Metrics for Numeric.Integration.TanhSinh:everywhere from integration-0.2.1

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB 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)

sample948.0ms (16.7%)

Memory

19.5MiB live, 688.8MiB allocated

Samples

673.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 436.0ms

ival-mult: 363.0ms (83.2% of total)

ival-add: 58.0ms (13.3% of total)

ival-true: 6.0ms (1.4% of total)

exact: 5.0ms (1.1% of total)

ival-assert: 3.0ms (0.7% of total)

Bogosity

explain141.0ms (2.5%)

Memory

-19.3MiB live, 101.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
21	-	-	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
0	-	-	`y`
0	-	-	`#s(literal 1 binary64)`
0	-	-	`(*.f64 y y)`
0	-	-	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f64`	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`	*no**	21	0

Confusion

	Predicted +	Predicted -
+	21	0
-	0	235

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	21	0	0
-	0	0	235

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	235
1	21

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

85.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 39.0ms (92.3% of total)

ival-add: 2.0ms (4.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess33.0ms (0.6%)

Memory

2.8MiB live, 40.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	65	37
2	192	35
3	476	35
4	657	35
5	769	35
6	801	35
0	6	7
0	9	7
1	19	7
2	27	7
3	49	7
4	49	7
0	49	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs y)

(negabs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.3%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

9.2MiB live, 9.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
cost-diff	128	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	19	18
2	27	18
3	49	18
4	49	18
0	49	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.3%)

Memory

0.3MiB live, 37.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(+.f64 #s(literal 1 binary64) (*.f64 y y))
accuracy	0.0	(*.f64 y y)
accuracy	4.945993535115707	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Samples

13.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-mult: 6.0ms (80% of total)

ival-add: 1.0ms (13.3% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

7.9MiB live, 7.9MiB allocated

Counts

3 → 9

Calls

Call 1

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

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

Calls

6 calls:

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

simplify217.0ms (3.8%)

Memory

-27.9MiB live, 143.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	42	41
2	74	41
3	212	41
4	702	41
5	1925	41
6	2604	41
7	3692	41
8	5035	41
9	5933	41
10	6892	41
11	7235	41
12	7350	41
13	7427	41
14	7496	41
15	7643	41
0	8184	36

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 8

Calls

Call 1

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

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

rewrite389.0ms (6.9%)

Memory

-5.3MiB live, 146.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	34	15
2	209	15
3	1409	15
0	8238	13

Stop Event

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

Counts

3 → 364

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (pow.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (/.f64 (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 18 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64))) (pow.f64 y #s(literal 6 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))) #s(literal -1 binary64))))
(.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))))
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(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y)))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) (fma.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 (.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))))
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) x)) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) x)) (neg.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(/.f64 (neg.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 x (.f64 y y)) #s(literal 2 binary64)) (.f64 x x))) (neg.f64 (-.f64 (.f64 x (*.f64 y y)) x)))
(/.f64 (neg.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (.f64 y y)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (.f64 x (.f64 y y)) (-.f64 (.f64 x (.f64 y y)) x) (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (pow.f64 (.f64 x (.f64 y y)) #s(literal 2 binary64)))) (.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))))
(/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) x) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y))))
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) x) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(/.f64 (*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y))))
(/.f64 (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 x) (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 x (.f64 y y)) #s(literal 2 binary64)) (.f64 x x)) (-.f64 (.f64 x (*.f64 y y)) x))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x)) (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x)) (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (.f64 y y)) #s(literal 2 binary64)))) (neg.f64 (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 x x) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 x (.f64 y y)) (-.f64 (.f64 x (.f64 y y)) x) (*.f64 x x))))
(/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (.f64 y y)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64))))))
(/.f64 (-.f64 (.f64 x x) (pow.f64 (.f64 x (.f64 y y)) #s(literal 2 binary64))) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 x x) (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 x #s(literal 3 binary64))) (fma.f64 (.f64 x (.f64 y y)) (-.f64 (.f64 x (.f64 y y)) x) (*.f64 x x)))
(/.f64 x (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (.f64 y y))) (.f64 x (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))) (*.f64 x (-.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (.f64 x (.f64 y y)) x) (-.f64 (pow.f64 (.f64 x (.f64 y y)) #s(literal 2 binary64)) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 x x) (pow.f64 y #s(literal 4 binary64)) (-.f64 (.f64 x x) (pow.f64 (*.f64 x y) #s(literal 2 binary64)))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))))
(fma.f64 (/.f64 (.f64 x x) x) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal -1 binary64)) (neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(fma.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y))))))
(fma.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (.f64 x x) (-.f64 #s(literal 1 binary64) (.f64 y y))) (neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(fma.f64 (*.f64 x y) y x)
(fma.f64 (.f64 x x) (pow.f64 (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) #s(literal -1 binary64)) (neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (.f64 y y))))))
(fma.f64 (.f64 x (.f64 y y)) #s(literal 1 binary64) x)
(fma.f64 x (*.f64 y y) x)
(fma.f64 x #s(literal 1 binary64) (.f64 x (.f64 y y)))
(fma.f64 (*.f64 y y) x x)
(fma.f64 y (*.f64 x y) x)
(fma.f64 #s(literal 1 binary64) (.f64 x (.f64 y y)) x)
(fma.f64 #s(literal 1 binary64) x (.f64 x (.f64 y y)))
(-.f64 (/.f64 (pow.f64 (.f64 x (.f64 y y)) #s(literal 2 binary64)) (-.f64 (.f64 x (.f64 y y)) x)) (/.f64 (.f64 x x) (-.f64 (.f64 x (*.f64 y y)) x)))
(-.f64 (.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(+.f64 (.f64 (/.f64 x x) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) (neg.f64 (.f64 (/.f64 (.f64 x x) x) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))))))
(+.f64 (.f64 x (.f64 y y)) x)
(+.f64 x (.f64 x (.f64 y y)))
(.f64 (.f64 y y) #s(literal 1 binary64))
(*.f64 y y)
(.f64 #s(literal 1 binary64) (.f64 y y))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 y))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))

