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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.6s (23.9%)

Memory

-63.1MiB live, 1 051.2MiB allocated

Samples

732.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 379.0ms

ival-sub: 215.0ms (56.7% of total)

ival-mult: 149.0ms (39.3% of total)

ival-true: 6.0ms (1.6% of total)

exact: 5.0ms (1.3% of total)

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

Bogosity

explain61.0ms (0.9%)

Memory

3.6MiB live, 96.0MiB 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

26.0ms

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: 6.0ms (59% of total)

ival-sub: 3.0ms (29.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess40.0ms (0.6%)

Memory

-29.7MiB live, 27.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

4.4MiB live, 4.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	16
0	9	16
1	15	16
2	22	16
3	24	16
0	24	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize15.0ms (0.2%)

Memory

22.0MiB live, 22.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0	(*.f64 x y)
accuracy	0.046875	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Samples

11.0ms

256×

valid

Compiler

Compiled 18 to 8 computations (55.6% saved)

Precisions

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

ival-mult: 3.0ms (60.8% of total)

ival-sub: 1.0ms (20.3% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

3 → 10

Calls

Call 1

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

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

Calls

6 calls:

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

simplify85.0ms (1.3%)

Memory

-0.8MiB live, 43.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	45
1	71	42
2	153	42
3	440	42
4	1358	42
5	3788	42
6	5687	42
7	6854	42
8	7772	42
0	8095	42

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 10

Calls

Call 1

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

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

rewrite252.0ms (3.9%)

Memory

-13.2MiB live, 165.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
0	9	13
1	29	13
2	139	13
3	1024	13
0	9488	12

Stop Event

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

Counts

3 → 400

Calls

Call 1

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

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

eval81.0ms (1.2%)

Memory: 16.3MiB live, 106.0MiB allocated
Compiler: Compiled 10 979 to 1 043 computations (90.5% saved)

prune12.0ms (0.2%)

Memory

-28.0MiB live, 30.4MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	399	7	406
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	400	7	407

Accuracy

100.0%

Counts

407 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 y x (.f64 (.f64 y x) (neg.f64 y)))
	87.8%	(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal -1 binary64)) y) x) (-.f64 #s(literal -1 binary64) y))
	68.1%	(.f64 (/.f64 (.f64 y x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))))
▶	99.9%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
▶	66.9%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
▶	55.6%	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
▶	62.9%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))

Compiler

Compiled 174 to 124 computations (28.7% saved)

simplify35.0ms (0.5%)

Memory

0.5MiB live, 45.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 (.f64 y x) (neg.f64 y))
cost-diff	2	(fma.f64 y x (.f64 (.f64 y x) (neg.f64 y)))
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	#s(approx (- 1 y) #s(literal 1 binary64))
cost-diff	0	(*.f64 x y)
cost-diff	0	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
cost-diff	0	(-.f64 #s(literal 1 binary64) y)
cost-diff	0	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
cost-diff	0	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	111
0	33	109
1	67	109
2	132	109
3	209	109
4	382	109
5	655	109
6	971	109
7	1375	109
8	1525	109
9	1546	109
10	1546	109
0	1546	109

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

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

localize153.0ms (2.4%)

Memory

20.9MiB live, 65.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 y x (.f64 (.f64 y x) (neg.f64 y)))
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(neg.f64 y)
accuracy	0.109375	(.f64 (.f64 y x) (neg.f64 y))
accuracy	0.0	(*.f64 x y)
accuracy	0.0	(neg.f64 y)
accuracy	0.046875	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
accuracy	30.28614337558979	#s(approx (- 1 y) (neg.f64 y))
accuracy	0.0	(*.f64 (neg.f64 y) y)
accuracy	0.0	(neg.f64 y)
accuracy	6.268433814130359	(.f64 (.f64 (neg.f64 y) y) x)
accuracy	21.140452635849474	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))
accuracy	0.0	(*.f64 x y)
accuracy	0.046875	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
accuracy	32.49067892504783	#s(approx (- 1 y) #s(literal 1 binary64))
accuracy	0.0	(-.f64 #s(literal 1 binary64) y)
accuracy	0.0	(*.f64 (-.f64 #s(literal 1 binary64) y) x)
accuracy	0.0390625	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)

Samples

142.0ms

256×

valid

Compiler

Compiled 97 to 16 computations (83.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-add: 115.0ms (88.6% of total)

ival-mult: 12.0ms (9.3% of total)

ival-sub: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

16.4MiB live, 16.4MiB allocated

Counts

15 → 19

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

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

Calls

6 calls:

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

simplify105.0ms (1.6%)

Memory

12.2MiB live, 56.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	88
1	127	85
2	294	85
3	910	85
4	1969	85
5	3783	85
6	5630	85
7	6784	85
8	7672	85
0	8015	85

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 18

Calls

Call 1

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

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

rewrite311.0ms (4.8%)

Memory

-32.0MiB live, 302.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	92
0	33	90
1	92	90
2	456	90
3	4313	87
0	9012	84

Stop Event

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

Counts

15 → 946

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

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

eval102.0ms (1.6%)

Memory: -2.0MiB live, 231.6MiB allocated
Compiler: Compiled 10 101 to 1 246 computations (87.7% saved)

prune20.0ms (0.3%)

Memory

5.8MiB live, 59.9MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	601	1	602
Fresh	1	1	2
Picked	0	5	5
Done	0	0	0
Total	602	7	609

Accuracy

100.0%

Counts

609 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.7%	(fma.f64 (.f64 (neg.f64 y) y) x (.f64 x y))
✓	99.9%	(fma.f64 y x (.f64 (.f64 y x) (neg.f64 y)))
▶	68.1%	(.f64 (/.f64 (.f64 y x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))))
✓	99.9%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓	66.9%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓	55.6%	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
✓	62.9%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))

Compiler

Compiled 84 to 60 computations (28.6% saved)

simplify313.0ms (4.8%)

Memory

31.4MiB live, 217.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	(neg.f64 y)
cost-diff	0	(*.f64 (neg.f64 y) y)
cost-diff	2	(fma.f64 (.f64 (neg.f64 y) y) x (.f64 x y))
cost-diff	0	(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 (/.f64 (.f64 y x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))))
cost-diff	1	(/.f64 (*.f64 y x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	114
0	38	114
1	79	113
2	245	112
3	1208	110
0	8326	110

Stop Event

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

Calls

Call 1

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

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

localize68.0ms (1%)

Memory

-8.2MiB live, 127.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 (neg.f64 y) y)
accuracy	0.0	(*.f64 x y)
accuracy	0.0	(neg.f64 y)
accuracy	6.618843521125275	(fma.f64 (.f64 (neg.f64 y) y) x (.f64 x y))
accuracy	0.01171875	(.f64 (/.f64 (.f64 y x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))))
accuracy	0.109375	(/.f64 (*.f64 y x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)))))
accuracy	15.170467699814136	(/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64)))
accuracy	21.748663785268825	(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))))

