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

0.7MiB live, 0.7MiB 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)

sample939.0ms (16.3%)

Memory

7.3MiB live, 697.0MiB allocated

Samples

612.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 330.0ms

ival-mult: 211.0ms (63.9% of total)

ival-sub: 105.0ms (31.8% of total)

ival-true: 7.0ms (2.1% of total)

exact: 5.0ms (1.5% of total)

ival-assert: 3.0ms (0.9% of total)

Bogosity

explain118.0ms (2%)

Memory

3.3MiB live, 85.7MiB 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

23.0ms

512×

valid

Compiler

Compiled 43 to 22 computations (48.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 7.0ms (66.9% of total)

ival-sub: 3.0ms (28.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess59.0ms (1%)

Memory

-3.7MiB live, 33.7MiB allocated

Algorithm

1×	egg-herbie

Rules

678×	`unsub-neg`
464×	`lower-fma.f64`
464×	`lower-fma.f32`
424×	`distribute-lft-in`
290×	`distribute-rgt-in`

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

0.7MiB live, 0.8MiB 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)

simplify37.0ms (0.6%)

Memory

-9.9MiB live, 28.2MiB 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))

Rules

464×	`lower-fma.f64`
464×	`lower-fma.f32`
280×	`lower-*.f32`
276×	`lower-*.f64`
174×	`distribute-lft-in`

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)

localize53.0ms (0.9%)

Memory

-6.3MiB live, 37.5MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0	(*.f64 x y)
accuracy	0.06640625	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Samples

48.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 6.0ms (73% of total)

ival-sub: 1.0ms (12.2% of total)

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

exact: 0.0ms (0% of total)

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

series7.0ms (0.1%)

Memory

12.9MiB live, 12.9MiB allocated

Counts

3 → 60

Calls

Call 1

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

Inputs

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

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

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

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

Calls

6 calls:

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

simplify156.0ms (2.7%)

Memory

-7.6MiB live, 103.9MiB allocated

Algorithm

1×	egg-herbie

Rules

4 438×	`lower-*.f64`
4 438×	`lower-*.f32`
4 216×	`lower-fma.f64`
4 216×	`lower-fma.f32`
1 642×	`cube-prod`

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)

rewrite177.0ms (3.1%)

Memory

17.8MiB live, 177.7MiB allocated

Rules

4 316×	`lower-fma.f64`
4 316×	`lower-fma.f32`
3 996×	`lower-/.f64`
3 996×	`lower-/.f32`
3 530×	`lower-*.f32`

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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eval72.0ms (1.3%)

Memory: -17.0MiB live, 141.8MiB allocated
Compiler: Compiled 11 115 to 1 282 computations (88.5% saved)

prune14.0ms (0.2%)

Memory

-9.3MiB live, 38.8MiB allocated

Pruning

8 alts after pruning (7 fresh and 1 done)

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

Accuracy

100.0%

Counts

486 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	90.4%	(fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x))
	99.8%	(/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
	71.7%	(.f64 (/.f64 (.f64 y x) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
▶	99.9%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
▶	59.5%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
▶	55.1%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))
▶	59.0%	#s(approx (* (* x y) (- 1 y)) (*.f64 y x))

Compiler

Compiled 127 to 96 computations (24.4% saved)

simplify39.0ms (0.7%)

Memory

15.0MiB live, 53.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Rules

608×	`lower-fma.f32`
606×	`lower-fma.f64`
424×	`lower-*.f32`
410×	`lower-*.f64`
198×	`associate-r`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	105
0	29	103
1	56	103
2	105	103
3	166	103
4	266	103
5	384	103
6	586	103
7	701	103
8	862	103
9	931	103
10	945	103
11	947	103
12	950	103
13	952	103
0	952	103

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize45.0ms (0.8%)

Memory

0.9MiB live, 121.4MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 (neg.f64 y) y)
accuracy	0	(*.f64 y x)
accuracy	0	(neg.f64 y)
accuracy	6.14030724174437	(fma.f64 (.f64 (neg.f64 y) y) x (.f64 y x))
accuracy	0	(*.f64 x y)
accuracy	0	(neg.f64 y)
accuracy	0.06640625	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
accuracy	33.11670051400333	#s(approx (- 1 y) (neg.f64 y))
accuracy	0	(*.f64 (neg.f64 y) y)
accuracy	0	(neg.f64 y)
accuracy	6.829328293286127	(.f64 (.f64 (neg.f64 y) y) x)
accuracy	25.87684197038898	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))
accuracy	0	(*.f64 y x)
accuracy	26.25580661882639	#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0078125	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy	0.0625	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)