eval203.0ms (3.6%)

Memory: 24.3MiB live, 71.2MiB allocated
Compiler: Compiled 9 299 to 1 115 computations (88% saved)

prune10.0ms (0.2%)

Memory

-0.2MiB live, 36.6MiB allocated

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	364	5	369
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	365	5	370

Accuracy

100.0%

Counts

370 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	92.3%	(fma.f64 (*.f64 y y) x x)
▶	99.9%	(fma.f64 (*.f64 x y) y x)
▶	64.8%	(*.f64 x (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
▶	50.2%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
▶	45.2%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))

Compiler

Compiled 92 to 70 computations (23.9% saved)

simplify122.0ms (2.1%)

Memory

-19.5MiB live, 140.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(pow.f64 y #s(literal 4 binary64))
cost-diff	0	(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
cost-diff	0	(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
cost-diff	0	(*.f64 x (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
cost-diff	0	(*.f64 y y)
cost-diff	0	(fma.f64 (*.f64 y y) x x)
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
cost-diff	0	#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
cost-diff	0	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
cost-diff	0	(*.f64 x y)
cost-diff	0	(fma.f64 (*.f64 x y) y x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	102
0	33	101
1	62	101
2	87	101
3	198	101
4	400	101
5	969	101
6	2205	101
7	4461	101
8	6183	101
9	7916	101
0	8008	99

Stop Event

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

Calls

Call 1

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

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

localize66.0ms (1.2%)

Memory

-10.4MiB live, 112.2MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 y #s(literal 4 binary64))
accuracy	0.0	(-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
accuracy	4.945993535115707	(*.f64 x (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
accuracy	21.818775178819013	(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	4.942087285115707	(fma.f64 (*.f64 y y) x x)
accuracy	0.0	(*.f64 y y)
accuracy	9.375957949289221	(.f64 (.f64 y y) x)
accuracy	30.12400736049912	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
accuracy	4.945993535115707	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
accuracy	32.134940372154155	#s(approx (+ 1 (* y y)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x y)
accuracy	0.0625	(fma.f64 (*.f64 x y) y x)

Samples

35.0ms

256×

valid

Compiler

Compiled 201 to 42 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-mult: 11.0ms (48.6% of total)

ival-add: 4.0ms (17.7% of total)

ival-pow: 4.0ms (17.7% of total)

ival-div: 2.0ms (8.8% of total)

ival-sub: 1.0ms (4.4% of total)

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

exact: 0.0ms (0% of total)

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

series15.0ms (0.3%)