Samples

55.0ms

256×

valid

Compiler

Compiled 127 to 25 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 17.0ms (39.4% of total)

ival-add: 15.0ms (34.8% of total)

ival-div: 5.0ms (11.6% of total)

ival-pow: 5.0ms (11.6% of total)

ival-sub: 1.0ms (2.3% of total)

ival-neg: 1.0ms (2.3% of total)

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

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

exact: 0.0ms (0% of total)

series72.0ms (1.1%)

Memory

-27.7MiB live, 79.1MiB allocated

Counts

9 → 45

Calls

Call 1

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

Outputs
(/ (* x (* y (- (pow y 3) 1))) (- (pow y 2) 1))
(/ (* x (* y (* (+ 1 (pow y 2)) (- (pow y 3) 1)))) (* (+ 1 (* -1 (* y (+ 1 y)))) (- (pow y 2) 1)))
(* x y)
(* x (+ y (* -1 (pow y 2))))
(* -1 (* x (+ (* -1 y) (pow y 2))))
(* y (+ x (* x (pow y 2))))
(* y (+ x (* (pow y 2) (- (* -1 (* x y)) (* -1 x)))))
(* y (+ x (* (pow y 2) (- (* y (+ (* -1 x) (* x y))) (* -1 x)))))
(* y (+ x (* x y)))
(* y (+ x (* y (- (* y (- x (+ (* -2 x) (* -1 x)))) (* -1 x)))))
(* y (+ x (* y (- (* y (- (+ x (* y (- (* -1 x) (+ x (+ (* -2 x) (* -1 (- x (+ (* -2 x) (* -1 x))))))))) (+ (* -2 x) (* -1 x)))) (* -1 x)))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- y 1)))
(+ 1 (* (pow y 2) (- (* y (+ 1 (* -1 (pow y 2)))) 1)))
(* y (+ x (* -1 (* x y))))
(* -1 (pow y 2))
(* -1 y)
(+ 1 y)
(+ 1 (* y (+ 1 (* 3 y))))
(+ 1 (* y (+ 1 (* y (+ 3 (* 4 y))))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (- (+ x (* -1 (/ x (pow y 3)))) (* -1 (/ x (pow y 2)))))
(* (pow y 2) (- (+ x (+ (* -1 (/ x (pow y 3))) (/ x (pow y 4)))) (* -1 (/ x (pow y 2)))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (+ (* -1 (/ x y)) (+ (* 2 (/ x (pow y 2))) (/ x (pow y 2))))))
(* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (* 2 (/ x (pow y 3))) (/ x (pow y 3))))) (+ (* -2 (/ x (pow y 3))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (* 2 (/ x (pow y 2))) (/ x (pow y 2))))))))
(/ 1 y)
(/ (- 1 (/ 1 (pow y 2))) y)
(/ (- (+ 1 (/ 1 (pow y 3))) (/ 1 (pow y 2))) y)
(/ (- (+ 1 (/ 1 (pow y 3))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 5)))) y)
-1
(- (/ 1 y) 1)
(- (/ 1 y) (+ 1 (/ 3 (pow y 2))))
(- (+ (/ 1 y) (* 4 (/ 1 (pow y 3)))) (+ 1 (/ 3 (pow y 2))))
(* (pow y 2) (- (+ x (* -1 (/ (+ x (* -1 (/ x y))) (pow y 3)))) (* -1 (/ x (pow y 2)))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -1 x) (+ x (* 2 x))) y)) x) y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (* -1 x) (+ (* -1 (/ (- (* -1 x) (+ x (* 2 x))) y)) (* 2 (/ x y)))) (+ x (* 2 x))) y)) x) y))))
(* -1 (/ (- (/ 1 (pow y 2)) 1) y))
(* -1 (/ (- (/ 1 (pow y 2)) (+ 1 (/ 1 (pow y 3)))) y))
(* -1 (/ (- (+ (* -1 (/ (- 1 (/ 1 (pow y 2))) (pow y 3))) (/ 1 (pow y 2))) 1) y))
(- (* -1 (/ (- (* 3 (/ 1 y)) 1) y)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 y)) 3) y)) 1) y)) 1)

Calls

6 calls:

Time	Variable		Point	Expression
38.0ms	x	@	-inf	((/ (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3)))) (* (/ (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3)))) (/ (+ (* y y) 1) (+ (* (- -1 y) y) 1))) (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3))) (+ (* (* (neg y) y) x) (* x y)) (* (neg y) y) (neg y) (* x y) (/ (+ (* y y) 1) (+ (* (- -1 y) y) 1)))
23.0ms	y	@	inf	((/ (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3)))) (* (/ (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3)))) (/ (+ (* y y) 1) (+ (* (- -1 y) y) 1))) (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3))) (+ (* (* (neg y) y) x) (* x y)) (* (neg y) y) (neg y) (* x y) (/ (+ (* y y) 1) (+ (* (- -1 y) y) 1)))
4.0ms	x	@	0	((/ (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3)))) (* (/ (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3)))) (/ (+ (* y y) 1) (+ (* (- -1 y) y) 1))) (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3))) (+ (* (* (neg y) y) x) (* x y)) (* (neg y) y) (neg y) (* x y) (/ (+ (* y y) 1) (+ (* (- -1 y) y) 1)))
3.0ms	x	@	inf	((/ (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3)))) (* (/ (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3)))) (/ (+ (* y y) 1) (+ (* (- -1 y) y) 1))) (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3))) (+ (* (* (neg y) y) x) (* x y)) (* (neg y) y) (neg y) (* x y) (/ (+ (* y y) 1) (+ (* (- -1 y) y) 1)))
2.0ms	y	@	-inf	((/ (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3)))) (* (/ (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3)))) (/ (+ (* y y) 1) (+ (* (- -1 y) y) 1))) (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3))) (+ (* (* (neg y) y) x) (* x y)) (* (neg y) y) (neg y) (* x y) (/ (+ (* y y) 1) (+ (* (- -1 y) y) 1)))

simplify200.0ms (3.1%)

Memory

38.5MiB live, 270.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	199	624
1	676	571
2	2245	535
0	8320	514