Samples

33.0ms

256×

valid

Compiler

Compiled 91 to 15 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 10.0ms (62.2% of total)

ival-sub: 3.0ms (18.7% of total)

ival-add: 1.0ms (6.2% of total)

ival-neg: 1.0ms (6.2% of total)

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

exact: 0.0ms (0% of total)

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

series18.0ms (0.3%)

Memory

-1.5MiB live, 37.1MiB allocated

Counts

13 → 264

Calls

Call 1

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

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

Calls

6 calls:

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

simplify258.0ms (4.5%)

Memory

-5.2MiB live, 156.4MiB allocated

Algorithm

1×	egg-herbie

Rules

6 400×	`lower-fma.f64`
6 400×	`lower-fma.f32`
4 090×	`lower-*.f64`
4 090×	`lower-*.f32`
1 484×	`lower-/.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	1474
1	122	1348
2	284	1348
3	489	1348
4	1509	1348
5	2799	1348
6	3799	1348
7	4711	1348
8	5497	1348
9	5744	1348
10	5813	1348
11	5870	1348
12	6341	1348
13	6583	1348
14	6769	1348
15	6836	1348
16	6888	1348
17	6994	1348
18	7837	1348
0	8134	1348

Stop Event

1×	iter limit
1×	node limit

Counts

264 → 263

Calls

Call 1

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

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

rewrite149.0ms (2.6%)

Memory

28.9MiB live, 222.4MiB allocated

Rules

5 400×	`lower-*.f32`
5 386×	`lower-*.f64`
4 154×	`lower-fma.f32`
4 152×	`lower-fma.f64`
2 560×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	83
0	29	81
1	80	81
2	413	81
3	4046	75
0	11640	70

Stop Event

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

Counts

13 → 632

Calls

Call 1

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

Outputs
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eval125.0ms (2.2%)

Memory: -1.6MiB live, 309.5MiB allocated
Compiler: Compiled 15 587 to 1 557 computations (90% saved)

prune57.0ms (1%)

Memory

-19.9MiB live, 146.5MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	1 064	4	1 068
Fresh	1	1	2
Picked	2	3	5
Done	0	1	1
Total	1 067	9	1 076

Accuracy

100.0%

Counts

1 076 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(*.f64 (fma.f64 (neg.f64 x) y x) y)
▶	71.7%	(.f64 (/.f64 (.f64 y x) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
▶	99.9%	(*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) y)
▶	13.5%	(.f64 (.f64 #s(approx (- 1 y) y) y) x)
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	59.5%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓	55.1%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))
▶	18.8%	#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
✓	59.0%	#s(approx (* (* x y) (- 1 y)) (*.f64 y x))

Compiler

Compiled 113 to 86 computations (23.9% saved)

simplify163.0ms (2.8%)

Memory

26.3MiB live, 263.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 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	0	(*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) y)
cost-diff	6848	(/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
cost-diff	0	(fma.f64 y y #s(literal 1 binary64))
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64)))
cost-diff	1792	(.f64 (/.f64 (.f64 y x) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
cost-diff	0	#s(approx (- 1 y) y)
cost-diff	0	(*.f64 #s(approx (- 1 y) y) y)
cost-diff	0	(.f64 (.f64 #s(approx (- 1 y) y) y) x)
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) y)
cost-diff	0	#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
cost-diff	0	(neg.f64 x)
cost-diff	0	(fma.f64 (neg.f64 x) y x)
cost-diff	0	(*.f64 (fma.f64 (neg.f64 x) y x) y)

Rules

20 494×	`lower-fma.f32`
20 490×	`lower-fma.f64`
4 470×	`lower-*.f32`
4 456×	`lower-*.f64`
1 800×	`lower-neg.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	133
0	41	119
1	72	119
2	177	119
3	622	119
4	2190	119
5	4996	119
0	8294	119

Stop Event

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

Calls

Call 1

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

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

localize61.0ms (1%)

