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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample1.2s (14%)

Memory

-8.8MiB live, 1 023.9MiB allocated

Samples

994.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 691.0ms

ival-mult: 464.0ms (67.1% of total)

ival-add: 213.0ms (30.8% of total)

ival-true: 6.0ms (0.9% of total)

exact: 5.0ms (0.7% of total)

ival-assert: 3.0ms (0.4% of total)

Bogosity

explain100.0ms (1.1%)

Memory

13.8MiB live, 201.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
10	-	-	`(.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**	10	0

Confusion

	Predicted +	Predicted -
+	10	0
-	0	246

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	10	0	0
-	0	0	246

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	246
1	10

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

45.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 7.0ms (65.5% of total)

ival-add: 2.0ms (18.7% of total)

exact: 1.0ms (9.4% of total)

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

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

preprocess50.0ms (0.6%)

Memory

15.0MiB live, 61.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	71	37
2	235	35
3	479	35
4	702	35
5	791	35
6	857	35
7	875	35
8	880	35
9	880	35
10	920	35
11	1000	35
0	6	7
0	9	7
1	25	7
2	71	7
3	195	7
4	367	7
5	455	7
6	530	7
7	582	7
8	587	7
0	587	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

1.0MiB live, 1.0MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.2%	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify48.0ms (0.5%)

Memory

-7.8MiB live, 36.7MiB 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	1	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	25	18
2	71	18
3	195	18
4	367	18
5	455	18
6	530	18
7	582	18
8	587	18
0	587	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

localize186.0ms (2.1%)

Memory

-29.0MiB live, 16.4MiB 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	2.408243303676127	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 3.0ms (63% of total)

ival-add: 1.0ms (21% 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%)

Memory

4.1MiB live, 4.1MiB 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	x	@	-inf	((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y))
0.0ms	y	@	-inf	((+ 1 (* y y)) (* x (+ 1 (* y y))) (* y y))

simplify687.0ms (7.8%)

Memory

6.6MiB live, 97.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	46	41
2	114	41
3	474	41
4	3126	41
0	8249	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)

rewrite177.0ms (2%)

Memory

14.9MiB live, 207.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	41	15
2	288	15
3	2484	15
0	8451	13

Stop Event

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

Counts

3 → 242

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 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (+.f64 (pow.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) (-.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.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))) (fma.f64 y y #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 4 binary64)))) (fma.f64 y y #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) (fma.f64 y y (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 4 binary64)))) (fma.f64 y y #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) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (-.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64))) (pow.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64))))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -3 binary64)) (/.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))))))))
(/.f64 (+.f64 (/.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -3 binary64)) (/.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -3 binary64)) (/.f64 (pow.f64 y #s(literal 18 binary64)) (pow.f64 (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64))))) (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64))))) (neg.f64 (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64)))))
(/.f64 (-.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))) (.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) (.f64 (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) (.f64 (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 1 binary64))) (.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64)))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 y #s(literal 6 binary64)))) (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) (*.f64 (+.f64 #s(literal -1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64)))) #s(literal -1 binary64))) (-.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 8 binary64))) (pow.f64 y #s(literal 4 binary64))))
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eval43.0ms (0.5%)

Memory: 6.5MiB live, 88.0MiB allocated
Compiler: Compiled 6 505 to 801 computations (87.7% saved)

prune7.0ms (0.1%)

Memory

17.8MiB live, 17.8MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	240	7	247
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	241	7	248

Accuracy

100.0%

Counts

248 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	96.2%	(fma.f64 (*.f64 y y) x x)
▶	99.9%	(fma.f64 (*.f64 x y) y x)
	57.4%	(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) (fma.f64 y y (pow.f64 y #s(literal 4 binary64))))))
	69.1%	(*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
▶	67.9%	(*.f64 x (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
▶	51.3%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
▶	49.2%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))

Compiler

Compiled 160 to 118 computations (26.3% saved)

simplify142.0ms (1.6%)

Memory

-28.3MiB live, 78.9MiB 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	66	101
2	142	101
3	356	101
4	787	101
5	1570	101
6	3496	101
7	4931	101
8	6750	101
0	8135	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 (+.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 4 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)

localize50.0ms (0.6%)

Memory

24.7MiB live, 114.7MiB 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	2.408243303676127	(*.f64 x (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
accuracy	20.257948902126426	(/.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	2.408243303676127	(fma.f64 (*.f64 y y) x x)
accuracy	0.0	(*.f64 y y)
accuracy	6.596806672562557	(.f64 (.f64 y y) x)
accuracy	30.08982228867286	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
accuracy	2.408243303676127	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
accuracy	31.395317991980345	#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

38.0ms

256×

valid

Compiler

Compiled 99 to 20 computations (79.8% saved)

Precisions

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

ival-mult: 9.0ms (39.2% of total)

ival-pow: 6.0ms (26.1% of total)

ival-add: 4.0ms (17.4% of total)

ival-div: 2.0ms (8.7% 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)

series33.0ms (0.4%)

Memory

-1.2MiB live, 49.8MiB 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
20.0ms	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))
3.0ms	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	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))
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))

simplify151.0ms (1.7%)

Memory

11.7MiB live, 242.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	84
1	73	84
2	164	84
3	591	84
4	2429	84
5	6247	84
0	8651	77

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

rewrite189.0ms (2.1%)

Memory

-17.1MiB live, 276.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	82
0	33	75
1	138	70
2	804	70
0	9391	67