Stop Event

1×	iter limit
1×	node limit

Counts

45 → 45

Calls

Call 1

Inputs
(/ (* x (* y (- (pow y 3) 1))) (- (pow y 2) 1))
(/ (* x (* y (* (+ 1 (pow y 2)) (- (pow y 3) 1)))) (* (+ 1 (* -1 (* y (+ 1 y)))) (- (pow y 2) 1)))
(* x y)
(* x (+ y (* -1 (pow y 2))))
(* -1 (* x (+ (* -1 y) (pow y 2))))
(* y (+ x (* x (pow y 2))))
(* y (+ x (* (pow y 2) (- (* -1 (* x y)) (* -1 x)))))
(* y (+ x (* (pow y 2) (- (* y (+ (* -1 x) (* x y))) (* -1 x)))))
(* y (+ x (* x y)))
(* y (+ x (* y (- (* y (- x (+ (* -2 x) (* -1 x)))) (* -1 x)))))
(* y (+ x (* y (- (* y (- (+ x (* y (- (* -1 x) (+ x (+ (* -2 x) (* -1 (- x (+ (* -2 x) (* -1 x))))))))) (+ (* -2 x) (* -1 x)))) (* -1 x)))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- y 1)))
(+ 1 (* (pow y 2) (- (* y (+ 1 (* -1 (pow y 2)))) 1)))
(* y (+ x (* -1 (* x y))))
(* -1 (pow y 2))
(* -1 y)
(+ 1 y)
(+ 1 (* y (+ 1 (* 3 y))))
(+ 1 (* y (+ 1 (* y (+ 3 (* 4 y))))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (- (+ x (* -1 (/ x (pow y 3)))) (* -1 (/ x (pow y 2)))))
(* (pow y 2) (- (+ x (+ (* -1 (/ x (pow y 3))) (/ x (pow y 4)))) (* -1 (/ x (pow y 2)))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* (pow y 2) (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (+ (* -1 (/ x y)) (+ (* 2 (/ x (pow y 2))) (/ x (pow y 2))))))
(* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (* 2 (/ x (pow y 3))) (/ x (pow y 3))))) (+ (* -2 (/ x (pow y 3))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (* 2 (/ x (pow y 2))) (/ x (pow y 2))))))))
(/ 1 y)
(/ (- 1 (/ 1 (pow y 2))) y)
(/ (- (+ 1 (/ 1 (pow y 3))) (/ 1 (pow y 2))) y)
(/ (- (+ 1 (/ 1 (pow y 3))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 5)))) y)
-1
(- (/ 1 y) 1)
(- (/ 1 y) (+ 1 (/ 3 (pow y 2))))
(- (+ (/ 1 y) (* 4 (/ 1 (pow y 3)))) (+ 1 (/ 3 (pow y 2))))
(* (pow y 2) (- (+ x (* -1 (/ (+ x (* -1 (/ x y))) (pow y 3)))) (* -1 (/ x (pow y 2)))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -1 x) (+ x (* 2 x))) y)) x) y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (* -1 x) (+ (* -1 (/ (- (* -1 x) (+ x (* 2 x))) y)) (* 2 (/ x y)))) (+ x (* 2 x))) y)) x) y))))
(* -1 (/ (- (/ 1 (pow y 2)) 1) y))
(* -1 (/ (- (/ 1 (pow y 2)) (+ 1 (/ 1 (pow y 3)))) y))
(* -1 (/ (- (+ (* -1 (/ (- 1 (/ 1 (pow y 2))) (pow y 3))) (/ 1 (pow y 2))) 1) y))
(- (* -1 (/ (- (* 3 (/ 1 y)) 1) y)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 y)) 3) y)) 1) y)) 1)

Outputs
(/ (* x (* y (- (pow y 3) 1))) (- (pow y 2) 1))
(.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) y) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(/ (* x (* y (* (+ 1 (pow y 2)) (- (pow y 3) 1)))) (* (+ 1 (* -1 (* y (+ 1 y)))) (- (pow y 2) 1)))
(.f64 (/.f64 (.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) y)) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(* x y)
(*.f64 x y)
(* x (+ y (* -1 (pow y 2))))
(*.f64 (fma.f64 (neg.f64 y) y y) x)
(* -1 (* x (+ (* -1 y) (pow y 2))))
(*.f64 (fma.f64 (neg.f64 y) y y) x)
(* y (+ x (* x (pow y 2))))
(*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(* y (+ x (* (pow y 2) (- (* -1 (* x y)) (* -1 x)))))
(.f64 (fma.f64 (fma.f64 (neg.f64 x) y x) (.f64 y y) x) y)
(* y (+ x (* (pow y 2) (- (* y (+ (* -1 x) (* x y))) (* -1 x)))))
(.f64 (fma.f64 (fma.f64 (-.f64 (.f64 y y) y) x x) (*.f64 y y) x) y)
(* y (+ x (* x y)))
(*.f64 (fma.f64 x y x) y)
(* y (+ x (* y (- (* y (- x (+ (* -2 x) (* -1 x)))) (* -1 x)))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) y x) y x) y)
(* y (+ x (* y (- (* y (- (+ x (* y (- (* -1 x) (+ x (+ (* -2 x) (* -1 (- x (+ (* -2 x) (* -1 x))))))))) (+ (* -2 x) (* -1 x)))) (* -1 x)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) y (*.f64 #s(literal 4 binary64) x)) y x) y x) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(-.f64 #s(literal 1 binary64) (*.f64 y y))
(+ 1 (* (pow y 2) (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* y (+ 1 (* -1 (pow y 2)))) 1)))
(fma.f64 (-.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(* y (+ x (* -1 (* x y))))
(*.f64 (fma.f64 (neg.f64 y) y y) x)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* -1 y)
(neg.f64 y)
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (* y (+ 1 (* 3 y))))
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 3 (* 4 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) y #s(literal 3 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(* x (pow y 2))
(.f64 (.f64 x y) y)
(* (pow y 2) (+ x (/ x (pow y 2))))
(.f64 (.f64 (+.f64 (/.f64 x (*.f64 y y)) x) y) y)
(* (pow y 2) (- (+ x (* -1 (/ x (pow y 3)))) (* -1 (/ x (pow y 2)))))
(.f64 (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 x y) x) y) y)) (.f64 y y))
(* (pow y 2) (- (+ x (+ (* -1 (/ x (pow y 3))) (/ x (pow y 4)))) (* -1 (/ x (pow y 2)))))
(.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 x y) x) y) y))) (.f64 y y))
(* -1 (* x (pow y 2)))
(.f64 (neg.f64 y) (.f64 x y))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (.f64 (-.f64 (/.f64 x y) x) y) y)
(* (pow y 2) (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (+ (* -1 (/ x y)) (+ (* 2 (/ x (pow y 2))) (/ x (pow y 2))))))
(.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 (/.f64 x (.f64 y y)) #s(literal -4 binary64) (/.f64 x y))) (*.f64 y y))
(* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (* 2 (/ x (pow y 3))) (/ x (pow y 3))))) (+ (* -2 (/ x (pow y 3))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (* 2 (/ x (pow y 2))) (/ x (pow y 2))))))))
(.f64 (fma.f64 (+.f64 (/.f64 x (.f64 y y)) x) #s(literal -1 binary64) (-.f64 (.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 5 binary64)) (fma.f64 (/.f64 x (.f64 y y)) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) (/.f64 (neg.f64 x) y)))) (*.f64 y y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- 1 (/ 1 (pow y 2))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y)
(/ (- (+ 1 (/ 1 (pow y 3))) (/ 1 (pow y 2))) y)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
(/ (- (+ 1 (/ 1 (pow y 3))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 5)))) y)
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) y)
-1
#s(literal -1 binary64)
(- (/ 1 y) 1)
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(- (/ 1 y) (+ 1 (/ 3 (pow y 2))))
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 y y)))
(- (+ (/ 1 y) (* 4 (/ 1 (pow y 3)))) (+ 1 (/ 3 (pow y 2))))
(-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) y))
(* (pow y 2) (- (+ x (* -1 (/ (+ x (* -1 (/ x y))) (pow y 3)))) (* -1 (/ x (pow y 2)))))
(.f64 (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) (.f64 y y)) x) (*.f64 y y))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -1 x) (+ x (* 2 x))) y)) x) y))))
(.f64 (-.f64 (neg.f64 x) (/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) (neg.f64 x)) y)) (.f64 y y))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (* -1 x) (+ (* -1 (/ (- (* -1 x) (+ x (* 2 x))) y)) (* 2 (/ x y)))) (+ x (* 2 x))) y)) x) y))))
(.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 4 binary64) x)) y) (.f64 #s(literal 4 binary64) x)) (neg.f64 y)) x) (neg.f64 y)) x) (.f64 y y))
(* -1 (/ (- (/ 1 (pow y 2)) 1) y))
(-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y))
(* -1 (/ (- (/ 1 (pow y 2)) (+ 1 (/ 1 (pow y 3)))) y))
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 y))
(* -1 (/ (- (+ (* -1 (/ (- 1 (/ 1 (pow y 2))) (pow y 3))) (/ 1 (pow y 2))) 1) y))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 y y)) #s(literal 1 binary64)) (neg.f64 y))
(- (* -1 (/ (- (* 3 (/ 1 y)) 1) y)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (neg.f64 y)) #s(literal 1 binary64))
(- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 y)) 3) y)) 1) y)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 3 binary64)) (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y)) #s(literal 1 binary64))