Memory

2.0MiB live, 119.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0078125	(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
accuracy	0.0625	(*.f64 (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) y)
accuracy	0.08203125	(/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
accuracy	0	(*.f64 y x)
accuracy	0.02734375	(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
accuracy	9.389791810287782	(/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64)))
accuracy	10.333977099274112	(.f64 (/.f64 (.f64 y x) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
accuracy	0.01171875	(*.f64 #s(approx (- 1 y) y) y)
accuracy	2.885611713416142	(.f64 (.f64 #s(approx (- 1 y) y) y) x)
accuracy	62.46178362802507	#s(approx (- 1 y) y)
accuracy	0	(*.f64 (neg.f64 x) y)
accuracy	0	(neg.f64 x)
accuracy	51.98246963291561	#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
accuracy	0	(fma.f64 (neg.f64 x) y x)
accuracy	0	(neg.f64 x)
accuracy	0.0625	(*.f64 (fma.f64 (neg.f64 x) y x) y)

Samples

45.0ms

256×

valid

Compiler

Compiled 131 to 24 computations (81.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 17.0ms (55.1% of total)

ival-div: 4.0ms (13% of total)

ival-pow: 4.0ms (13% of total)

ival-add: 2.0ms (6.5% of total)

ival-sub: 1.0ms (3.2% of total)

ival-neg: 1.0ms (3.2% of total)

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

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

exact: 0.0ms (0% of total)

series21.0ms (0.4%)

Memory

-2.4MiB live, 40.2MiB allocated

Counts

17 → 324

Calls

Call 1

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

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

Calls

6 calls:

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

simplify189.0ms (3.3%)

Memory

-17.8MiB live, 259.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 630×	`lower-fma.f64`
14 630×	`lower-fma.f32`
3 364×	`lower-*.f64`
3 364×	`lower-*.f32`
2 640×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	2012
1	427	1842
2	1122	1812
3	3927	1788
4	7853	1788
0	8424	1770

Stop Event

1×	iter limit
1×	node limit

Counts

324 → 321

Calls

Call 1

Inputs
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
y
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -1 y)))
(* y (+ 1 (* -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 (pow y 2)))))
(* y (+ x (* (pow y 2) (- (* x (pow y 2)) x))))
(* y (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) (* -1 x))) x))))
(* x y)
(* x y)
(* x y)
(* x y)
1
(+ 1 (pow y 2))
(+ 1 (pow y 2))
(+ 1 (pow y 2))
x
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(+ x (* -1 (* x y)))
(* x y)
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
(* y (+ x (* -1 (* x y))))
1
(+ 1 y)
(+ 1 (* y (+ 1 y)))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
1
(+ 1 (* -1 y))
(+ 1 (* -1 y))
(+ 1 (* -1 y))
1
(+ 1 (* -1 y))
(+ 1 (* y (- y 1)))
(+ 1 (* y (- (* y (+ 1 (* -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 y))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x 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 (* 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 (* -1 (/ x (pow y 2)))) y)
(/ (- (+ x (/ x (pow y 4))) (/ x (pow y 2))) y)
(/ (- (+ x (* -1 (/ x (pow y 6)))) (+ (* -1 (/ x (pow y 4))) (/ x (pow y 2)))) y)
(* x y)
(* x y)
(* x y)
(* 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 y))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* y (+ (* -1 x) (/ x y)))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(/ -1 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 (pow y 3))
(* (pow y 3) (- (/ 1 y) 1))
(* (pow y 3) (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))))
(* (pow y 3) (- (+ (/ 1 y) (/ 1 (pow y 3))) (+ 1 (/ 1 (pow y 2)))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (* x y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -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 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(/ x y)
(* -1 (/ (+ (* -1 x) (/ x (pow y 2))) y))
(* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 4))) (/ x (pow y 2)))) y))
(* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 4))) (+ (/ x (pow y 2)) (/ x (pow y 6))))) y))
(* x y)
(* x y)
(* x y)
(* 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 y))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* y (+ x (* -1 (/ x y)))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(/ -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 (pow y 3))
(* -1 (* (pow y 3) (- 1 (/ 1 y))))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))))
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* -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) (+ 1 (pow y 2)))
(/ (* x y) (+ 1 (pow y 2)))
(/ (* x y) (+ 1 (pow y 2)))
(/ (* x y) (+ 1 (pow y 2)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (* y (+ 1 (* -1 y))))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* x (+ 1 (* -1 y)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* -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) (+ 1 (pow y 2)))
(/ (* x y) (+ 1 (pow y 2)))
(/ (* x y) (+ 1 (pow y 2)))
(/ (* x y) (+ 1 (pow y 2)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (* y (- y 1))))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 (* x (- y 1)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* -1 (* x y))
(* x (* y (- 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) (+ 1 (pow y 2)))
(/ (* x y) (+ 1 (pow y 2)))
(/ (* x y) (+ 1 (pow y 2)))
(/ (* x y) (+ 1 (pow y 2)))
(* x y)
(* x y)
(* x y)
(* x y)
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (- 1 y))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))
(* x (* y (- 1 y)))