Stop Event

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

Counts

12 → 884

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 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 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))))) (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)))
(.f64 (.f64 x (/.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 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #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 4 binary64))) (+.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))
(*.f64 (/.f64 x (+.f64 (neg.f64 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 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 (neg.f64 y) #s(literal 1 binary64))) (/.f64 x (-.f64 (neg.f64 y) #s(literal 1 binary64))))
(*.f64 (/.f64 x (+.f64 (neg.f64 y) #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 (neg.f64 y) #s(literal 1 binary64))))
(*.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)))
(.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 (fma.f64 y (-.f64 (pow.f64 y #s(literal 3 binary64)) y) #s(literal 1 binary64)) x))
(.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 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #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)) (+.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 y #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 x (+.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) y)))
(*.f64 (fma.f64 y y #s(literal 1 binary64)) x)
(.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)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 x (fma.f64 y y #s(literal -1 binary64))))) (.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 y y #s(literal -1 binary64)))))) (+.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (.f64 x (fma.f64 (fma.f64 y y #s(literal 1 binary64)) x (.f64 (pow.f64 y #s(literal 4 binary64)) x)))) (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (.f64 x (fma.f64 (fma.f64 y y #s(literal 1 binary64)) x (.f64 (pow.f64 y #s(literal 4 binary64)) x))))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (fma.f64 y y #s(literal 1 binary64)) x (.f64 (pow.f64 y #s(literal 4 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (fma.f64 y y #s(literal 1 binary64)) x (.f64 (pow.f64 y #s(literal 4 binary64)) x)))))) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (fma.f64 (/.f64 (.f64 x x) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (.f64 x x) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 2 binary64)) (.f64 x (fma.f64 y y #s(literal -1 binary64)))) (/.f64 (.f64 x x) (*.f64 x (fma.f64 y y #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (.f64 (neg.f64 y) y) x) #s(literal 3 binary64))) (fma.f64 x x (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) x (.f64 x (.f64 (.f64 (neg.f64 y) y) x)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (.f64 x (fma.f64 (fma.f64 y y #s(literal 1 binary64)) x (.f64 (pow.f64 y #s(literal 4 binary64)) x)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (fma.f64 y y #s(literal 1 binary64)) x (.f64 (pow.f64 y #s(literal 4 binary64)) x)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (.f64 x (fma.f64 (fma.f64 y y #s(literal 1 binary64)) x (.f64 (pow.f64 y #s(literal 4 binary64)) x)))) (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (.f64 x (fma.f64 (fma.f64 y y #s(literal 1 binary64)) x (.f64 (pow.f64 y #s(literal 4 binary64)) x)))) (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (fma.f64 y y #s(literal 1 binary64)) x (.f64 (pow.f64 y #s(literal 4 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (fma.f64 y y #s(literal 1 binary64)) x (.f64 (pow.f64 y #s(literal 4 binary64)) x))))) (.f64 (/.f64 (pow.f64 (.f64 (.f64 y y) x) #s(literal 3 binary64)) (.f64 x (fma.f64 (fma.f64 y y #s(literal 1 binary64)) x (.f64 (pow.f64 y #s(literal 4 binary64)) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x (fma.f64 (fma.f64 y y #s(literal 1 binary64)) x (.f64 (pow.f64 y #s(literal 4 binary64)) x))))))))
(/.f64 (neg.f64 (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) x) (+.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) y))
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 6 binary64))) x)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 y #s(literal 6 binary64)) x x)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (neg.f64 (.f64 x (-.f64 x (.f64 (pow.f64 y #s(literal 4 binary64)) x)))) (neg.f64 (fma.f64 (*.f64 y x) y x)))
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eval89.0ms (1%)

Memory: -22.5MiB live, 214.7MiB allocated
Compiler: Compiled 17 163 to 2 112 computations (87.7% saved)

prune28.0ms (0.3%)

Memory

21.2MiB live, 68.3MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	667	4	671
Fresh	1	1	2
Picked	2	3	5
Done	0	0	0
Total	670	8	678

Accuracy

100.0%

Counts

678 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.2%	(fma.f64 (*.f64 y y) x x)
▶	82.3%	(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 y #s(literal 1 binary64))))
▶	71.4%	(.f64 (.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
▶	69.1%	(*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
▶	67.9%	(.f64 x (/.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
✓	51.3%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
✓	49.2%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
▶	52.9%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 182 to 115 computations (36.8% saved)

simplify216.0ms (2.4%)

Memory

10.7MiB live, 286.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
cost-diff	0	(pow.f64 y #s(literal 3 binary64))
cost-diff	1	(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
cost-diff	1	(*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
cost-diff	0	(fma.f64 y y #s(literal 1 binary64))
cost-diff	0	(/.f64 x (fma.f64 y y #s(literal 1 binary64)))
cost-diff	0	(.f64 (.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
cost-diff	10	(*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
cost-diff	0	(*.f64 y y)
cost-diff	0	(.f64 x (/.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
cost-diff	3	(fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64))
cost-diff	6	(/.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) (fma.f64 y 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))
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)) (+.f64 #s(literal 1 binary64) y))
cost-diff	9	(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 y #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	218
0	58	218
1	135	201
2	475	165
3	2551	165
0	8649	164

Stop Event

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

Calls

Call 1

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

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

localize202.0ms (2.3%)

Memory

-31.4MiB live, 184.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.2999064721500174	(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))
accuracy	2.408243303676127	(*.f64 x (fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
accuracy	6.033096062078826	(fma.f64 (pow.f64 y #s(literal 3 binary64)) (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
accuracy	14.634317931905532	(/.f64 y (fma.f64 y y #s(literal -1 binary64)))
accuracy	0.0	(fma.f64 y y #s(literal 1 binary64))
accuracy	2.408243303676127	(.f64 (.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
accuracy	3.7723993997902943	(/.f64 x (fma.f64 y y #s(literal 1 binary64)))
accuracy	17.60383412536236	(*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	0.06478500976844201	(fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64))
accuracy	2.408243303676127	(.f64 x (/.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
accuracy	20.257948902126426	(/.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64)))
accuracy	0.0	(*.f64 y x)
accuracy	0.09765625	(.f64 (.f64 y x) y)
accuracy	30.08982228867286	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))
accuracy	0.0	(+.f64 #s(literal 1 binary64) y)
accuracy	0.0078125	(/.f64 x (-.f64 y #s(literal 1 binary64)))
accuracy	1.6414756983781424	(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y))
accuracy	9.482425099399737	(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 y #s(literal 1 binary64))))

Samples

157.0ms

256×

valid

Compiler

Compiled 237 to 35 computations (85.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 108.0ms

ival-mult: 82.0ms (76.2% of total)

ival-pow: 8.0ms (7.4% of total)

ival-div: 7.0ms (6.5% of total)

ival-add: 7.0ms (6.5% of total)

ival-sub: 3.0ms (2.8% of total)

exact: 1.0ms (0.9% of total)

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

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

series43.0ms (0.5%)