Memory

20.6MiB live, 20.6MiB allocated

Counts

12 → 16

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	y	@	inf	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (+ (* (* y y) x) x) (* x (/ (- (pow y 4) 1) (+ (* y y) -1))) (/ (- (pow y 4) 1) (+ (* y y) -1)) (- (pow y 4) 1) (pow y 4))
3.0ms	x	@	0	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (+ (* (* y y) x) x) (* x (/ (- (pow y 4) 1) (+ (* y y) -1))) (/ (- (pow y 4) 1) (+ (* y y) -1)) (- (pow y 4) 1) (pow y 4))
2.0ms	x	@	-inf	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (+ (* (* y y) x) x) (* x (/ (- (pow y 4) 1) (+ (* y y) -1))) (/ (- (pow y 4) 1) (+ (* y y) -1)) (- (pow y 4) 1) (pow y 4))
2.0ms	x	@	inf	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (+ (* (* y y) x) x) (* x (/ (- (pow y 4) 1) (+ (* y y) -1))) (/ (- (pow y 4) 1) (+ (* y y) -1)) (- (pow y 4) 1) (pow y 4))
2.0ms	y	@	-inf	((+ (* (* x y) y) x) (* x y) (* x (+ 1 (* y y))) (+ 1 (* y y)) (* x (+ 1 (* y y))) (* (* y y) x) (* y y) (+ (* (* y y) x) x) (* x (/ (- (pow y 4) 1) (+ (* y y) -1))) (/ (- (pow y 4) 1) (+ (* y y) -1)) (- (pow y 4) 1) (pow y 4))

simplify107.0ms (1.9%)

Memory

13.5MiB live, 168.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	78
1	75	78
2	166	78
3	464	78
4	2131	78
5	5846	78
0	8102	71

Stop Event

1×	iter limit
1×	node limit

Counts

16 → 15

Calls

Call 1

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

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

rewrite469.0ms (8.3%)

Memory

-151.6MiB live, 236.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	82
0	33	75
1	136	70
2	769	70
0	8592	67

Stop Event

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

Counts

12 → 1 146

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y))
(.f64 (/.f64 (.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y y (+.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) x) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64))) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 3 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64))) (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (*.f64 y y)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal -1 binary64) (*.f64 y y)))
(.f64 (/.f64 (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (fma.f64 (pow.f64 y #s(literal 4 binary64)) x x) (pow.f64 (.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 4 binary64)) (pow.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) #s(literal 2 binary64)))) (fma.f64 x (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (pow.f64 (*.f64 y x) #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 12 binary64)) (pow.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 8 binary64)) (.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) (-.f64 (.f64 x (.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)))) (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64))))))
(.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(*.f64 (/.f64 x #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(.f64 (/.f64 (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x))) (fma.f64 (.f64 y x) y x))
(.f64 (.f64 x (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 x #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) (.f64 y y)))
(.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
(*.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 x (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)))) (/.f64 x (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)))) (/.f64 x (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)))) (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)))) (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))))
(.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (/.f64 x (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 x (-.f64 y #s(literal 1 binary64))))
(.f64 (.f64 (fma.f64 (*.f64 y x) y x) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 y #s(literal 1 binary64))))
(.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) x) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x (-.f64 x (.f64 (pow.f64 y #s(literal 4 binary64)) x))) (/.f64 #s(literal 1 binary64) (.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y y)))))
(.f64 (pow.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x)))
(.f64 (pow.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal -1 binary64)) (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 x (+.f64 #s(literal 1 binary64) y)))
(.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))
(.f64 (neg.f64 (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))))))
(.f64 (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))))))
(.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))))
(.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(.f64 (.f64 x (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x)) (pow.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 y #s(literal 12 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))))
(*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (/.f64 x (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64))))
(.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64)) x))
(.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (pow.f64 y #s(literal 4 binary64)) x))) (/.f64 (fma.f64 (.f64 y x) y x) (fma.f64 x x (.f64 (.f64 x x) (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))))))
(.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (pow.f64 y #s(literal 4 binary64)) x))) (/.f64 (fma.f64 (.f64 y x) y x) (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (pow.f64 y #s(literal 4 binary64)) x)))))
(.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 (pow.f64 y #s(literal 4 binary64)) x))) (.f64 (fma.f64 (.f64 y x) y x) (pow.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal -1 binary64))))
(.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (.f64 (.f64 x x) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))))))
(.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y)) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (.f64 y y))))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) x))
(.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (.f64 x (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))))
(*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 y x) y x) (/.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) (.f64 x (fma.f64 y y #s(literal -1 binary64)))))
(.f64 (fma.f64 (.f64 y x) y x) (.f64 (.f64 x (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (*.f64 x (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64))))
(.f64 (fma.f64 (.f64 y x) y x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 (.f64 y x) y x))
(*.f64 x (fma.f64 y y #s(literal 1 binary64)))
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(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 y #s(literal 4 binary64))))
(*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))
(.f64 (.f64 y y) (.f64 (.f64 y #s(literal -1 binary64)) (*.f64 y #s(literal -1 binary64))))
(.f64 (.f64 y y) (*.f64 y y))
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))
(.f64 y (.f64 (.f64 y #s(literal -1 binary64)) (.f64 (neg.f64 y) y)))
(*.f64 y (pow.f64 y #s(literal 3 binary64)))
(pow.f64 (exp.f64 #s(literal 4 binary64)) (log.f64 y))
(pow.f64 (*.f64 (neg.f64 y) y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 2 binary64))
(pow.f64 y #s(literal 4 binary64))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 4 binary64)))