rewrite279.0ms (4.3%)

Memory

-39.0MiB live, 252.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	82
0	38	82
1	165	81
2	1285	78
0	9392	77

Stop Event

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

Counts

9 → 377

Calls

Call 1

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

Outputs
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 1 binary64)))) (/.f64 y (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(*.f64 (/.f64 y (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 y (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 1 binary64)))) (/.f64 x (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(.f64 (/.f64 (.f64 x y) (-.f64 #s(literal -1 binary64) y)) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (.f64 x y) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
(.f64 (/.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)))
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))
(.f64 (.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) y)
(.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))
(.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))
(*.f64 x (/.f64 y (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))
(.f64 y (.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))) (.f64 (.f64 #s(literal -1 binary64) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (.f64 #s(literal -1 binary64) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))))) (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (.f64 #s(literal -1 binary64) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -1 binary64) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (.f64 #s(literal -1 binary64) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))) (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))))) (/.f64 (*.f64 x y) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (pow.f64 y #s(literal 3 binary64))) (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)) (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)))) (-.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (pow.f64 y #s(literal 3 binary64))) (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)) (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64))) (.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (pow.f64 y #s(literal 3 binary64))) (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (pow.f64 y #s(literal 3 binary64))))) (-.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)) (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -1 binary64) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 3 binary64))) (fma.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (-.f64 (.f64 (.f64 #s(literal -1 binary64) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (.f64 #s(literal -1 binary64) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))) (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (.f64 #s(literal -1 binary64) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -1 binary64) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal -1 binary64) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (.f64 #s(literal -1 binary64) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (-.f64 (.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))) (.f64 (.f64 #s(literal -1 binary64) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (.f64 (pow.f64 y #s(literal 3 binary64)) (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (pow.f64 y #s(literal 3 binary64))) (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (pow.f64 y #s(literal 3 binary64))) (-.f64 (.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)) (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64))) (.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (pow.f64 y #s(literal 3 binary64))) (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (pow.f64 y #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)) (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)) (-.f64 (.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (pow.f64 y #s(literal 3 binary64))) (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)) (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (pow.f64 y #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (.f64 (.f64 x y) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 9 binary64))))) (neg.f64 (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 (.f64 x y) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 9 binary64))))) (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 (.f64 (.f64 x y) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (.f64 (.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 9 binary64)))) (-.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64))))
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eval106.0ms (1.6%)

Memory: 27.7MiB live, 273.5MiB allocated
Compiler: Compiled 15 842 to 1 388 computations (91.2% saved)

prune94.0ms (1.5%)

Memory

-16.9MiB live, 28.8MiB allocated

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	411	2	413
Fresh	0	0	0
Picked	1	1	2
Done	1	4	5
Total	413	7	420

Accuracy

100.0%

Counts

420 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.7%	(fma.f64 (.f64 (neg.f64 y) y) x (.f64 x y))
▶	43.4%	(.f64 (/.f64 (.f64 y x) #s(approx (/ (+ (* y y) -1) (+ -1 (pow y 3))) (/.f64 #s(literal 1 binary64) y))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))))
✓	99.9%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓	66.9%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓	55.6%	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
▶	95.9%	#s(approx (+ (* (* (neg y) y) x) (* x y)) (*.f64 (fma.f64 (neg.f64 y) y y) x))
✓	62.9%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))

Compiler

Compiled 98 to 69 computations (29.6% saved)

simplify161.0ms (2.5%)

Memory

44.8MiB live, 265.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (+ (* y y) -1) (+ -1 (pow y 3))) (/.f64 #s(literal 1 binary64) y))
cost-diff	0	(*.f64 y x)
cost-diff	0	(/.f64 (.f64 y x) #s(approx (/ (+ ( y y) -1) (+ -1 (pow y 3))) (/.f64 #s(literal 1 binary64) y)))
cost-diff	1	(.f64 (/.f64 (.f64 y x) #s(approx (/ (+ (* y y) -1) (+ -1 (pow y 3))) (/.f64 #s(literal 1 binary64) y))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))))
cost-diff	0	(neg.f64 y)
cost-diff	0	(fma.f64 (neg.f64 y) y y)
cost-diff	0	(*.f64 (fma.f64 (neg.f64 y) y y) x)
cost-diff	0	#s(approx (+ (* (* (neg y) y) x) (* x y)) (*.f64 (fma.f64 (neg.f64 y) y y) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	133
0	41	133
1	83	130
2	220	130
3	673	129
4	2264	129
5	5228	129
6	7001	129
0	8076	126