Memory

2.9MiB live, 57.4MiB allocated

Counts

22 → 75

Calls

Call 1

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

Outputs
(/ (* x (- (pow y 4) 1)) (* (+ 1 y) (- y 1)))
(* x (+ 1 (pow y 2)))
(* x (pow y 2))
(* x y)
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
x
(/ x (+ 1 (pow y 2)))
(* x (+ (/ 1 (+ 1 (pow y 2))) (/ (pow y 4) (- (pow y 2) 1))))
(/ x (- y 1))
(+ x (* x (pow y 2)))
-1
(- y 1)
(- (* y (+ 1 (* -1 y))) 1)
(- (* y (+ 1 (* y (- y 1)))) 1)
(- (pow y 4) 1)
(pow y 4)
1
(+ 1 (pow y 2))
(pow y 2)
(+ x (* -1 (* x (pow y 2))))
(+ x (* (pow y 2) (- (* x (pow y 2)) x)))
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) (* -1 x))) x)))
(+ x (* (pow y 2) (+ (* -2 (* x (pow y 4))) (* -1 x))))
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 4) (+ (* -2 x) (* -2 (* x (pow y 4))))))))
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* -2 (pow y 4)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 4) (- (* -2 (pow y 4)) 2)) 1)))
(pow y 3)
(* -1 y)
(* y (- (* -1 (pow y 2)) 1))
(* y (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1))
(* -1 x)
(+ (* -1 x) (* -1 (* x y)))
(+ (* -1 x) (* y (- (* -1 (* x y)) x)))
(+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x)))
(+ 1 y)
(+ 1 (* (pow y 2) (- (pow y 2) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1)))
(* (pow y 2) (+ x (/ 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)))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(/ x (pow y 2))
(/ (+ x (* -1 (/ x (pow y 2)))) (pow y 2))
(/ (- (+ x (/ x (pow y 4))) (/ x (pow y 2))) (pow y 2))
(/ (- (+ x (* -1 (/ x (pow y 6)))) (+ (* -1 (/ x (pow y 4))) (/ x (pow y 2)))) (pow y 2))
(* (pow y 2) (+ x (+ (* 2 (/ x (pow y 4))) (/ x (pow y 2)))))
(* (pow y 2) (+ x (+ (* 2 (/ x (pow y 4))) (+ (* 2 (/ x (pow y 8))) (/ x (pow y 2))))))
(* (pow y 2) (+ 1 (+ (/ 1 (pow y 2)) (/ 2 (pow y 4)))))
(* (pow y 2) (+ 1 (+ (/ 1 (pow y 2)) (+ (* 2 (/ 1 (pow y 8))) (/ 2 (pow y 4))))))
(/ 1 y)
(/ (+ 1 (/ 1 (pow y 2))) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) y)
(/ x y)
(/ (+ x (/ x y)) y)
(/ (- (+ x (/ x (pow y 2))) (* -1 (/ x y))) y)
(/ (- (+ x (/ x (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 2))))) y)
y
(* y (+ 1 (/ 1 y)))
(/ 1 (pow y 2))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
(* -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 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) y))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x y)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))) y))) y))

Calls

6 calls:

Time	Variable		Point	Expression
18.0ms	y	@	0	((* (/ (- (pow y 4) 1) (+ 1 y)) (/ x (- y 1))) (/ (- (pow y 4) 1) (+ 1 y)) (- (pow y 4) 1) (pow y 4) (* x (+ 1 (* y y))) (* (* y x) y) (* y x) (/ (+ (* (* y y) (* y y)) -1) (+ (* y y) -1)) (+ (* (* y y) (* y y)) -1) (* x (/ (+ (* (* y y) (* y y)) -1) (+ (* y y) -1))) (* y y) (* (/ x (+ (* y y) 1)) (+ (* y y) 1)) (* (* (/ x (+ (* y y) 1)) (+ (* y y) 1)) (+ (* y y) 1)) (/ x (+ (* y y) 1)) (+ (* y y) 1) (* x (+ (* (pow y 3) (/ y (+ (* y y) -1))) (pow (+ (* y y) 1) -1))) (+ (* (pow y 3) (/ y (+ (* y y) -1))) (pow (+ (* y y) 1) -1)) (pow y 3) (/ y (+ (* y y) -1)) (/ x (- y 1)) (+ 1 y) (pow (+ (* y y) 1) -1))
7.0ms	y	@	inf	((* (/ (- (pow y 4) 1) (+ 1 y)) (/ x (- y 1))) (/ (- (pow y 4) 1) (+ 1 y)) (- (pow y 4) 1) (pow y 4) (* x (+ 1 (* y y))) (* (* y x) y) (* y x) (/ (+ (* (* y y) (* y y)) -1) (+ (* y y) -1)) (+ (* (* y y) (* y y)) -1) (* x (/ (+ (* (* y y) (* y y)) -1) (+ (* y y) -1))) (* y y) (* (/ x (+ (* y y) 1)) (+ (* y y) 1)) (* (* (/ x (+ (* y y) 1)) (+ (* y y) 1)) (+ (* y y) 1)) (/ x (+ (* y y) 1)) (+ (* y y) 1) (* x (+ (* (pow y 3) (/ y (+ (* y y) -1))) (pow (+ (* y y) 1) -1))) (+ (* (pow y 3) (/ y (+ (* y y) -1))) (pow (+ (* y y) 1) -1)) (pow y 3) (/ y (+ (* y y) -1)) (/ x (- y 1)) (+ 1 y) (pow (+ (* y y) 1) -1))
5.0ms	x	@	-inf	((* (/ (- (pow y 4) 1) (+ 1 y)) (/ x (- y 1))) (/ (- (pow y 4) 1) (+ 1 y)) (- (pow y 4) 1) (pow y 4) (* x (+ 1 (* y y))) (* (* y x) y) (* y x) (/ (+ (* (* y y) (* y y)) -1) (+ (* y y) -1)) (+ (* (* y y) (* y y)) -1) (* x (/ (+ (* (* y y) (* y y)) -1) (+ (* y y) -1))) (* y y) (* (/ x (+ (* y y) 1)) (+ (* y y) 1)) (* (* (/ x (+ (* y y) 1)) (+ (* y y) 1)) (+ (* y y) 1)) (/ x (+ (* y y) 1)) (+ (* y y) 1) (* x (+ (* (pow y 3) (/ y (+ (* y y) -1))) (pow (+ (* y y) 1) -1))) (+ (* (pow y 3) (/ y (+ (* y y) -1))) (pow (+ (* y y) 1) -1)) (pow y 3) (/ y (+ (* y y) -1)) (/ x (- y 1)) (+ 1 y) (pow (+ (* y y) 1) -1))
4.0ms	x	@	0	((* (/ (- (pow y 4) 1) (+ 1 y)) (/ x (- y 1))) (/ (- (pow y 4) 1) (+ 1 y)) (- (pow y 4) 1) (pow y 4) (* x (+ 1 (* y y))) (* (* y x) y) (* y x) (/ (+ (* (* y y) (* y y)) -1) (+ (* y y) -1)) (+ (* (* y y) (* y y)) -1) (* x (/ (+ (* (* y y) (* y y)) -1) (+ (* y y) -1))) (* y y) (* (/ x (+ (* y y) 1)) (+ (* y y) 1)) (* (* (/ x (+ (* y y) 1)) (+ (* y y) 1)) (+ (* y y) 1)) (/ x (+ (* y y) 1)) (+ (* y y) 1) (* x (+ (* (pow y 3) (/ y (+ (* y y) -1))) (pow (+ (* y y) 1) -1))) (+ (* (pow y 3) (/ y (+ (* y y) -1))) (pow (+ (* y y) 1) -1)) (pow y 3) (/ y (+ (* y y) -1)) (/ x (- y 1)) (+ 1 y) (pow (+ (* y y) 1) -1))
4.0ms	x	@	inf	((* (/ (- (pow y 4) 1) (+ 1 y)) (/ x (- y 1))) (/ (- (pow y 4) 1) (+ 1 y)) (- (pow y 4) 1) (pow y 4) (* x (+ 1 (* y y))) (* (* y x) y) (* y x) (/ (+ (* (* y y) (* y y)) -1) (+ (* y y) -1)) (+ (* (* y y) (* y y)) -1) (* x (/ (+ (* (* y y) (* y y)) -1) (+ (* y y) -1))) (* y y) (* (/ x (+ (* y y) 1)) (+ (* y y) 1)) (* (* (/ x (+ (* y y) 1)) (+ (* y y) 1)) (+ (* y y) 1)) (/ x (+ (* y y) 1)) (+ (* y y) 1) (* x (+ (* (pow y 3) (/ y (+ (* y y) -1))) (pow (+ (* y y) 1) -1))) (+ (* (pow y 3) (/ y (+ (* y y) -1))) (pow (+ (* y y) 1) -1)) (pow y 3) (/ y (+ (* y y) -1)) (/ x (- y 1)) (+ 1 y) (pow (+ (* y y) 1) -1))