Outputs
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(.f64 (-.f64 x (.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(.f64 (-.f64 x (.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(.f64 (-.f64 x (.f64 y x)) y)
x
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(.f64 (-.f64 x (.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(.f64 (-.f64 x (.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(.f64 (-.f64 x (.f64 y x)) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(.f64 (-.f64 x (.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(.f64 (-.f64 x (.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(.f64 (-.f64 x (.f64 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)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(.f64 (-.f64 x (.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(.f64 (-.f64 x (.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(.f64 (-.f64 x (.f64 y x)) y)
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x (pow y 2)))))
(*.f64 x (-.f64 y (pow.f64 y #s(literal 3 binary64))))
(* y (+ x (* (pow y 2) (- (* x (pow y 2)) x))))
(.f64 (fma.f64 (.f64 y x) (-.f64 (pow.f64 y #s(literal 3 binary64)) y) x) y)
(* y (+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) (* -1 x))) x))))
(.f64 (.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 y) (*.f64 y x) 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 (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
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
(+ x (* -1 (* x y)))
(-.f64 x (*.f64 y x))
(* x y)
(*.f64 y x)
(* y (+ x (* -1 (* x y))))
(.f64 (-.f64 x (.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(.f64 (-.f64 x (.f64 y x)) y)
(* y (+ x (* -1 (* x y))))
(.f64 (-.f64 x (.f64 y x)) y)
1
#s(literal 1 binary64)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (* y (+ 1 y)))
(fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 1 y)))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 y))
(-.f64 #s(literal 1 binary64) y)
(+ 1 (* y (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.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 x (.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 y x))
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 y x))
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 y x))
(* -1 (* x (pow y 2)))
(.f64 (.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x (pow y 2)))
(.f64 (.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 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 (* x (pow y 2)))
(.f64 (.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(/ x y)
(/.f64 x y)
(/ (+ x (* -1 (/ x (pow y 2)))) y)
(/.f64 (-.f64 x (/.f64 (/.f64 x y) y)) y)
(/ (- (+ x (/ x (pow y 4))) (/ x (pow y 2))) y)
(-.f64 (/.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) y) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(/ (- (+ x (* -1 (/ x (pow y 6)))) (+ (* -1 (/ x (pow y 4))) (/ x (pow y 2)))) y)
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (/.f64 (/.f64 x y) y)) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(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 y))
(*.f64 (neg.f64 x) y)
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 y x))
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 y x))
(* y (+ (* -1 x) (/ x y)))
(-.f64 x (*.f64 y x))
(* -1 (* x (pow y 2)))
(.f64 (.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(/ -1 y)
(/.f64 #s(literal -1 binary64) y)
(* -1 (/ (+ 1 (/ 1 y)) y))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y)
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) #s(literal 1 binary64)) 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 (pow y 3))
(pow.f64 (neg.f64 y) #s(literal 3 binary64))
(* (pow y 3) (- (/ 1 y) 1))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) y)
(* (pow y 3) (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y)
(* (pow y 3) (- (+ (/ 1 y) (/ 1 (pow y 3))) (+ 1 (/ 1 (pow y 2)))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.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 x (.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 y x))
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 y x))
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 y x))
(* -1 (* x (pow y 2)))
(.f64 (.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x (pow y 2)))
(.f64 (.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 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)
(* -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)
(* -1 (* x (pow y 2)))