eval104.0ms (1.8%)

Memory: -7.4MiB live, 152.0MiB allocated
Compiler: Compiled 16 844 to 2 151 computations (87.2% saved)

prune14.0ms (0.2%)

Memory

8.1MiB live, 45.6MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	734	2	736
Fresh	0	0	0
Picked	1	4	5
Done	0	0	0
Total	735	6	741

Accuracy

100.0%

Counts

741 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.3%	(fma.f64 (*.f64 y y) x x)
▶	85.7%	(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x) (-.f64 y #s(literal 1 binary64)))
✓	64.8%	(*.f64 x (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
✓	50.2%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
✓	45.2%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
▶	52.8%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 67 to 48 computations (28.4% saved)

simplify283.0ms (5%)

Memory

-10.6MiB live, 153.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 y y #s(literal 1 binary64))
cost-diff	0	(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
cost-diff	0	(.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x)
cost-diff	1408	(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x) (-.f64 y #s(literal 1 binary64)))
cost-diff	0	(*.f64 y x)
cost-diff	0	(.f64 (.f64 y x) y)
cost-diff	0	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	65
0	21	64
1	43	64
2	77	64
3	248	56
4	884	56
5	3025	56
6	7647	56
0	9466	56

Stop Event

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

Calls

Call 1

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

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

localize249.0ms (4.4%)

Memory

3.7MiB live, 49.6MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y #s(literal 1 binary64))
accuracy	0.05078125	(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))
accuracy	2.370276430826759	(.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x)
accuracy	6.756529693591821	(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x) (-.f64 y #s(literal 1 binary64)))
accuracy	0.0	(*.f64 y x)
accuracy	0.12109375	(.f64 (.f64 y x) y)
accuracy	30.12400736049912	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Samples

241.0ms

256×

valid

Compiler

Compiled 130 to 30 computations (76.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 210.0ms

ival-mult: 204.0ms (97.4% of total)

ival-div: 2.0ms (1% of total)

ival-add: 2.0ms (1% of total)

ival-sub: 1.0ms (0.5% of total)

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

exact: 0.0ms (0% of total)

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

series172.0ms (3%)

Memory

-28.4MiB live, 9.7MiB allocated

Counts

8 → 36

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
165.0ms	y	@	inf	((* x (+ 1 (* y y))) (* (* y x) y) (* y x) (/ (* (* (+ (* y y) 1) (- y 1)) x) (- y 1)) (* (* (+ (* y y) 1) (- y 1)) x) (* (+ (* y y) 1) (- y 1)) (+ (* y y) 1) (- y 1))
1.0ms	x	@	-inf	((* x (+ 1 (* y y))) (* (* y x) y) (* y x) (/ (* (* (+ (* y y) 1) (- y 1)) x) (- y 1)) (* (* (+ (* y y) 1) (- y 1)) x) (* (+ (* y y) 1) (- y 1)) (+ (* y y) 1) (- y 1))
1.0ms	y	@	-inf	((* x (+ 1 (* y y))) (* (* y x) y) (* y x) (/ (* (* (+ (* y y) 1) (- y 1)) x) (- y 1)) (* (* (+ (* y y) 1) (- y 1)) x) (* (+ (* y y) 1) (- y 1)) (+ (* y y) 1) (- y 1))
1.0ms	x	@	0	((* x (+ 1 (* y y))) (* (* y x) y) (* y x) (/ (* (* (+ (* y y) 1) (- y 1)) x) (- y 1)) (* (* (+ (* y y) 1) (- y 1)) x) (* (+ (* y y) 1) (- y 1)) (+ (* y y) 1) (- y 1))
1.0ms	x	@	inf	((* x (+ 1 (* y y))) (* (* y x) y) (* y x) (/ (* (* (+ (* y y) 1) (- y 1)) x) (- y 1)) (* (* (+ (* y y) 1) (- y 1)) x) (* (+ (* y y) 1) (- y 1)) (+ (* y y) 1) (- y 1))