simplify227.0ms (2.6%)

Memory

29.9MiB live, 298.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	215	849
1	652	808
2	2041	780
3	6709	780
0	8267	751

Stop Event

1×	iter limit
1×	node limit

Counts

75 → 73

Calls

Call 1

Inputs
(/ (* x (- (pow y 4) 1)) (* (+ 1 y) (- y 1)))
(* x (+ 1 (pow y 2)))
(* x (pow y 2))
(* x y)
(/ (* x (- (pow y 4) 1)) (- (pow y 2) 1))
x
(/ x (+ 1 (pow y 2)))
(* x (+ (/ 1 (+ 1 (pow y 2))) (/ (pow y 4) (- (pow y 2) 1))))
(/ x (- y 1))
(+ x (* x (pow y 2)))
-1
(- y 1)
(- (* y (+ 1 (* -1 y))) 1)
(- (* y (+ 1 (* y (- y 1)))) 1)
(- (pow y 4) 1)
(pow y 4)
1
(+ 1 (pow y 2))
(pow y 2)
(+ x (* -1 (* x (pow y 2))))
(+ x (* (pow y 2) (- (* x (pow y 2)) x)))
(+ x (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) (* -1 x))) x)))
(+ x (* (pow y 2) (+ (* -2 (* x (pow y 4))) (* -1 x))))
(+ x (* (pow y 2) (+ (* -1 x) (* (pow y 4) (+ (* -2 x) (* -2 (* x (pow y 4))))))))
(+ 1 (* -1 (pow y 2)))
(+ 1 (* (pow y 2) (- (* -2 (pow y 4)) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 4) (- (* -2 (pow y 4)) 2)) 1)))
(pow y 3)
(* -1 y)
(* y (- (* -1 (pow y 2)) 1))
(* y (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1))
(* y (- (* (pow y 2) (- (* (pow y 2) (- (* -1 (pow y 2)) 1)) 1)) 1))
(* -1 x)
(+ (* -1 x) (* -1 (* x y)))
(+ (* -1 x) (* y (- (* -1 (* x y)) x)))
(+ (* -1 x) (* y (- (* y (- (* -1 (* x y)) x)) x)))
(+ 1 y)
(+ 1 (* (pow y 2) (- (pow y 2) 1)))
(+ 1 (* (pow y 2) (- (* (pow y 2) (+ 1 (* -1 (pow y 2)))) 1)))
(* (pow y 2) (+ x (/ 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)))))
(* (pow y 4) (- 1 (/ 1 (pow y 4))))
(* (pow y 2) (+ 1 (/ 1 (pow y 2))))
(/ x (pow y 2))
(/ (+ x (* -1 (/ x (pow y 2)))) (pow y 2))
(/ (- (+ x (/ x (pow y 4))) (/ x (pow y 2))) (pow y 2))
(/ (- (+ x (* -1 (/ x (pow y 6)))) (+ (* -1 (/ x (pow y 4))) (/ x (pow y 2)))) (pow y 2))
(* (pow y 2) (+ x (+ (* 2 (/ x (pow y 4))) (/ x (pow y 2)))))
(* (pow y 2) (+ x (+ (* 2 (/ x (pow y 4))) (+ (* 2 (/ x (pow y 8))) (/ x (pow y 2))))))
(* (pow y 2) (+ 1 (+ (/ 1 (pow y 2)) (/ 2 (pow y 4)))))
(* (pow y 2) (+ 1 (+ (/ 1 (pow y 2)) (+ (* 2 (/ 1 (pow y 8))) (/ 2 (pow y 4))))))
(/ 1 y)
(/ (+ 1 (/ 1 (pow y 2))) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (/ 1 (pow y 4)))) y)
(/ (+ 1 (+ (/ 1 (pow y 2)) (+ (/ 1 (pow y 4)) (/ 1 (pow y 6))))) y)
(/ x y)
(/ (+ x (/ x y)) y)
(/ (- (+ x (/ x (pow y 2))) (* -1 (/ x y))) y)
(/ (- (+ x (/ x (pow y 3))) (+ (* -1 (/ x y)) (* -1 (/ x (pow y 2))))) y)
y
(* y (+ 1 (/ 1 y)))
(/ 1 (pow y 2))
(/ (- 1 (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (/ 1 (pow y 2))) (pow y 2))
(/ (- (+ 1 (/ 1 (pow y 4))) (+ (/ 1 (pow y 2)) (/ 1 (pow y 6)))) (pow y 2))
(* -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 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) y))
(* -1 (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (/ x y)) y))) y))
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y))) y))) y))