(.f64 (.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(/ x y)
(/.f64 x y)
(* -1 (/ (+ (* -1 x) (/ x (pow y 2))) y))
(/.f64 (-.f64 x (/.f64 (/.f64 x y) y)) y)
(* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 4))) (/ x (pow y 2)))) y))
(-.f64 (/.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) y) (/.f64 x (pow.f64 y #s(literal 3 binary64))))
(* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 4))) (+ (/ x (pow y 2)) (/ x (pow y 6))))) y))
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) x) (/.f64 x (pow.f64 y #s(literal 6 binary64)))) (/.f64 (/.f64 x y) y)) y)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(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 y))
(*.f64 (neg.f64 x) y)
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 y x))
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 y x))
(* -1 (* y (+ x (* -1 (/ x y)))))
(-.f64 x (*.f64 y x))
(* -1 (* x (pow y 2)))
(.f64 (.f64 (neg.f64 y) y) x)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (-.f64 x (.f64 y x)) y)
(/ -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) (/ 1 (pow y 2)))) y))
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y)
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) #s(literal 1 binary64)) y)
(* -1 y)
(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)
(* -1 (pow y 3))
(pow.f64 (neg.f64 y) #s(literal 3 binary64))
(* -1 (* (pow y 3) (- 1 (/ 1 y))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) y)
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))))
(*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) y)
(* -1 (* (pow y 3) (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))) y)))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
(* x (* y (+ 1 (* -1 y))))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (+ 1 (* -1 y))))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (+ 1 (* -1 y))))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (+ 1 (* -1 y))))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 y x))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 y x))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 y x))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 y x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(/ (* x y) (+ 1 (pow y 2)))
(/.f64 x (-.f64 y (/.f64 #s(literal -1 binary64) y)))
(/ (* x y) (+ 1 (pow y 2)))
(/.f64 x (-.f64 y (/.f64 #s(literal -1 binary64) y)))
(/ (* x y) (+ 1 (pow y 2)))
(/.f64 x (-.f64 y (/.f64 #s(literal -1 binary64) y)))
(/ (* x y) (+ 1 (pow y 2)))
(/.f64 x (-.f64 y (/.f64 #s(literal -1 binary64) y)))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (+ 1 (* -1 y))))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (+ 1 (* -1 y))))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (+ 1 (* -1 y))))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (+ 1 (* -1 y))))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 y x))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 y x))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 y x))
(* x (+ 1 (* -1 y)))
(-.f64 x (*.f64 y x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(/ (* x y) (+ 1 (pow y 2)))
(/.f64 x (-.f64 y (/.f64 #s(literal -1 binary64) y)))
(/ (* x y) (+ 1 (pow y 2)))
(/.f64 x (-.f64 y (/.f64 #s(literal -1 binary64) y)))
(/ (* x y) (+ 1 (pow y 2)))
(/.f64 x (-.f64 y (/.f64 #s(literal -1 binary64) y)))
(/ (* x y) (+ 1 (pow y 2)))
(/.f64 x (-.f64 y (/.f64 #s(literal -1 binary64) y)))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(.f64 (-.f64 x (.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(.f64 (-.f64 x (.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(.f64 (-.f64 x (.f64 y x)) y)
(* -1 (* x (* y (- y 1))))
(.f64 (-.f64 x (.f64 y x)) y)
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 (* x (- y 1)))
(-.f64 x (*.f64 y x))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* -1 (* x y))
(*.f64 (neg.f64 x) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(/ (* x y) (+ 1 (pow y 2)))
(/.f64 x (-.f64 y (/.f64 #s(literal -1 binary64) y)))
(/ (* x y) (+ 1 (pow y 2)))
(/.f64 x (-.f64 y (/.f64 #s(literal -1 binary64) y)))
(/ (* x y) (+ 1 (pow y 2)))
(/.f64 x (-.f64 y (/.f64 #s(literal -1 binary64) y)))
(/ (* x y) (+ 1 (pow y 2)))
(/.f64 x (-.f64 y (/.f64 #s(literal -1 binary64) y)))
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x y)
(*.f64 y x)
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (- 1 y))
(-.f64 x (*.f64 y x))
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)
(* x (* y (- 1 y)))
(.f64 (-.f64 x (.f64 y x)) y)