Stop Event

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

Calls

Call 1

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

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

localize275.0ms (4.2%)

Memory

-28.2MiB live, 212.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.01171875	(.f64 (/.f64 (.f64 y x) #s(approx (/ (+ (* y y) -1) (+ -1 (pow y 3))) (/.f64 #s(literal 1 binary64) y))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64))))
accuracy	0.109375	(/.f64 (.f64 y x) #s(approx (/ (+ ( y y) -1) (+ -1 (pow y 3))) (/.f64 #s(literal 1 binary64) y)))
accuracy	15.170467699814136	(/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal 1 binary64)))
accuracy	30.350709502913336	#s(approx (/ (+ (* y y) -1) (+ -1 (pow y 3))) (/.f64 #s(literal 1 binary64) y))
accuracy	0.0	(fma.f64 (neg.f64 y) y y)
accuracy	0.0	(neg.f64 y)
accuracy	0.0	#s(approx (+ (* (* (neg y) y) x) (* x y)) (*.f64 (fma.f64 (neg.f64 y) y y) x))
accuracy	2.6205005409721216	(*.f64 (fma.f64 (neg.f64 y) y y) x)

Samples

209.0ms

256×

valid

Compiler

Compiled 123 to 28 computations (77.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 169.0ms

ival-add: 119.0ms (70.5% of total)

ival-div: 29.0ms (17.2% of total)

ival-mult: 13.0ms (7.7% of total)

ival-pow: 5.0ms (3% of total)

ival-sub: 1.0ms (0.6% of total)

ival-neg: 1.0ms (0.6% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.4%)

Memory

-6.1MiB live, 37.0MiB allocated

Counts

9 → 48

Calls

Call 1

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

Outputs
(* x (+ y (* -1 (pow y 2))))
(/ (* x (* y (* (+ 1 (pow y 2)) (- (pow y 3) 1)))) (* (+ 1 (* -1 (* y (+ 1 y)))) (- (pow y 2) 1)))
(/ (* x (* y (- (pow y 3) 1))) (- (pow y 2) 1))
(* x y)
(* -1 (* x (+ (* -1 y) (pow y 2))))
(* y (+ x (* -1 (* x y))))
y
(* y (+ 1 (* -1 y)))
(* -1 y)
(* y (+ x (* x y)))
(* y (+ x (* y (- (* y (- x (+ (* -2 x) (* -1 x)))) (* -1 x)))))
(* y (+ x (* y (- (* y (- (+ x (* y (- (* -1 x) (+ x (+ (* -2 x) (* -1 (- x (+ (* -2 x) (* -1 x))))))))) (+ (* -2 x) (* -1 x)))) (* -1 x)))))
(* y (+ x (* x (pow y 2))))
(* y (+ x (* (pow y 2) (- (* -1 (* x y)) (* -1 x)))))
(* y (+ x (* (pow y 2) (- (* y (+ (* -1 x) (* x y))) (* -1 x)))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- y 1)))
(+ 1 (* (pow y 2) (- (* y (+ 1 (* -1 (pow y 2)))) 1)))
(+ 1 y)
(+ 1 (* y (+ 1 (* 3 y))))
(+ 1 (* y (+ 1 (* y (+ 3 (* 4 y))))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (+ (* -1 (/ x y)) (+ (* 2 (/ x (pow y 2))) (/ x (pow y 2))))))
(* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (* 2 (/ x (pow y 3))) (/ x (pow y 3))))) (+ (* -2 (/ x (pow y 3))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (* 2 (/ x (pow y 2))) (/ x (pow y 2))))))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (- (+ x (* -1 (/ x (pow y 3)))) (* -1 (/ x (pow y 2)))))
(* (pow y 2) (- (+ x (+ (* -1 (/ x (pow y 3))) (/ x (pow y 4)))) (* -1 (/ x (pow y 2)))))
(/ 1 y)
(/ (- 1 (/ 1 (pow y 2))) y)
(/ (- (+ 1 (/ 1 (pow y 3))) (/ 1 (pow y 2))) y)
(/ (- (+ 1 (/ 1 (pow y 3))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 5)))) y)
-1
(- (/ 1 y) 1)
(- (/ 1 y) (+ 1 (/ 3 (pow y 2))))
(- (+ (/ 1 y) (* 4 (/ 1 (pow y 3)))) (+ 1 (/ 3 (pow y 2))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -1 x) (+ x (* 2 x))) y)) x) y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (* -1 x) (+ (* -1 (/ (- (* -1 x) (+ x (* 2 x))) y)) (* 2 (/ x y)))) (+ x (* 2 x))) y)) x) y))))
(* (pow y 2) (- (+ x (* -1 (/ (+ x (* -1 (/ x y))) (pow y 3)))) (* -1 (/ x (pow y 2)))))
(* -1 (/ (- (/ 1 (pow y 2)) 1) y))
(* -1 (/ (- (/ 1 (pow y 2)) (+ 1 (/ 1 (pow y 3)))) y))
(* -1 (/ (- (+ (* -1 (/ (- 1 (/ 1 (pow y 2))) (pow y 3))) (/ 1 (pow y 2))) 1) y))
(- (* -1 (/ (- (* 3 (/ 1 y)) 1) y)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 y)) 3) y)) 1) y)) 1)

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	y	@	-inf	((+ (* (* (neg y) y) x) (* x y)) (* (+ (* (neg y) y) y) x) (+ (* (neg y) y) y) (neg y) (* (/ (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3)))) (/ (+ (* y y) 1) (+ (* (- -1 y) y) 1))) (/ (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3)))) (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3))) (/ (+ (* y y) 1) (+ (* (- -1 y) y) 1)))
3.0ms	x	@	-inf	((+ (* (* (neg y) y) x) (* x y)) (* (+ (* (neg y) y) y) x) (+ (* (neg y) y) y) (neg y) (* (/ (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3)))) (/ (+ (* y y) 1) (+ (* (- -1 y) y) 1))) (/ (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3)))) (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3))) (/ (+ (* y y) 1) (+ (* (- -1 y) y) 1)))
3.0ms	x	@	0	((+ (* (* (neg y) y) x) (* x y)) (* (+ (* (neg y) y) y) x) (+ (* (neg y) y) y) (neg y) (* (/ (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3)))) (/ (+ (* y y) 1) (+ (* (- -1 y) y) 1))) (/ (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3)))) (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3))) (/ (+ (* y y) 1) (+ (* (- -1 y) y) 1)))
3.0ms	x	@	inf	((+ (* (* (neg y) y) x) (* x y)) (* (+ (* (neg y) y) y) x) (+ (* (neg y) y) y) (neg y) (* (/ (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3)))) (/ (+ (* y y) 1) (+ (* (- -1 y) y) 1))) (/ (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3)))) (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3))) (/ (+ (* y y) 1) (+ (* (- -1 y) y) 1)))
1.0ms	y	@	inf	((+ (* (* (neg y) y) x) (* x y)) (* (+ (* (neg y) y) y) x) (+ (* (neg y) y) y) (neg y) (* (/ (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3)))) (/ (+ (* y y) 1) (+ (* (- -1 y) y) 1))) (/ (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3)))) (* y x) (/ (+ (* y y) -1) (+ -1 (pow y 3))) (/ (+ (* y y) 1) (+ (* (- -1 y) y) 1)))

simplify232.0ms (3.6%)