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

rewrite291.0ms (3.3%)

Memory

-5.8MiB live, 385.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	186
0	58	173
1	253	143
2	2113	143
0	8462	142

Stop Event

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

Counts

22 → 1 798

Calls

Call 1

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

Outputs
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(+.f64 #s(literal 1 binary64) y)
(+.f64 y #s(literal 1 binary64))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)))) (neg.f64 (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)))))
(*.f64 (fabs.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))) (fabs.f64 (fma.f64 (neg.f64 y) y #s(literal 1 binary64))))
(.f64 (fabs.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) (fabs.f64 (fma.f64 (.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))))
(.f64 (fabs.f64 (pow.f64 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal -1 binary64))) (fabs.f64 (fma.f64 y y #s(literal -1 binary64))))
(*.f64 (pow.f64 (fabs.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (fabs.f64 (fma.f64 y y #s(literal 1 binary64))) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1 binary64)) (.f64 #s(literal -1 binary64) (.f64 y y))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (expm1.f64 (*.f64 (log.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 y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(.f64 (pow.f64 (+.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64)))
(.f64 (pow.f64 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 y y #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 (neg.f64 y) y #s(literal 1 binary64)))
(*.f64 (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log1p.f64 (*.f64 y y)))
(pow.f64 (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (neg.f64 (log1p.f64 (.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log1p.f64 (.f64 y y)))) #s(literal 3 binary64))) (fma.f64 (cosh.f64 (neg.f64 (log1p.f64 (.f64 y y)))) (cosh.f64 (neg.f64 (log1p.f64 (.f64 y y)))) (-.f64 (.f64 (sinh.f64 (neg.f64 (log1p.f64 (.f64 y y)))) (sinh.f64 (neg.f64 (log1p.f64 (.f64 y y))))) (.f64 (cosh.f64 (neg.f64 (log1p.f64 (.f64 y y)))) (sinh.f64 (neg.f64 (log1p.f64 (.f64 y y))))))))
(/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 y) y #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (fabs.f64 (fma.f64 y y #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -2 binary64)))
(fabs.f64 (neg.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64))))
(fabs.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))
(exp.f64 (fma.f64 (log1p.f64 (.f64 y y)) #s(literal -1/2 binary64) (.f64 (log1p.f64 (*.f64 y y)) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (.f64 (log1p.f64 (*.f64 y y)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 y y))))
(+.f64 (cosh.f64 (neg.f64 (log1p.f64 (.f64 y y)))) (sinh.f64 (neg.f64 (log1p.f64 (.f64 y y)))))

eval442.0ms (5%)

Memory: -4.9MiB live, 317.9MiB allocated
Compiler: Compiled 31 575 to 3 692 computations (88.3% saved)

prune61.0ms (0.7%)

Memory

29.8MiB live, 75.4MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	1 136	3	1 139
Fresh	0	0	0
Picked	3	2	5
Done	0	3	3
Total	1 139	8	1 147

Accuracy

100.0%

Counts

1 147 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.2%	(fma.f64 (*.f64 y y) x x)
▶	82.3%	(.f64 (/.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 y #s(literal 1 binary64))))
▶	83.8%	(.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)))
▶	24.3%	(.f64 (.f64 #s(approx (/ x (+ (* y y) 1)) (/.f64 x (*.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
✓	67.9%	(.f64 x (/.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
✓	51.3%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
✓	49.2%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
✓	52.9%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 112 to 73 computations (34.8% saved)

simplify248.0ms (2.8%)

Memory

-15.7MiB live, 130.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	168
0	42	168
1	95	165
2	349	157
3	1463	157
4	4664	157
0	8651	156

Stop Event

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

Calls

Call 1

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

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

localize554.0ms (6.3%)

Memory

-8.1MiB live, 198.5MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.0078125	(/.f64 x (-.f64 y #s(literal 1 binary64)))
accuracy	0.06478500976844201	(fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64))
accuracy	1.6414756983781424	(/.f64 (fma.f64 (.f64 y y) (.f64 y y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y))
accuracy	9.482425099399737	(.f64 (/.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y)) (/.f64 x (-.f64 y #s(literal 1 binary64))))
accuracy	0.0	(neg.f64 y)
accuracy	0.0078125	(/.f64 x (-.f64 y #s(literal 1 binary64)))
accuracy	0.05078125	(*.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y))
accuracy	9.482425099399737	(.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)))
accuracy	2.408243303676127	(.f64 (.f64 #s(approx (/ x (+ (* y y) 1)) (/.f64 x (*.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
accuracy	7.539680149095407	(/.f64 x (*.f64 y y))
accuracy	17.60383412536236	(.f64 #s(approx (/ x (+ ( y y) 1)) (/.f64 x (*.f64 y y))) (fma.f64 y y #s(literal 1 binary64)))
accuracy	30.150508738215184	#s(approx (/ x (+ (* y y) 1)) (/.f64 x (*.f64 y y)))

Samples

539.0ms

256×

valid

Compiler

Compiled 165 to 25 computations (84.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 524.0ms

ival-mult: 198.0ms (37.8% of total)

ival-add: 167.0ms (31.9% of total)

ival-sub: 152.0ms (29% of total)

ival-div: 6.0ms (1.1% of total)

ival-neg: 1.0ms (0.2% of total)