simplify394.0ms (7%)

Memory

15.1MiB live, 166.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	92	287
1	298	271
2	1027	243
3	4060	241
0	8084	223

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 34

Calls

Call 1

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

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

rewrite206.0ms (3.6%)

Memory

32.3MiB live, 227.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	60
0	21	59
1	81	59
2	599	51
3	6921	51
0	8013	51

Stop Event

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

Counts

8 → 959

Calls

Call 1

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

Outputs
#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))
(.f64 (.f64 (*.f64 y x) y) #s(literal 1 binary64))
(.f64 (.f64 y x) y)
(.f64 (.f64 y y) x)
(.f64 y (.f64 y x))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 y x) y))
(.f64 x (.f64 y y))
(.f64 (.f64 y x) #s(literal 1 binary64))
(*.f64 y x)
(.f64 #s(literal 1 binary64) (.f64 y x))
(*.f64 x y)
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 y (+.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(.f64 (/.f64 (.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) x) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 y y #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (-.f64 (pow.f64 y #s(literal 8 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 2 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) #s(literal 3 binary64)) (pow.f64 y #s(literal 12 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (-.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y))))
(.f64 (/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x) (fma.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) (-.f64 (*.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) #s(literal -1 binary64)) (.f64 (-.f64 y #s(literal 1 binary64)) x))
(.f64 (/.f64 (.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (fma.f64 y y #s(literal 1 binary64))) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(.f64 (/.f64 (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) x) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (.f64 y y))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) (fma.f64 y y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(.f64 (.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 y y) x x))
(.f64 (.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) x))
(.f64 (.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 y y) x x)) (-.f64 y #s(literal 1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))
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eval175.0ms (3.1%)

Memory: 0.1MiB live, 200.3MiB allocated
Compiler: Compiled 27 005 to 3 213 computations (88.1% saved)

prune28.0ms (0.5%)

Memory

-21.7MiB live, 57.8MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	1 087	1	1 088
Fresh	0	0	0
Picked	0	2	2
Done	1	3	4
Total	1 088	6	1 094

Accuracy

100.0%

Counts

1 094 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.3%	(fma.f64 (*.f64 y y) x x)
✓	85.7%	(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x) (-.f64 y #s(literal 1 binary64)))
▶	37.3%	(/.f64 (.f64 #s(approx ( (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64))) x) (-.f64 y #s(literal 1 binary64)))
✓	50.2%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
✓	45.2%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
✓	52.8%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 74 to 52 computations (29.7% saved)

simplify95.0ms (1.7%)

Memory

17.0MiB live, 53.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	57
0	17	57
1	29	57
2	47	57
3	83	57
4	173	57
5	380	57
6	640	57
7	1184	57
8	1508	57
9	1635	57
10	1699	57
11	1852	57
12	2012	57
13	2209	57
14	2340	57
15	2345	57
16	2359	57
17	2371	57
18	2371	57
0	2371	54

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize64.0ms (1.1%)

Memory

-31.8MiB live, 55.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 y #s(literal 1 binary64))
accuracy	2.370276430826759	(.f64 #s(approx ( (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64))) x)
accuracy	6.756529693591821	(/.f64 (.f64 #s(approx ( (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64))) x) (-.f64 y #s(literal 1 binary64)))
accuracy	31.226566732692486	#s(approx (* (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64)))

Samples

45.0ms

256×

valid

Compiler

Compiled 104 to 27 computations (74% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-pow: 25.0ms (71.8% of total)

ival-mult: 5.0ms (14.4% of total)

ival-div: 2.0ms (5.7% of total)

ival-sub: 1.0ms (2.9% of total)

ival-add: 1.0ms (2.9% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

5 → 31

Calls

Call 1

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

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

Calls

6 calls:

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

simplify160.0ms (2.8%)

Memory

16.9MiB live, 207.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	270
1	290	254
2	1010	240
3	3849	224
4	7981	224
0	8425	208

Stop Event

1×	iter limit
1×	node limit

Counts

31 → 29

Calls

Call 1

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

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

rewrite189.0ms (3.3%)

Memory

-4.7MiB live, 189.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	53
0	17	53
1	64	53
2	390	53
3	4839	53
0	8380	50

Stop Event

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

Counts

5 → 292

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (.f64 x #s(approx (* (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64)) (.f64 x #s(approx (* (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 #s(approx ( (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (neg.f64 x)) #s(literal -1 binary64)) (/.f64 #s(approx ( (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y #s(literal 1 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (neg.f64 #s(approx ( (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64))))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) #s(approx ( (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (neg.f64 x)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(approx ( (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) #s(approx ( (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal -1 binary64)) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (pow.f64 (.f64 (neg.f64 x) #s(approx (* (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
(.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64)) (.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64))) (*.f64 x (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 x #s(approx (* (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64)))) (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(.f64 (/.f64 (.f64 x #s(approx (* (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 x) #s(approx (* (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (neg.f64 x) #s(approx (* (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 #s(approx ( (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (neg.f64 x) #s(approx ( (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (* (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) #s(approx (* (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 x (-.f64 y #s(literal 1 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 #s(approx ( (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (fma.f64 y y #s(literal -1 binary64))))) (-.f64 y #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) x) #s(approx ( (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) x) #s(approx (* (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 x #s(approx (* (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (neg.f64 #s(approx ( (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 x (-.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(approx ( (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx ( (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 x (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(approx ( (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 x (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal -1 binary64))))
(.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx ( (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 #s(approx ( (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (-.f64 y #s(literal 1 binary64))))
(.f64 (pow.f64 (.f64 x #s(approx (* (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx ( (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y #s(literal 1 binary64))) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 #s(approx ( (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64))) (-.f64 y #s(literal 1 binary64))) x)
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(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal -1 binary64)))
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64)))
(/.f64 (-.f64 (fma.f64 y y (pow.f64 y #s(literal 3 binary64))) (-.f64 y #s(literal -1 binary64))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal 1 binary64))) (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) (+.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y)) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y)) (+.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y))))
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))))
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y y) (neg.f64 y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y)))
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))
(/.f64 (-.f64 #s(literal 1 binary64) (.f64 y y)) (.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal -1 binary64) y))
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 #s(literal -1 binary64) y #s(literal -1 binary64)))
(/.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal 1 binary64) y))
(fma.f64 (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 y y #s(literal -1 binary64)) y) (neg.f64 (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (-.f64 y #s(literal -1 binary64)) (-.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 y y) (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 y (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (.f64 y y) (-.f64 #s(literal 1 binary64) (.f64 y y))) (-.f64 #s(literal 1 binary64) y) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 y) #s(literal -1 binary64))
(fma.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 y #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 y y) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (neg.f64 (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal -1 binary64))))
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal -1 binary64)) (neg.f64 (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64)))) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64))
(fma.f64 (*.f64 y y) (/.f64 y (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (neg.f64 (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal -1 binary64))))
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 y (/.f64 (*.f64 y y) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (neg.f64 (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal -1 binary64))))
(fma.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64))) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64))
(expm1.f64 (log.f64 y))
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y))) (pow.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) (neg.f64 y)) #s(literal -1 binary64)))
(-.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64)))) (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y))
(-.f64 y #s(literal 1 binary64))
(exp.f64 (neg.f64 (*.f64 (log.f64 (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 y)) #s(literal -1 binary64))
(+.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64)))) (neg.f64 (pow.f64 (-.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))))
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (neg.f64 (pow.f64 (+.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal -1 binary64))))
(+.f64 #s(literal -1 binary64) y)
(+.f64 y #s(literal -1 binary64))

eval53.0ms (0.9%)

Memory: 17.9MiB live, 54.4MiB allocated
Compiler: Compiled 9 010 to 889 computations (90.1% saved)

prune20.0ms (0.4%)

Memory

-26.2MiB live, 20.0MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	310	0	310
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	310	6	316