Memory

-20.1MiB live, 197.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	640
1	690	586
2	2273	550
0	8349	529

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 47

Calls

Call 1

Inputs
(* x (+ y (* -1 (pow y 2))))
(/ (* x (* y (* (+ 1 (pow y 2)) (- (pow y 3) 1)))) (* (+ 1 (* -1 (* y (+ 1 y)))) (- (pow y 2) 1)))
(/ (* x (* y (- (pow y 3) 1))) (- (pow y 2) 1))
(* x y)
(* -1 (* x (+ (* -1 y) (pow y 2))))
(* y (+ x (* -1 (* x y))))
y
(* y (+ 1 (* -1 y)))
(* -1 y)
(* y (+ x (* x y)))
(* y (+ x (* y (- (* y (- x (+ (* -2 x) (* -1 x)))) (* -1 x)))))
(* y (+ x (* y (- (* y (- (+ x (* y (- (* -1 x) (+ x (+ (* -2 x) (* -1 (- x (+ (* -2 x) (* -1 x))))))))) (+ (* -2 x) (* -1 x)))) (* -1 x)))))
(* y (+ x (* x (pow y 2))))
(* y (+ x (* (pow y 2) (- (* -1 (* x y)) (* -1 x)))))
(* y (+ x (* (pow y 2) (- (* y (+ (* -1 x) (* x y))) (* -1 x)))))
1
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- y 1)))
(+ 1 (* (pow y 2) (- (* y (+ 1 (* -1 (pow y 2)))) 1)))
(+ 1 y)
(+ 1 (* y (+ 1 (* 3 y))))
(+ 1 (* y (+ 1 (* y (+ 3 (* 4 y))))))
(* -1 (* x (pow y 2)))
(* (pow y 2) (+ (* -1 x) (/ x y)))
(* -1 (pow y 2))
(* (pow y 2) (- (/ 1 y) 1))
(* (pow y 2) (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (+ (* -1 (/ x y)) (+ (* 2 (/ x (pow y 2))) (/ x (pow y 2))))))
(* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (* 2 (/ x (pow y 3))) (/ x (pow y 3))))) (+ (* -2 (/ x (pow y 3))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (* 2 (/ x (pow y 2))) (/ x (pow y 2))))))))
(* x (pow y 2))
(* (pow y 2) (+ x (/ x (pow y 2))))
(* (pow y 2) (- (+ x (* -1 (/ x (pow y 3)))) (* -1 (/ x (pow y 2)))))
(* (pow y 2) (- (+ x (+ (* -1 (/ x (pow y 3))) (/ x (pow y 4)))) (* -1 (/ x (pow y 2)))))
(/ 1 y)
(/ (- 1 (/ 1 (pow y 2))) y)
(/ (- (+ 1 (/ 1 (pow y 3))) (/ 1 (pow y 2))) y)
(/ (- (+ 1 (/ 1 (pow y 3))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 5)))) y)
-1
(- (/ 1 y) 1)
(- (/ 1 y) (+ 1 (/ 3 (pow y 2))))
(- (+ (/ 1 y) (* 4 (/ 1 (pow y 3)))) (+ 1 (/ 3 (pow y 2))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -1 x) (+ x (* 2 x))) y)) x) y))))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (* -1 x) (+ (* -1 (/ (- (* -1 x) (+ x (* 2 x))) y)) (* 2 (/ x y)))) (+ x (* 2 x))) y)) x) y))))
(* (pow y 2) (- (+ x (* -1 (/ (+ x (* -1 (/ x y))) (pow y 3)))) (* -1 (/ x (pow y 2)))))
(* -1 (/ (- (/ 1 (pow y 2)) 1) y))
(* -1 (/ (- (/ 1 (pow y 2)) (+ 1 (/ 1 (pow y 3)))) y))
(* -1 (/ (- (+ (* -1 (/ (- 1 (/ 1 (pow y 2))) (pow y 3))) (/ 1 (pow y 2))) 1) y))
(- (* -1 (/ (- (* 3 (/ 1 y)) 1) y)) 1)
(- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 y)) 3) y)) 1) y)) 1)