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

exact: 0.0ms (0% of total)

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

series165.0ms (1.9%)

Memory

-17.1MiB live, 30.1MiB allocated

Counts

13 → 46

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
149.0ms	y	@	0	((* (* (/ x (+ (* y y) 1)) (+ (* y y) 1)) (+ (* y y) 1)) (* (/ x (+ (* y y) 1)) (+ (* y y) 1)) (/ x (+ (* y y) 1)) (/ x (* y y)) (* (/ x (- y 1)) (* (+ (* (neg y) y) -1) (- 1 y))) (/ x (- y 1)) (- y 1) (* (+ (* (neg y) y) -1) (- 1 y)) (* (/ (+ (* (* y y) (* y y)) -1) (+ 1 y)) (/ x (- y 1))) (+ (* (* y y) (* y y)) -1) (/ (+ (* (* y y) (* y y)) -1) (+ 1 y)) (* y y) (neg y))
4.0ms	x	@	-inf	((* (* (/ x (+ (* y y) 1)) (+ (* y y) 1)) (+ (* y y) 1)) (* (/ x (+ (* y y) 1)) (+ (* y y) 1)) (/ x (+ (* y y) 1)) (/ x (* y y)) (* (/ x (- y 1)) (* (+ (* (neg y) y) -1) (- 1 y))) (/ x (- y 1)) (- y 1) (* (+ (* (neg y) y) -1) (- 1 y)) (* (/ (+ (* (* y y) (* y y)) -1) (+ 1 y)) (/ x (- y 1))) (+ (* (* y y) (* y y)) -1) (/ (+ (* (* y y) (* y y)) -1) (+ 1 y)) (* y y) (neg y))
3.0ms	x	@	0	((* (* (/ x (+ (* y y) 1)) (+ (* y y) 1)) (+ (* y y) 1)) (* (/ x (+ (* y y) 1)) (+ (* y y) 1)) (/ x (+ (* y y) 1)) (/ x (* y y)) (* (/ x (- y 1)) (* (+ (* (neg y) y) -1) (- 1 y))) (/ x (- y 1)) (- y 1) (* (+ (* (neg y) y) -1) (- 1 y)) (* (/ (+ (* (* y y) (* y y)) -1) (+ 1 y)) (/ x (- y 1))) (+ (* (* y y) (* y y)) -1) (/ (+ (* (* y y) (* y y)) -1) (+ 1 y)) (* y y) (neg y))
3.0ms	x	@	inf	((* (* (/ x (+ (* y y) 1)) (+ (* y y) 1)) (+ (* y y) 1)) (* (/ x (+ (* y y) 1)) (+ (* y y) 1)) (/ x (+ (* y y) 1)) (/ x (* y y)) (* (/ x (- y 1)) (* (+ (* (neg y) y) -1) (- 1 y))) (/ x (- y 1)) (- y 1) (* (+ (* (neg y) y) -1) (- 1 y)) (* (/ (+ (* (* y y) (* y y)) -1) (+ 1 y)) (/ x (- y 1))) (+ (* (* y y) (* y y)) -1) (/ (+ (* (* y y) (* y y)) -1) (+ 1 y)) (* y y) (neg y))
2.0ms	y	@	inf	((* (* (/ x (+ (* y y) 1)) (+ (* y y) 1)) (+ (* y y) 1)) (* (/ x (+ (* y y) 1)) (+ (* y y) 1)) (/ x (+ (* y y) 1)) (/ x (* y y)) (* (/ x (- y 1)) (* (+ (* (neg y) y) -1) (- 1 y))) (/ x (- y 1)) (- y 1) (* (+ (* (neg y) y) -1) (- 1 y)) (* (/ (+ (* (* y y) (* y y)) -1) (+ 1 y)) (/ x (- y 1))) (+ (* (* y y) (* y y)) -1) (/ (+ (* (* y y) (* y y)) -1) (+ 1 y)) (* y y) (neg y))

simplify270.0ms (3.1%)

Memory

-7.3MiB live, 324.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	453
1	376	424
2	1094	416
3	3653	416
0	8353	403

Stop Event

1×	iter limit
1×	node limit

Counts

46 → 44

Calls

Call 1

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

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

rewrite292.0ms (3.3%)

Memory

6.2MiB live, 386.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	131
0	42	124
1	166	119
2	1320	113
0	10047	111

