 163.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	121
0	43	118
1	170	115
2	1124	103
0	9967	101

Stop Event

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

Counts

19 → 1 908

Calls

Call 1

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

Outputs
#<batchref>
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eval633.0ms (11.3%)

Memory: 48.2MiB live, 413.3MiB allocated
Compiler: Compiled 41 025 to 3 212 computations (92.2% saved)

prune113.0ms (2%)

Memory

-11.3MiB live, 121.6MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	2 339	2	2 341
Fresh	0	1	1
Picked	3	2	5
Done	0	3	3
Total	2 342	8	2 350

Accuracy

100.0%

Counts

2 350 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.0%	(/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
▶	55.6%	(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y y) (neg y)) (*.f64 y y))))
▶	99.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 y #s(literal 1 binary64)) (.f64 x y))))
▶	55.0%	(.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (.f64 y x) #s(approx (- 1 y) (neg.f64 y))))
✓	55.7%	(.f64 (.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	62.9%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓	56.3%	#s(approx (* (* x y) (- 1 y)) (*.f64 y x))

Compiler

Compiled 65 to 55 computations (15.4% saved)

simplify221.0ms (3.9%)

Memory

-5.9MiB live, 108.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	#s(approx (+ (* y y) (neg y)) (*.f64 y y))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (+ (* y y) (neg y)) (*.f64 y y)))
cost-diff	960	(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y y) (neg y)) (*.f64 y y))))
cost-diff	0	(*.f64 x y)
cost-diff	0	(-.f64 y #s(literal 1 binary64))
cost-diff	0	(.f64 (-.f64 y #s(literal 1 binary64)) (.f64 x y))
cost-diff	1792	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 y #s(literal 1 binary64)) (.f64 x y))))
cost-diff	0	#s(approx (- 1 y) (neg.f64 y))
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 (*.f64 y x) #s(approx (- 1 y) (neg.f64 y)))
cost-diff	0	(fma.f64 y y #s(literal 1 binary64))

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	23	122
0	35	117
1	62	116
2	125	115
3	315	114
4	634	113
5	1481	113
6	3038	113
7	5101	113
8	5409	113
9	5526	113
10	5578	113
11	5605	113
12	6223	113
13	6606	113
14	6663	113
15	6663	113
16	7027	113
17	7567	113
18	7880	113
0	8018	113

Stop Event

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

Calls

Call 1

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

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

localize51.0ms (0.9%)

Memory

17.5MiB live, 92.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 y y)
accuracy	0.889091081718999	(/.f64 #s(literal -1 binary64) #s(approx (+ (* y y) (neg y)) (*.f64 y y)))
accuracy	3.9765845580154986	(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y y) (neg y)) (*.f64 y y))))
accuracy	29.911740693610348	#s(approx (+ (* y y) (neg y)) (*.f64 y y))
accuracy	0	(*.f64 x y)
accuracy	0.06478500976844201	(.f64 (-.f64 y #s(literal 1 binary64)) (.f64 x y))
accuracy	0.19140625	(/.f64 #s(literal -1 binary64) (.f64 (-.f64 y #s(literal 1 binary64)) (.f64 x y)))
accuracy	0.6806785994054172	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 y #s(literal 1 binary64)) (.f64 x y))))
accuracy	0	(neg.f64 y)
accuracy	4.697723912668436	(.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (.f64 y x) #s(approx (- 1 y) (neg.f64 y))))
accuracy	8.16721973791546	(/.f64 (*.f64 y x) #s(approx (- 1 y) (neg.f64 y)))
accuracy	30.417100307193078	#s(approx (- 1 y) (neg.f64 y))

Samples

38.0ms

256×

valid

Compiler

Compiled 105 to 21 computations (80% saved)

Precisions

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

ival-div: 9.0ms (34.6% of total)

ival-mult: 8.0ms (30.8% of total)

ival-sub: 4.0ms (15.4% of total)

ival-add: 2.0ms (7.7% of total)

ival-neg: 1.0ms (3.8% of total)

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

exact: 0.0ms (0% of total)

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

series42.0ms (0.8%)

Memory

-18.6MiB live, 59.6MiB allocated

Counts

15 → 276

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
23.0ms	y	@	0	((+ (* y y) 1) (/ (* y x) (- 1 y)) (* y x) (- 1 y) (/ 1 (/ -1 (* (- y 1) (* x y)))) (* (- y 1) (* x y)) (- y 1) (* x y) (/ x (/ -1 (+ (* y y) (neg y)))) (/ -1 (+ (* y y) (neg y))) (+ (* y y) (neg y)) (* y y) (* (+ (* y y) 1) (/ (* y x) (- 1 y))) (neg y) (/ -1 (* (- y 1) (* x y))))
5.0ms	x	@	inf	((+ (* y y) 1) (/ (* y x) (- 1 y)) (* y x) (- 1 y) (/ 1 (/ -1 (* (- y 1) (* x y)))) (* (- y 1) (* x y)) (- y 1) (* x y) (/ x (/ -1 (+ (* y y) (neg y)))) (/ -1 (+ (* y y) (neg y))) (+ (* y y) (neg y)) (* y y) (* (+ (* y y) 1) (/ (* y x) (- 1 y))) (neg y) (/ -1 (* (- y 1) (* x y))))
2.0ms	x	@	0	((+ (* y y) 1) (/ (* y x) (- 1 y)) (* y x) (- 1 y) (/ 1 (/ -1 (* (- y 1) (* x y)))) (* (- y 1) (* x y)) (- y 1) (* x y) (/ x (/ -1 (+ (* y y) (neg y)))) (/ -1 (+ (* y y) (neg y))) (+ (* y y) (neg y)) (* y y) (* (+ (* y y) 1) (/ (* y x) (- 1 y))) (neg y) (/ -1 (* (- y 1) (* x y))))
2.0ms	x	@	-inf	((+ (* y y) 1) (/ (* y x) (- 1 y)) (* y x) (- 1 y) (/ 1 (/ -1 (* (- y 1) (* x y)))) (* (- y 1) (* x y)) (- y 1) (* x y) (/ x (/ -1 (+ (* y y) (neg y)))) (/ -1 (+ (* y y) (neg y))) (+ (* y y) (neg y)) (* y y) (* (+ (* y y) 1) (/ (* y x) (- 1 y))) (neg y) (/ -1 (* (- y 1) (* x y))))
1.0ms	y	@	-inf	((+ (* y y) 1) (/ (* y x) (- 1 y)) (* y x) (- 1 y) (/ 1 (/ -1 (* (- y 1) (* x y)))) (* (- y 1) (* x y)) (- y 1) (* x y) (/ x (/ -1 (+ (* y y) (neg y)))) (/ -1 (+ (* y y) (neg y))) (+ (* y y) (neg y)) (* y y) (* (+ (* y y) 1) (/ (* y x) (- 1 y))) (neg y) (/ -1 (* (- y 1) (* x y))))