Outputs
(* x (+ y (* -1 (pow y 2))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) y) x)
(/ (* x (* y (* (+ 1 (pow y 2)) (- (pow y 3) 1)))) (* (+ 1 (* -1 (* y (+ 1 y)))) (- (pow y 2) 1)))
(.f64 (/.f64 (.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))))
(/ (* x (* y (- (pow y 3) 1))) (- (pow y 2) 1))
(.f64 (.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) y) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(* x y)
(*.f64 x y)
(* -1 (* x (+ (* -1 y) (pow y 2))))
(.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
(* y (+ 1 (* -1 y)))
(*.f64 (-.f64 #s(literal 1 binary64) y) y)
(* -1 y)
(neg.f64 y)
(* y (+ x (* x y)))
(*.f64 (fma.f64 x y x) y)
(* y (+ x (* y (- (* y (- x (+ (* -2 x) (* -1 x)))) (* -1 x)))))
(.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) y x) y x) y)
(* y (+ x (* y (- (* y (- (+ x (* y (- (* -1 x) (+ x (+ (* -2 x) (* -1 (- x (+ (* -2 x) (* -1 x))))))))) (+ (* -2 x) (* -1 x)))) (* -1 x)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) y (*.f64 #s(literal 4 binary64) x)) y x) y x) y)
(* y (+ x (* x (pow y 2))))
(*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) y))
(* y (+ x (* (pow y 2) (- (* -1 (* x y)) (* -1 x)))))
(.f64 (fma.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) (*.f64 y y) x) y)
(* y (+ x (* (pow y 2) (- (* y (+ (* -1 x) (* x y))) (* -1 x)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 y y (neg.f64 y)) x x) (.f64 y y) x) y)
1
#s(literal 1 binary64)
(+ 1 (* -1 (pow y 2)))
(fma.f64 (neg.f64 y) y #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- y 1)))
(fma.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 (* (pow y 2) (- (* y (+ 1 (* -1 (pow y 2)))) 1)))
(fma.f64 (-.f64 (-.f64 y (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 y y) #s(literal 1 binary64))
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (* y (+ 1 (* 3 y))))
(fma.f64 (fma.f64 #s(literal 3 binary64) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(+ 1 (* y (+ 1 (* y (+ 3 (* 4 y))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 4 binary64) y #s(literal 3 binary64)) y #s(literal 1 binary64)) y #s(literal 1 binary64))
(* -1 (* x (pow y 2)))
(.f64 (.f64 (neg.f64 y) x) y)
(* (pow y 2) (+ (* -1 x) (/ x y)))
(.f64 (.f64 (-.f64 (/.f64 x y) x) y) y)
(* -1 (pow y 2))
(*.f64 (neg.f64 y) y)
(* (pow y 2) (- (/ 1 y) 1))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) y) y)
(* (pow y 2) (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (+ (* -1 (/ x y)) (+ (* 2 (/ x (pow y 2))) (/ x (pow y 2))))))
(.f64 (fma.f64 #s(literal -1 binary64) x (fma.f64 (/.f64 (/.f64 x y) y) #s(literal -4 binary64) (/.f64 x y))) (.f64 y y))
(* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (* 2 (/ x (pow y 3))) (/ x (pow y 3))))) (+ (* -2 (/ x (pow y 3))) (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (* 2 (/ x (pow y 2))) (/ x (pow y 2))))))))
(.f64 (fma.f64 (+.f64 (/.f64 (/.f64 x y) y) x) #s(literal -1 binary64) (-.f64 (.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) #s(literal 5 binary64)) (fma.f64 (/.f64 (/.f64 x y) y) (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -3 binary64)) (/.f64 (neg.f64 x) y)))) (*.f64 y y))
(* x (pow y 2))
(.f64 (.f64 y y) x)
(* (pow y 2) (+ x (/ x (pow y 2))))
(.f64 (.f64 (+.f64 (/.f64 (/.f64 x y) y) x) y) y)
(* (pow y 2) (- (+ x (* -1 (/ x (pow y 3)))) (* -1 (/ x (pow y 2)))))
(.f64 (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 x y) x) y) y)) (.f64 y y))
(* (pow y 2) (- (+ x (+ (* -1 (/ x (pow y 3))) (/ x (pow y 4)))) (* -1 (/ x (pow y 2)))))
(.f64 (+.f64 (/.f64 x (pow.f64 y #s(literal 4 binary64))) (-.f64 x (/.f64 (/.f64 (-.f64 (/.f64 x y) x) y) y))) (.f64 y y))
(/ 1 y)
(/.f64 #s(literal 1 binary64) y)
(/ (- 1 (/ 1 (pow y 2))) y)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y)
(/ (- (+ 1 (/ 1 (pow y 3))) (/ 1 (pow y 2))) y)
(-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))
(/ (- (+ 1 (/ 1 (pow y 3))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 5)))) y)
(/.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 5 binary64)))) y)
-1
#s(literal -1 binary64)
(- (/ 1 y) 1)
(-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64))
(- (/ 1 y) (+ 1 (/ 3 (pow y 2))))
(-.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 #s(literal 3 binary64) (*.f64 y y)))
(- (+ (/ 1 y) (* 4 (/ 1 (pow y 3)))) (+ 1 (/ 3 (pow y 2))))
(-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (pow.f64 y #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) y))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -1 x) (+ x (* 2 x))) y)) x) y))))
(.f64 (-.f64 (neg.f64 x) (/.f64 (fma.f64 (/.f64 x y) #s(literal 4 binary64) (neg.f64 x)) y)) (.f64 y y))
(* (pow y 2) (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (+ (* -1 x) (+ (* -1 (/ (- (* -1 x) (+ x (* 2 x))) y)) (* 2 (/ x y)))) (+ x (* 2 x))) y)) x) y))))
(.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x (.f64 #s(literal 4 binary64) x)) y) (.f64 #s(literal 4 binary64) x)) (neg.f64 y)) x) (neg.f64 y)) x) (.f64 y y))
(* (pow y 2) (- (+ x (* -1 (/ (+ x (* -1 (/ x y))) (pow y 3)))) (* -1 (/ x (pow y 2)))))
(.f64 (+.f64 (/.f64 (+.f64 (/.f64 (-.f64 (/.f64 x y) x) y) x) (.f64 y y)) x) (*.f64 y y))
(* -1 (/ (- (/ 1 (pow y 2)) 1) y))
(-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) y))
(* -1 (/ (- (/ 1 (pow y 2)) (+ 1 (/ 1 (pow y 3)))) y))
(/.f64 (-.f64 (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 y))
(* -1 (/ (- (+ (* -1 (/ (- 1 (/ 1 (pow y 2))) (pow y 3))) (/ 1 (pow y 2))) 1) y))
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y)) y) #s(literal -1 binary64) #s(literal 1 binary64)) (*.f64 y y)) #s(literal 1 binary64)) (neg.f64 y))
(- (* -1 (/ (- (* 3 (/ 1 y)) 1) y)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) y) #s(literal 1 binary64)) (neg.f64 y)) #s(literal 1 binary64))
(- (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 y)) 3) y)) 1) y)) 1)
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) #s(literal 3 binary64)) (neg.f64 y)) #s(literal 1 binary64)) (neg.f64 y)) #s(literal 1 binary64))

rewrite187.0ms (2.9%)

Memory

24.9MiB live, 400.5MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	111
0	41	111
1	182	108
2	1355	105
0	9450	105

Stop Event

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

Counts

9 → 367

Calls

Call 1

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

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

eval50.0ms (0.8%)

Memory: -2.6MiB live, 138.9MiB allocated
Compiler: Compiled 17 125 to 1 543 computations (91% saved)

prune11.0ms (0.2%)

Memory

-1.4MiB live, 44.4MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	410	2	412
Fresh	0	0	0
Picked	2	0	2
Done	1	4	5
Total	413	6	419

Accuracy

100.0%

Counts

419 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.8%	(.f64 (/.f64 (.f64 y x) #s(approx (/ (+ (* y y) -1) (+ -1 (pow y 3))) (/.f64 #s(literal 1 binary64) y))) #s(approx (/ (+ (* y y) 1) (+ (* (- -1 y) y) 1)) #s(literal -1 binary64)))
✓	99.9%	(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
✓	66.9%	(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
✓	55.6%	(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
	95.9%	#s(approx (+ (* (* (neg y) y) x) (* x y)) (.f64 (-.f64 y (.f64 y y)) x))
✓	62.9%	#s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))