rewrite211.0ms (3.7%)

Memory

12.9MiB live, 373.8MiB allocated

Rules

9 078×	`lower-fma.f32`
9 074×	`lower-fma.f64`
5 868×	`lower-*.f32`
5 854×	`lower-*.f64`
4 500×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	115
0	41	101
1	128	101
2	839	101
0	8715	101

Stop Event

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

Counts

17 → 2 803

Calls

Call 1

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

Outputs
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eval596.0ms (10.3%)

Memory: 21.3MiB live, 1 057.5MiB allocated
Compiler: Compiled 80 875 to 5 170 computations (93.6% saved)

prune130.0ms (2.2%)

Memory

14.7MiB live, 257.1MiB allocated

Pruning

12 alts after pruning (5 fresh and 7 done)

	Pruned	Kept	Total
New	3 390	5	3 395
Fresh	0	0	0
Picked	2	3	5
Done	0	4	4
Total	3 392	12	3 404

Accuracy

100.0%

Counts

3 404 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	88.8%	(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) y) x) (+.f64 #s(literal 1 binary64) y))
▶	99.7%	(/.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) x))
✓	99.9%	(*.f64 (fma.f64 (neg.f64 x) y x) y)
▶	72.5%	(.f64 (/.f64 (.f64 (*.f64 (neg.f64 x) x) (neg.f64 (-.f64 #s(literal 1 binary64) y))) x) y)
▶	59.5%	(*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y)
✓	13.5%	(.f64 (.f64 #s(approx (- 1 y) y) y) x)
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	59.5%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
▶	32.8%	(.f64 #s(approx (/ ( y x) (+ (* y y) 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
✓	55.1%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))
✓	18.8%	#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
✓	59.0%	#s(approx (* (* x y) (- 1 y)) (*.f64 y x))

Compiler

Compiled 157 to 125 computations (20.4% saved)

simplify103.0ms (1.8%)

Memory

-4.6MiB live, 136.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 (.f64 (*.f64 (neg.f64 x) x) (neg.f64 (-.f64 #s(literal 1 binary64) y))) x) y)
cost-diff	128	(neg.f64 (-.f64 #s(literal 1 binary64) y))
cost-diff	128	(.f64 (.f64 (neg.f64 x) x) (neg.f64 (-.f64 #s(literal 1 binary64) y)))
cost-diff	1024	(/.f64 (.f64 (.f64 (neg.f64 x) x) (neg.f64 (-.f64 #s(literal 1 binary64) y))) x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(-.f64 #s(literal 1 binary64) (*.f64 y y))
cost-diff	0	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) y) x)
cost-diff	0	(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) y) x) (+.f64 #s(literal 1 binary64) y))
cost-diff	0	(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
cost-diff	0	(/.f64 x y)
cost-diff	0	#s(approx (/ (* y x) (+ (* y y) 1)) (/.f64 x y))
cost-diff	0	(.f64 #s(approx (/ ( y x) (+ (* y y) 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
cost-diff	0	(/.f64 #s(literal -1 binary64) y)
cost-diff	0	#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
cost-diff	0	(/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
cost-diff	0	(*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y)
cost-diff	0	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) x)
cost-diff	0	(neg.f64 y)
cost-diff	1600	(/.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) x))

Rules

6 398×	`lower-fma.f32`
6 396×	`lower-fma.f64`
2 646×	`lower-*.f32`
2 628×	`lower-*.f64`
1 664×	`unsub-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	36	216
0	60	213
1	110	210
2	296	202
3	1055	192
4	3169	192
5	6214	192
0	8104	192

Stop Event

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

Calls

Call 1

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

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

localize86.0ms (1.5%)

Memory

-10.5MiB live, 187.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(neg.f64 x)
accuracy	0.0625	(.f64 (/.f64 (.f64 (*.f64 (neg.f64 x) x) (neg.f64 (-.f64 #s(literal 1 binary64) y))) x) y)
accuracy	3.9423419145391048	(.f64 (.f64 (neg.f64 x) x) (neg.f64 (-.f64 #s(literal 1 binary64) y)))
accuracy	20.91599151342396	(/.f64 (.f64 (.f64 (neg.f64 x) x) (neg.f64 (-.f64 #s(literal 1 binary64) y))) x)
accuracy	0.0078125	(-.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	0.0234375	(.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) y)
accuracy	2.8311619685546643	(.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) y) x)
accuracy	4.252014962824693	(/.f64 (.f64 (.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) y) x) (+.f64 #s(literal 1 binary64) y))
accuracy	0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.02734375	(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))
accuracy	10.333977099274112	(.f64 #s(approx (/ ( y x) (+ (* y y) 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
accuracy	32.66742776924175	#s(approx (/ (* y x) (+ (* y y) 1)) (/.f64 x y))
accuracy	0	(/.f64 #s(literal -1 binary64) y)
accuracy	0.0625	(*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y)
accuracy	0.08203125	(/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
accuracy	33.31413976061832	#s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))
accuracy	0	(neg.f64 y)
accuracy	0.0078125	(/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))
accuracy	0.09375	(/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) x)
accuracy	0.16796875	(/.f64 (neg.f64 y) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) x))