simplify157.0ms (2.8%)

Memory

33.9MiB live, 257.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	169	1896
1	524	1779
2	1418	1711
3	5051	1704
0	8330	1677

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 274

Calls

Call 1

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

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

rewrite136.0ms (2.4%)

Memory

-61.6MiB live, 206.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	112
0	35	109
1	136	106
2	893	100
0	9145	94

Stop Event

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

Counts

15 → 995

Calls

Call 1

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

Outputs
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eval208.0ms (3.7%)

Memory: 21.6MiB live, 326.5MiB allocated
Compiler: Compiled 20 434 to 2 815 computations (86.2% saved)

prune27.0ms (0.5%)

Memory

17.5MiB live, 94.2MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1 267	2	1 269
Fresh	0	0	0
Picked	2	1	3
Done	0	5	5
Total	1 269	8	1 277

Accuracy

100.0%

Counts

1 277 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.0%	(/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 x y)))
✓	55.6%	(/.f64 x (/.f64 #s(literal -1 binary64) #s(approx (+ (* y y) (neg y)) (*.f64 y y))))
	62.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (* (- y 1) (* x y)) (.f64 (.f64 x y) y))))
✓	55.7%	(.f64 (.f64 #s(approx (- 1 y) (neg.f64 y)) y) x)
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	62.9%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
	55.7%	(.f64 #s(approx (+ ( y y) 1) (.f64 y y)) (/.f64 (.f64 y x) #s(approx (- 1 y) (neg.f64 y))))
✓	56.3%	#s(approx (* (* x y) (- 1 y)) (*.f64 y x))

Compiler

Compiled 235 to 109 computations (53.6% saved)

regimes37.0ms (0.7%)

Memory

-32.5MiB live, 41.2MiB allocated

Counts

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

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

Calls

3 calls:

25.0ms	y
6.0ms	x
5.0ms	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes10.0ms (0.2%)

Memory

-14.4MiB live, 21.7MiB allocated

Counts

4 → 3

Calls

Call 1

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

6.0ms	x
2.0ms	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
2.0ms	y

Results

Accuracy	Segments	Branch
70.7%	3	`x`
99.0%	3	`y`
86.3%	2	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory

5.7MiB live, 5.7MiB 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
91.8%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB 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	x
1.0ms	y
1.0ms	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Results

Accuracy	Segments	Branch
56.3%	1	`x`
56.3%	1	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`
56.3%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch46.0ms (0.8%)

Memory

-11.8MiB live, 64.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
29.0ms	1.2590986254807234e-14	14109216.368278045
14.0ms	-1359196966.4939013	-1.2142033629107915e-8

Samples

14.0ms

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 (61.4% of total)

ival-sub: 2.0ms (30.7% 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

3.6MiB live, 3.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	1.2590986254807234e-14	14109216.368278045
1.0ms	-1359196966.4939013	-1.2142033629107915e-8

Compiler

Compiled 241 to 263 computations (-9.1% saved)

simplify36.0ms (0.6%)

Memory

16.8MiB live, 62.4MiB 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))

soundness496.0ms (8.9%)

Memory

-17.3MiB live, 182.2MiB 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)

preprocess36.0ms (0.6%)

Memory: -11.2MiB live, 106.3MiB 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%)

sample877.0ms (15.7%)

explain66.0ms (1.2%)

preprocess80.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify23.0ms (0.4%)

localize18.0ms (0.3%)

series11.0ms (0.2%)

simplify133.0ms (2.4%)

rewrite146.0ms (2.6%)

eval61.0ms (1.1%)

prune16.0ms (0.3%)

simplify303.0ms (5.4%)

localize55.0ms (1%)

series24.0ms (0.4%)

simplify146.0ms (2.6%)

rewrite237.0ms (4.2%)

eval415.0ms (7.4%)

prune94.0ms (1.7%)

simplify98.0ms (1.7%)

localize76.0ms (1.4%)

series27.0ms (0.5%)

simplify233.0ms (4.2%)

rewrite199.0ms (3.5%)

eval633.0ms (11.3%)

prune113.0ms (2%)

simplify221.0ms (3.9%)

localize51.0ms (0.9%)

series42.0ms (0.8%)

simplify157.0ms (2.8%)

rewrite136.0ms (2.4%)

eval208.0ms (3.7%)

prune27.0ms (0.5%)

regimes37.0ms (0.7%)

regimes10.0ms (0.2%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch46.0ms (0.8%)

bsearch2.0ms (0%)

simplify36.0ms (0.6%)

soundness496.0ms (8.9%)

preprocess36.0ms (0.6%)

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