Compiler

Compiled 298 to 134 computations (55% saved)

regimes15.0ms (0.2%)

Memory

1.5MiB live, 48.1MiB allocated

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

6.0ms	x
4.0ms	y
4.0ms	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes8.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

3 calls:

3.0ms	x
2.0ms	y
2.0ms	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Results

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

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes98.0ms (1.5%)

Memory

-29.1MiB live, 17.2MiB allocated

Counts

5 → 2

Calls

Call 1

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

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

Calls

3 calls:

93.0ms	x
2.0ms	y
2.0ms	(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))

Results

Accuracy	Segments	Branch
95.9%	1	`x`
98.8%	2	`y`
98.8%	2	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes5.0ms (0.1%)

Memory

13.8MiB live, 13.8MiB allocated

Counts

3 → 3

Calls

Call 1

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

Outputs
(.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))
(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))
(.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
71.6%	3	`x`
88.3%	2	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`
98.3%	3	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

regimes2.0ms (0%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

1 calls:

1.0ms

Results

Accuracy	Segments	Branch
94.2%	3	`y`

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes4.0ms (0.1%)

Memory

16.4MiB live, 16.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
55.6%	1	`x`
55.6%	1	`(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))`
55.6%	1	`y`

Compiler

Compiled 9 to 10 computations (-11.1% saved)

bsearch81.0ms (1.2%)

Memory

-44.1MiB live, 67.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
80.0ms	4.31641855367443e+54	1.837367174164262e+55

Samples

76.0ms

96×

valid

Compiler

Compiled 178 to 137 computations (23% saved)

Precisions

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

ival-mult: 39.0ms (97.5% of total)

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

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

exact: 0.0ms (0% of total)

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

bsearch131.0ms (2%)

Memory

7.6MiB live, 52.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
117.0ms	4.762309029791893e-7	1.3122808442520741
11.0ms	-92585.86724699536	-0.00019022054827493357

Samples

118.0ms

288×

valid

Compiler

Compiled 352 to 335 computations (4.8% saved)

Precisions

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

ival-mult: 4.0ms (71.2% of total)

ival-sub: 1.0ms (17.8% of total)

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

exact: 0.0ms (0% of total)

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

bsearch2.0ms (0%)

Memory

3.6MiB live, 3.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
1.0ms	4.762309029791893e-7	1.3122808442520741
1.0ms	-92585.86724699536	-0.00019022054827493357

Compiler

Compiled 424 to 371 computations (12.5% saved)

simplify30.0ms (0.5%)

Memory

-11.5MiB live, 33.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	115
1	65	113
2	116	112
3	200	112
4	327	112
5	560	112
6	799	112
7	1147	112
8	1296	112
9	1347	112
10	1347	112
11	1347	112

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal 5699999999999999663612336388040123935378956616283979776 binary64)) #s(approx (+ (* (* (neg y) y) x) (* x y)) (.f64 (-.f64 y (.f64 y y)) x)) (.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 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)) (.f64 (.f64 x y) #s(approx (- 1 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 (.f64 (neg.f64 y) y) x)) (if (<=.f64 y #s(literal 1 binary64)) (.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64))) #s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))))
(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))

Outputs
(.f64 (.f64 (-.f64 #s(literal 1 binary64) y) x) y)
(.f64 (.f64 x y) (-.f64 #s(literal 1 binary64) y))
(if (<=.f64 y #s(literal 5699999999999999663612336388040123935378956616283979776 binary64)) #s(approx (+ (* (* (neg y) y) x) (* x y)) (.f64 (-.f64 y (.f64 y y)) x)) (.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y))))
(if (<=.f64 y #s(literal 5699999999999999663612336388040123935378956616283979776 binary64)) #s(approx (* (* x y) (- 1 y)) (.f64 (-.f64 y (.f64 y y)) x)) (.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 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)) (.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64))) (.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y)))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) (.f64 (.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64))))
(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)) (.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64))) #s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x))))
(if (or (<=.f64 y #s(literal -1 binary64)) (not (<=.f64 y #s(literal 1 binary64)))) #s(approx (* (* x y) (- 1 y)) (.f64 (.f64 (neg.f64 y) y) x)) (.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64))))
(.f64 (.f64 x y) #s(approx (- 1 y) #s(literal 1 binary64)))

soundness1.1s (17.5%)

Memory

15.9MiB live, 776.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	111
0	41	111
1	182	108
2	1355	105
0	9450	105
0	6	13
0	9	13
1	29	13
2	139	13
3	1024	13
0	9488	12
0	27	45
1	71	42
2	153	42
3	440	42
4	1358	42
5	3788	42
6	5687	42
7	6854	42
8	7772	42
0	8095	42
0	21	92
0	33	90
1	92	90
2	456	90
3	4313	87
0	9012	84
0	199	624
1	676	571
2	2245	535
0	8320	514

Stop Event

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

Compiler

Compiled 195 to 92 computations (52.8% saved)

preprocess64.0ms (1%)

Memory: 23.6MiB live, 164.2MiB allocated
Remove: (negabs x)
Compiler: Compiled 266 to 104 computations (60.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.6s (23.9%)

explain61.0ms (0.9%)

preprocess40.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize15.0ms (0.2%)

series6.0ms (0.1%)

simplify85.0ms (1.3%)

rewrite252.0ms (3.9%)

eval81.0ms (1.2%)

prune12.0ms (0.2%)

simplify35.0ms (0.5%)

localize153.0ms (2.4%)

series11.0ms (0.2%)

simplify105.0ms (1.6%)

rewrite311.0ms (4.8%)

eval102.0ms (1.6%)

prune20.0ms (0.3%)

simplify313.0ms (4.8%)

localize68.0ms (1%)

series72.0ms (1.1%)

simplify200.0ms (3.1%)

rewrite279.0ms (4.3%)

eval106.0ms (1.6%)

prune94.0ms (1.5%)

simplify161.0ms (2.5%)

localize275.0ms (4.2%)

series27.0ms (0.4%)

simplify232.0ms (3.6%)

rewrite187.0ms (2.9%)

eval50.0ms (0.8%)

prune11.0ms (0.2%)

regimes15.0ms (0.2%)

regimes8.0ms (0.1%)

regimes98.0ms (1.5%)

regimes5.0ms (0.1%)

regimes2.0ms (0%)

regimes4.0ms (0.1%)

bsearch81.0ms (1.2%)

bsearch131.0ms (2%)

bsearch2.0ms (0%)

simplify30.0ms (0.5%)

soundness1.1s (17.5%)

preprocess64.0ms (1%)

end0.0ms (0%)

Profiling

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