Accuracy

100.0%

Counts

316 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	92.3%	(fma.f64 (*.f64 y y) x x)
✓	85.7%	(/.f64 (.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) x) (-.f64 y #s(literal 1 binary64)))
✓	37.3%	(/.f64 (.f64 #s(approx ( (+ (* y y) 1) (- y 1)) (pow.f64 y #s(literal 3 binary64))) x) (-.f64 y #s(literal 1 binary64)))
✓	50.2%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
✓	45.2%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
✓	52.8%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 173 to 92 computations (46.8% saved)

regimes15.0ms (0.3%)

Memory

32.9MiB live, 32.9MiB allocated

Counts

9 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes12.0ms (0.2%)

Memory

-17.6MiB live, 19.0MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

5 calls:

5.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))
2.0ms	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
2.0ms	x
2.0ms	y
1.0ms	(*.f64 y y)

Results

Accuracy	Segments	Branch
60.8%	4	`x`
98.1%	2	`y`
82.2%	2	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
98.1%	2	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
98.1%	2	`(*.f64 y y)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes6.0ms (0.1%)

Memory

15.3MiB live, 15.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
50.2%	1	`x`
50.2%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
50.2%	1	`y`
50.2%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
50.2%	1	`(*.f64 y y)`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.002121834070132181	8.659452628334988

Compiler

Compiled 10 to 11 computations (-10% saved)

simplify12.0ms (0.2%)

Memory

-16.5MiB live, 20.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	43
1	27	43
2	35	43
3	58	43
4	58	43

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 y y) #s(literal 1152921504606847/288230376151711744 binary64)) (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)))

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

Outputs

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

(if (<=.f64 (*.f64 y y) #s(literal 1152921504606847/288230376151711744 binary64)) (*.f64 x #s(approx (+ 1 (* y y)) #s(literal 1 binary64))) #s(approx (* x (+ 1 (* y y))) (*.f64 (*.f64 y x) y)))

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

soundness641.0ms (11.3%)

Memory

13.6MiB live, 330.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	34	15
2	209	15
3	1409	15
0	8238	13
0	21	82
0	33	75
1	136	70
2	769	70
0	8592	67
0	15	41
1	42	41
2	74	41
3	212	41
4	702	41
5	1925	41
6	2604	41
7	3692	41
8	5035	41
9	5933	41
10	6892	41
11	7235	41
12	7350	41
13	7427	41
14	7496	41
15	7643	41
0	8184	36

Stop Event

1×	done
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 80 to 47 computations (41.3% saved)

preprocess32.0ms (0.6%)

Memory

16.7MiB live, 54.7MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 138 to 74 computations (46.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	16	37
1	65	37
2	192	35
3	476	35
4	657	35
5	769	35
6	801	35
0	6	7
0	9	7
1	19	7
2	27	7
3	49	7
4	49	7
0	49	6

Iter	Nodes	Cost
0	16	37
1	65	37
2	192	35
3	476	35
4	657	35
5	769	35
6	801	35
0	6	7
0	9	7
1	19	7
2	27	7
3	49	7
4	49	7
0	49	6

start0.0ms (0%)

analyze0.0ms (0%)

sample948.0ms (16.7%)

explain141.0ms (2.5%)

preprocess33.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize19.0ms (0.3%)

series4.0ms (0.1%)

simplify217.0ms (3.8%)

rewrite389.0ms (6.9%)

eval203.0ms (3.6%)

prune10.0ms (0.2%)

simplify122.0ms (2.1%)

localize66.0ms (1.2%)

series15.0ms (0.3%)

simplify107.0ms (1.9%)

rewrite469.0ms (8.3%)

eval104.0ms (1.8%)

prune14.0ms (0.2%)

simplify283.0ms (5%)

localize249.0ms (4.4%)

series172.0ms (3%)

simplify394.0ms (7%)

rewrite206.0ms (3.6%)

eval175.0ms (3.1%)

prune28.0ms (0.5%)

simplify95.0ms (1.7%)

localize64.0ms (1.1%)

series5.0ms (0.1%)

simplify160.0ms (2.8%)

rewrite189.0ms (3.3%)

eval53.0ms (0.9%)

prune20.0ms (0.4%)

regimes15.0ms (0.3%)

regimes12.0ms (0.2%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

simplify12.0ms (0.2%)

soundness641.0ms (11.3%)

preprocess32.0ms (0.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	16	37
1	65	37
2	192	35
3	476	35
4	657	35
5	769	35
6	801	35
0	6	7
0	9	7
1	19	7
2	27	7
3	49	7
4	49	7
0	49	6