Stop Event

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

Counts

13 → 1 035

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 #s(approx (/ x (+ (* y y) 1)) (/.f64 x (.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (/.f64 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (-.f64 y #s(literal 1 binary64))))
(.f64 (/.f64 (.f64 #s(approx (/ x (+ (* y y) 1)) (/.f64 x (.f64 y y))) (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 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (-.f64 y #s(literal 1 binary64))) (/.f64 (.f64 #s(approx (/ x (+ ( y y) 1)) (/.f64 x (*.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))
(.f64 (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 2 binary64)) #s(approx (/ x (+ ( y y) 1)) (/.f64 x (*.f64 y y))))
(.f64 #s(approx (/ x (+ ( y y) 1)) (/.f64 x (*.f64 y y))) (pow.f64 (fma.f64 y y #s(literal 1 binary64)) #s(literal 2 binary64)))
(.f64 (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (/.f64 (.f64 #s(approx (/ x (+ ( y y) 1)) (/.f64 x (*.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))))
(.f64 (.f64 #s(approx (/ x (+ (* y y) 1)) (/.f64 x (*.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
(.f64 (fma.f64 y y #s(literal 1 binary64)) (.f64 #s(approx (/ x (+ (* y y) 1)) (/.f64 x (*.f64 y y))) (fma.f64 y y #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(approx (/ x (+ ( y y) 1)) (/.f64 x (.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(approx (/ x (+ (* y y) 1)) (/.f64 x (.f64 y y)))) #s(literal 2 binary64))) (-.f64 (.f64 #s(approx (/ x (+ (* y y) 1)) (/.f64 x (.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) (.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(approx (/ x (+ (* y y) 1)) (/.f64 x (*.f64 y y))))))
(/.f64 (-.f64 (pow.f64 (.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(approx (/ x (+ ( y y) 1)) (/.f64 x (.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx (/ x (+ (* y y) 1)) (/.f64 x (.f64 y y))) (fma.f64 (neg.f64 y) y #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(approx (/ x (+ (* y y) 1)) (/.f64 x (.f64 y y)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 #s(approx (/ x (+ (* y y) 1)) (/.f64 x (.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(approx (/ x (+ ( y y) 1)) (/.f64 x (.f64 y y)))) (.f64 #s(approx (/ x (+ (* y y) 1)) (/.f64 x (*.f64 y y))) (fma.f64 (neg.f64 y) y #s(literal -1 binary64)))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(approx (/ x (+ ( y y) 1)) (/.f64 x (.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(approx (/ x (+ (* y y) 1)) (/.f64 x (.f64 y y)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 #s(approx (/ x (+ (* y y) 1)) (/.f64 x (.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(approx (/ x (+ (* y y) 1)) (/.f64 x (.f64 y y)))) #s(literal 2 binary64)) (.f64 (.f64 #s(approx (/ x (+ ( y y) 1)) (/.f64 x (.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) (.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(approx (/ x (+ (* y y) 1)) (/.f64 x (*.f64 y y))))))))
(/.f64 (neg.f64 (.f64 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (.f64 #s(approx (/ x (+ ( y y) 1)) (/.f64 x (*.f64 y y))) (fma.f64 y y #s(literal 1 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (.f64 #s(approx (/ x (+ (* y y) 1)) (/.f64 x (*.f64 y y))) (fma.f64 y y #s(literal 1 binary64))))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 #s(approx (/ x (+ (* y y) 1)) (/.f64 x (.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 (.f64 #s(approx (/ x (+ (* y y) 1)) (/.f64 x (*.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)))) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(approx (/ x (+ ( y y) 1)) (/.f64 x (.f64 y y)))) #s(literal 2 binary64)) (pow.f64 (.f64 #s(approx (/ x (+ (* y y) 1)) (/.f64 x (.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(approx (/ x (+ ( y y) 1)) (/.f64 x (.f64 y y))) (.f64 #s(approx (/ x (+ (* y y) 1)) (/.f64 x (*.f64 y y))) (fma.f64 (neg.f64 y) y #s(literal -1 binary64))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(approx (/ x (+ ( y y) 1)) (/.f64 x (.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (.f64 #s(approx (/ x (+ (* y y) 1)) (/.f64 x (.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(approx (/ x (+ (* y y) 1)) (/.f64 x (.f64 y y)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (.f64 #s(approx (/ x (+ (* y y) 1)) (/.f64 x (.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (fma.f64 y y (pow.f64 y #s(literal 4 binary64))) #s(approx (/ x (+ ( y y) 1)) (/.f64 x (.f64 y y)))) (.f64 #s(approx (/ x (+ (* y y) 1)) (/.f64 x (*.f64 y y))) (fma.f64 y y #s(literal 1 binary64))))))))
(/.f64 (.f64 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (.f64 #s(approx (/ x (+ ( y y) 1)) (/.f64 x (*.f64 y y))) (fma.f64 y y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64)) (.f64 #s(approx (/ x (+ (* y y) 1)) (/.f64 x (*.f64 y y))) (fma.f64 y y #s(literal 1 binary64)))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
(/.f64 (.f64 (.f64 #s(approx (/ x (+ (* y y) 1)) (/.f64 x (.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64)))) (fma.f64 y y #s(literal -1 binary64)))
(/.f64 (.f64 (.f64 #s(approx (/ x (+ (* y y) 1)) (/.f64 x (*.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) (-.f64 (pow.f64 y #s(literal 6 binary64)) #s(literal -1 binary64))) (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64)) (pow.f64 y #s(literal 4 binary64))))
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(+.f64 (.f64 #s(literal 1 binary64) (/.f64 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))) (.f64 (fma.f64 y y y) (/.f64 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))))))
(+.f64 (.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y)) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (.f64 (/.f64 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y y)) (.f64 (/.f64 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1 binary64)) (.f64 (/.f64 (expm1.f64 (.f64 (log.f64 y) #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y y y)))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))) (.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y #s(literal -1 binary64))))))
(+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) (-.f64 (pow.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 2 binary64))))
(+.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (+.f64 (expm1.f64 (*.f64 (log.f64 y) #s(literal 4 binary64))) (pow.f64 y #s(literal 8 binary64)))) (-.f64 #s(literal 1 binary64) y)) (/.f64 (/.f64 #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 #s(literal 1 binary64) y)))
(+.f64 (/.f64 (pow.f64 y #s(literal 12 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal -1 binary64) (.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) y))))
(+.f64 (/.f64 #s(literal -1 binary64) (.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) y))) (/.f64 (pow.f64 y #s(literal 12 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 y #s(literal 8 binary64)) #s(literal 1 binary64)) (pow.f64 y #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) y))))
(+.f64 (neg.f64 (fma.f64 y y (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (*.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (fma.f64 y y (pow.f64 y #s(literal 3 binary64)))))
(+.f64 (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (neg.f64 y) y)) (-.f64 y #s(literal 1 binary64)))
(+.f64 (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) y)))
(+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)))
(+.f64 (-.f64 y #s(literal 1 binary64)) (.f64 (-.f64 #s(literal 1 binary64) y) (.f64 (neg.f64 y) y)))
(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 y))))
(*.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 y))
(.f64 (sqrt.f64 (.f64 (neg.f64 y) y)) (sqrt.f64 (*.f64 (neg.f64 y) y)))
(*.f64 (sqrt.f64 (neg.f64 y)) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 (neg.f64 y)))
(*.f64 (sqrt.f64 (pow.f64 y #s(literal 3 binary64))) (sqrt.f64 y))
(*.f64 (sqrt.f64 y) (sqrt.f64 (pow.f64 y #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)))
(*.f64 (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64)))
(*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)))
(*.f64 (neg.f64 (neg.f64 y)) y)
(.f64 (.f64 (neg.f64 y) y) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 y) y))
(*.f64 (neg.f64 y) (neg.f64 (neg.f64 (neg.f64 y))))
(*.f64 (neg.f64 y) (neg.f64 y))
(.f64 (.f64 y y) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 y y))
(*.f64 y (neg.f64 (neg.f64 y)))
(*.f64 y y)
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64))
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal 2 binary64))
(pow.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (neg.f64 y) y) #s(literal 1 binary64))
(pow.f64 (neg.f64 y) #s(literal 2 binary64))
(pow.f64 (*.f64 y y) #s(literal 1 binary64))
(pow.f64 y #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 y) y))
(sqrt.f64 (pow.f64 y #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 y) y))
(fabs.f64 (*.f64 y y))
(exp.f64 (/.f64 (*.f64 #s(literal 4 binary64) (log.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 (neg.f64 y)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 y) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) y)
(*.f64 (neg.f64 y) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (neg.f64 y))
(*.f64 y #s(literal -1 binary64))
(neg.f64 y)

eval241.0ms (2.7%)