Samples

65.0ms

256×

valid

Compiler

Compiled 203 to 33 computations (83.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-mult: 19.0ms (40.8% of total)

ival-div: 15.0ms (32.2% of total)

ival-add: 3.0ms (6.4% of total)

ival-sub: 3.0ms (6.4% of total)

ival-neg: 3.0ms (6.4% of total)

ival-pow: 3.0ms (6.4% of total)

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

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

exact: 0.0ms (0% of total)

series69.0ms (1.2%)

Memory

-4.4MiB live, 71.9MiB allocated

Counts

23 → 420

Calls

Call 1

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

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

Calls

6 calls:

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

simplify171.0ms (3%)

Memory

13.6MiB live, 211.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 856×	`lower-fma.f64`
9 856×	`lower-fma.f32`
3 706×	`lower-*.f64`
3 706×	`lower-*.f32`
2 044×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	210	2911
1	622	2664
2	1709	2558
3	4722	2529
0	8345	2503

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 415

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

rewrite199.0ms (3.4%)

Memory

-34.0MiB live, 298.1MiB allocated

Rules

5 742×	`lower-fma.f32`
5 740×	`lower-fma.f64`
4 910×	`lower-*.f32`
4 892×	`lower-*.f64`
3 962×	`lower-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	36	183
0	60	177
1	204	168
2	1308	157
0	9060	157

Stop Event

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

Counts

23 → 1 826

Calls

Call 1

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

Outputs
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eval374.0ms (6.5%)

Memory: 67.4MiB live, 786.2MiB allocated
Compiler: Compiled 48 765 to 5 308 computations (89.1% saved)

prune60.0ms (1%)

Memory

0.7MiB live, 160.1MiB allocated

Pruning

13 alts after pruning (5 fresh and 8 done)

	Pruned	Kept	Total
New	2 518	5	2 523
Fresh	0	0	0
Picked	4	1	5
Done	0	7	7
Total	2 522	13	2 535

Accuracy

100.0%

Counts

2 535 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.4%	(/.f64 (*.f64 x y) #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)))
	99.7%	(/.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) x)))
	59.4%	(/.f64 y (/.f64 #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y)) x))
✓	99.9%	(*.f64 (fma.f64 (neg.f64 x) y x) y)
	48.4%	(.f64 (/.f64 #s(approx ( (* (neg x) x) (neg (- 1 y))) (.f64 (.f64 (neg.f64 x) x) y)) x) y)
✓	59.5%	(*.f64 (/.f64 x #s(approx (pow (- 1 y) -1) (/.f64 #s(literal -1 binary64) y))) y)
✓	13.5%	(.f64 (.f64 #s(approx (- 1 y) y) y) x)
✓	99.9%	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
✓	59.5%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
	32.3%	(.f64 #s(approx (/ ( y x) (+ (* y y) 1)) (/.f64 x y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(approx (- 1 y) (neg.f64 y))))
✓	55.1%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))
✓	18.8%	#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
✓	59.0%	#s(approx (* (* x y) (- 1 y)) (*.f64 y x))

Compiler

Compiled 302 to 152 computations (49.7% saved)

regimes23.0ms (0.4%)

Memory

-7.2MiB live, 36.7MiB allocated

Counts

22 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
6.0ms	x
6.0ms	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)

regimes11.0ms (0.2%)

Memory

-20.4MiB live, 17.8MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

5.0ms	y
3.0ms	x
3.0ms	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes7.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Counts

5 → 3

Calls

Call 1

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

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:

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

Results

Accuracy	Segments	Branch
73.1%	4	`x`
97.5%	3	`y`
89.9%	2	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory

5.2MiB live, 5.2MiB allocated

Counts

4 → 3

Calls

Call 1

Inputs
#s(approx (* (* x y) (- 1 y)) (*.f64 y x))
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))
(.f64 (.f64 #s(approx (- 1 y) y) 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
93.1%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes6.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
59.0%	1	`x`
59.0%	1	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`
65.1%	2	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes6.0ms (0.1%)

Memory

-25.9MiB live, 12.4MiB 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:

3.0ms	y
1.0ms	x
1.0ms	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Results

Accuracy	Segments	Branch
59.0%	1	`x`
59.0%	1	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`
59.0%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch28.0ms (0.5%)

Memory

9.1MiB live, 46.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	0.9824173618145615	1.2495571554999126e+27
9.0ms	-532.6416129294325	-0.26952924940940565

Samples

15.0ms

304×

valid

Compiler

Compiled 219 to 239 computations (-9.1% saved)

Precisions

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

ival-mult: 4.0ms (67.8% of total)

ival-sub: 1.0ms (17% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

4.1MiB live, 4.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.9824173618145615	1.2495571554999126e+27
1.0ms	-532.6416129294325	-0.26952924940940565

Compiler

Compiled 219 to 239 computations (-9.1% saved)

bsearch1.0ms (0%)

Memory

2.3MiB live, 2.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	0.9824173618145615	1.2495571554999126e+27

Compiler

Compiled 109 to 132 computations (-21.1% saved)

simplify28.0ms (0.5%)

Memory

-26.8MiB live, 43.7MiB allocated

Algorithm

1×	egg-herbie

Rules

26×	`-commutative-binary64-.f64`
12×	`neg-sub0-binary64--.f64-neg.f64`
12×	`+-commutative-binary64-+.f64`
12×	`neg-mul-1-binary64-*.f64-neg.f64`
12×	`sub-neg-binary64-neg.f64-+.f64--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	138
1	48	138
2	63	138
3	75	138
4	79	138
5	80	138

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness869.0ms (15%)

Memory

-20.9MiB live, 371.4MiB allocated

Rules

5 400×	`lower-*.f32`
5 386×	`lower-*.f64`
4 438×	`lower-*.f64`
4 438×	`lower-*.f32`
4 316×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	83
0	29	81
1	80	81
2	413	81
3	4046	75
0	11640	70
0	6	13
0	9	13
1	30	13
2	165	13
3	1343	13
0	9562	12
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
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 128 to 64 computations (50% saved)

preprocess43.0ms (0.7%)

Memory: 14.9MiB live, 95.0MiB allocated
Remove: (negabs x)
Compiler: Compiled 208 to 84 computations (59.6% 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	19	105
0	29	103
1	56	103
2	105	103
3	166	103
4	266	103
5	384	103
6	586	103
7	701	103
8	862	103
9	931	103
10	945	103
11	947	103
12	950	103
13	952	103
0	952	103

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	19	105
0	29	103
1	56	103
2	105	103
3	166	103
4	266	103
5	384	103
6	586	103
7	701	103
8	862	103
9	931	103
10	945	103
11	947	103
12	950	103
13	952	103
0	952	103

start0.0ms (0%)

analyze0.0ms (0%)

sample939.0ms (16.3%)

explain118.0ms (2%)

preprocess59.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify37.0ms (0.6%)

localize53.0ms (0.9%)

series7.0ms (0.1%)

simplify156.0ms (2.7%)

rewrite177.0ms (3.1%)

eval72.0ms (1.3%)

prune14.0ms (0.2%)

simplify39.0ms (0.7%)

localize45.0ms (0.8%)

series18.0ms (0.3%)

simplify258.0ms (4.5%)

rewrite149.0ms (2.6%)

eval125.0ms (2.2%)

prune57.0ms (1%)

simplify163.0ms (2.8%)

localize61.0ms (1%)

series21.0ms (0.4%)

simplify189.0ms (3.3%)

rewrite211.0ms (3.7%)

eval596.0ms (10.3%)

prune130.0ms (2.2%)

simplify103.0ms (1.8%)

localize86.0ms (1.5%)

series69.0ms (1.2%)

simplify171.0ms (3%)

rewrite199.0ms (3.4%)

eval374.0ms (6.5%)

prune60.0ms (1%)

regimes23.0ms (0.4%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

regimes2.0ms (0%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch28.0ms (0.5%)

bsearch2.0ms (0%)

bsearch1.0ms (0%)

simplify28.0ms (0.5%)

soundness869.0ms (15%)

preprocess43.0ms (0.7%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	19	105
0	29	103
1	56	103
2	105	103
3	166	103
4	266	103
5	384	103
6	586	103
7	701	103
8	862	103
9	931	103
10	945	103
11	947	103
12	950	103
13	952	103
0	952	103