Memory: 13.3MiB live, 241.3MiB allocated
Compiler: Compiled 31 018 to 2 748 computations (91.1% saved)

prune22.0ms (0.2%)

Memory

18.0MiB live, 63.6MiB allocated

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	968	3	971
Fresh	0	0	0
Picked	2	1	3
Done	0	5	5
Total	970	9	979

Accuracy

100.0%

Counts

979 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	96.2%	(fma.f64 (*.f64 y y) x x)
	33.1%	(.f64 (/.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) y)) #s(approx (/ x (- y 1)) (/.f64 x y)))
	83.8%	(.f64 (/.f64 x (-.f64 y #s(literal 1 binary64))) (.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))
✓	24.3%	(.f64 (.f64 #s(approx (/ x (+ (* y y) 1)) (/.f64 x (*.f64 y y))) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))
	34.6%	(.f64 #s(approx (/ x (- y 1)) (/.f64 x y)) (.f64 (fma.f64 (neg.f64 y) y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)))
✓	67.9%	(.f64 x (/.f64 (fma.f64 (.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))))
✓	51.3%	(.f64 x #s(approx (+ 1 ( y y)) #s(literal 1 binary64)))
✓	49.2%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y y) x))
✓	52.9%	#s(approx (* x (+ 1 (* y y))) (.f64 (.f64 y x) y))

Compiler

Compiled 391 to 160 computations (59.1% saved)

regimes1.5s (17.5%)

Memory

-58.4MiB live, 42.0MiB allocated

Counts

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

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

Calls

5 calls:

1.5s	(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))
5.0ms	x
5.0ms	y
4.0ms	(*.f64 y y)
4.0ms	(+.f64 #s(literal 1 binary64) (*.f64 y y))

Results

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

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes8.0ms (0.1%)

Memory

15.4MiB live, 15.4MiB 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:

2.0ms	x
2.0ms	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
99.2%	2	`(*.f64 y y)`
99.2%	2	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
81.5%	2	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
55.3%	2	`x`
99.2%	2	`y`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

regimes5.0ms (0.1%)

Memory

14.7MiB live, 14.7MiB 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
51.3%	1	`x`
51.3%	1	`(.f64 x (+.f64 #s(literal 1 binary64) (.f64 y y)))`
51.3%	1	`(*.f64 y y)`
51.3%	1	`(+.f64 #s(literal 1 binary64) (*.f64 y y))`
51.3%	1	`y`

Compiler

Compiled 17 to 18 computations (-5.9% saved)

bsearch24.0ms (0.3%)

Memory

-163.7MiB live, 25.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
23.0ms	0.0822484073645374	11.874638991190182

Samples

19.0ms

112×

valid

Compiler

Compiled 164 to 144 computations (12.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-mult: 2.0ms (80.6% of total)

ival-add: 1.0ms (40.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify29.0ms (0.3%)

Memory

-19.2MiB live, 73.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	31	41
2	77	41
3	199	41
4	409	41
5	546	41
6	658	41
7	739	41
8	739	41

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y #s(literal 1 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 y #s(literal 1 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)))

soundness708.0ms (8%)

Memory

25.9MiB live, 458.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	82
0	33	75
1	138	70
2	804	70
0	9391	67
0	15	41
1	46	41
2	114	41
3	474	41
4	3126	41
0	8249	36
0	6	15
0	9	15
1	41	15
2	288	15
3	2484	15
0	8451	13

Stop Event

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

Compiler

Compiled 78 to 45 computations (42.3% saved)

preprocess35.0ms (0.4%)

Memory

8.7MiB live, 100.5MiB allocated

Remove

(negabs x)

(abs y)

Compiler

Compiled 134 to 70 computations (47.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	6	18
0	9	18
1	25	18
2	71	18
3	195	18
4	367	18
5	455	18
6	530	18
7	582	18
8	587	18
0	587	16

Iter	Nodes	Cost
0	6	18
0	9	18
1	25	18
2	71	18
3	195	18
4	367	18
5	455	18
6	530	18
7	582	18
8	587	18
0	587	16

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (14%)

explain100.0ms (1.1%)

preprocess50.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify48.0ms (0.5%)

localize186.0ms (2.1%)

series4.0ms (0%)

simplify687.0ms (7.8%)

rewrite177.0ms (2%)

eval43.0ms (0.5%)

prune7.0ms (0.1%)

simplify142.0ms (1.6%)

localize50.0ms (0.6%)

series33.0ms (0.4%)

simplify151.0ms (1.7%)

rewrite189.0ms (2.1%)

eval89.0ms (1%)

prune28.0ms (0.3%)

simplify216.0ms (2.4%)

localize202.0ms (2.3%)

series43.0ms (0.5%)

simplify227.0ms (2.6%)

rewrite291.0ms (3.3%)

eval442.0ms (5%)

prune61.0ms (0.7%)

simplify248.0ms (2.8%)

localize554.0ms (6.3%)

series165.0ms (1.9%)

simplify270.0ms (3.1%)

rewrite292.0ms (3.3%)

eval241.0ms (2.7%)

prune22.0ms (0.2%)

regimes1.5s (17.5%)

regimes8.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch24.0ms (0.3%)

simplify29.0ms (0.3%)

soundness708.0ms (8%)

preprocess35.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	6	18
0	9	18
1	25	18
2	71	18
3	195	18
4	367	18
5	455	18
6	530	18
7	582	18
8	587	18
0	587	16