Metrics for Numeric.SpecFunctions:logGammaCorrection from math-functions-0.1.5.2

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample845.0ms (30.1%)

Memory

-109.8MiB live, 853.0MiB allocated

Samples

477.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 223.0ms

ival-mult: 167.0ms (74.9% of total)

ival-sub: 40.0ms (17.9% of total)

exact: 8.0ms (3.6% of total)

ival-true: 6.0ms (2.7% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain105.0ms (3.7%)

Memory

-17.9MiB live, 176.8MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`#s(literal 1 binary64)`
-	-	`(.f64 (.f64 x x) #s(literal 2 binary64))`
-	-	`(*.f64 x x)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

38.0ms

512×

valid

Compiler

Compiled 83 to 38 computations (54.2% saved)

Precisions

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

ival-mult: 7.0ms (66.8% of total)

ival-sub: 2.0ms (19.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess15.0ms (0.5%)

Memory

26.4MiB live, 26.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	25	15
2	72	14
3	178	14
4	255	14
5	280	14
6	284	14
0	6	7
0	9	7
1	17	7
2	21	7
0	21	6

Stop Event

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

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Outputs
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64))

Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 2 binary64))
cost-diff	128	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	17	18
2	21	18
0	21	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
#s(literal 1 binary64)

Outputs
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64))
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal 2 binary64)
#s(literal 1 binary64)

localize39.0ms (1.4%)

Memory

-9.1MiB live, 28.8MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(.f64 (.f64 x x) #s(literal 2 binary64))

Samples

33.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 7.0ms (79.5% of total)

ival-sub: 1.0ms (11.4% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

3 → 5

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((- (* (* x x) 2) 1) (* (* x x) 2) (* x x))
1.0ms	x	@	-inf	((- (* (* x x) 2) 1) (* (* x x) 2) (* x x))
1.0ms	x	@	0	((- (* (* x x) 2) 1) (* (* x x) 2) (* x x))

simplify101.0ms (3.6%)

Memory

-10.6MiB live, 114.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	19	23
2	40	23
3	85	23
4	201	23
5	342	23
6	841	23
7	2251	23
8	3167	23
9	5488	23
0	8268	21

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 5

Calls

Call 1

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

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

rewrite191.0ms (6.8%)

Memory

-4.7MiB live, 274.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	31	15
2	173	15
3	1563	15
0	8539	14

Stop Event

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

Counts

3 → 244

Calls

Call 1

Inputs
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)

Outputs
(.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 18 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))
(.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 18 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -2 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64)))))
(.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 8 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))))
(.f64 (-.f64 (.f64 (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -2 binary64)) (/.f64 (.f64 (/.f64 #s(literal -4 binary64) (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64)))))))
(.f64 (-.f64 (pow.f64 (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64)) (+.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64)) (/.f64 (/.f64 (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64)))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64))))))))
(.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 2 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64))) (-.f64 (fma.f64 (.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))))
(.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 (*.f64 x x) #s(literal -2 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 18 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 18 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))))
(.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(.f64 (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))))
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(.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (.f64 x x))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) x))) x)
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x)
(.f64 (.f64 #s(literal 2 binary64) x) x)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (*.f64 x x)))
(.f64 (.f64 #s(literal 2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(.f64 #s(literal 2 binary64) (.f64 x x))
(.f64 (.f64 x x) (exp.f64 (log.f64 #s(literal 2 binary64))))
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) x))))
(.f64 x (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(.f64 x (.f64 #s(literal 2 binary64) x))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 x x))))
(/.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval26.0ms (0.9%)

Memory: 24.7MiB live, 63.2MiB allocated
Compiler: Compiled 7 077 to 646 computations (90.9% saved)

prune31.0ms (1.1%)

Memory

-25.7MiB live, 12.2MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	246	2	248
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	247	2	249

Accuracy

100.0%

Counts

249 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
▶	50.3%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify3.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	22
0	13	21
1	20	21
2	23	21
0	23	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
#s(literal -1 binary64)

Outputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
#s(literal -1 binary64)
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)
#s(literal -1 binary64)

localize18.0ms (0.7%)

Memory

18.7MiB live, 18.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
accuracy	0	(*.f64 x x)
accuracy	31.799896973344445	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Samples

12.0ms

256×

valid

Compiler

Compiled 45 to 21 computations (53.3% saved)

Precisions

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

ival-mult: 3.0ms (48.1% of total)

ival-sub: 1.0ms (16% of total)

ival-add: 1.0ms (16% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Counts

3 → 5

Calls

Call 1

Inputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(*.f64 x x)

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

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	((- (* (* x x) 2) 1) (+ (* (* x x) 2) -1) (* x x))
0.0ms	x	@	-inf	((- (* (* x x) 2) 1) (+ (* (* x x) 2) -1) (* x x))
0.0ms	x	@	0	((- (* (* x x) 2) 1) (+ (* (* x x) 2) -1) (* x x))

simplify114.0ms (4.1%)

Memory

-5.5MiB live, 74.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	19	23
2	40	23
3	85	23
4	201	23
5	343	23
6	842	23
7	2286	23
8	3198	23
9	5526	23
0	8309	21

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 5

Calls

Call 1

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

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

rewrite309.0ms (11%)

Memory

-17.9MiB live, 258.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	18
0	13	17
1	43	17
2	247	17
3	2354	17
0	9295	17

Stop Event

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

Counts

3 → 251

Calls

Call 1

Inputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(*.f64 x x)

Outputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
(.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal -512 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 64 binary64) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 64 binary64) #s(literal -1 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 64 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) (-.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))))
(.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64))) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64))) (.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)) (.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(/.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 64 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)))))))
(/.f64 (fma.f64 #s(literal 512 binary64) (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (neg.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (-.f64 (.f64 (neg.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64))) (neg.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))))) (neg.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))))
(/.f64 (neg.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 64 binary64) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)))))
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(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal -512 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal -3 binary64)) (+.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(literal 2 binary64)) (+.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal -2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))))))
(-.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))) (/.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal -512 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 64 binary64) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 64 binary64) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 64 binary64)) (.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 64 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 64 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal -512 binary64)) (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 64 binary64) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 64 binary64) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64))) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))) (neg.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 64 binary64)) (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64)))) (neg.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))) (/.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 16 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64)))))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (neg.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)))) (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal -1 binary64)) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)))) (.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))))))
(-.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal -1 binary64))))
(-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)))) (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64)))) (neg.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (.f64 x x) #s(literal 1 binary64))))) (neg.f64 (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64) (fma.f64 #s(literal -2 binary64) (*.f64 x x) #s(literal 1 binary64))) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal -2 binary64) (.f64 x x)) #s(literal -1 binary64))
(+.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal -2 binary64) (.f64 x x)))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 x (pow.f64 (.f64 x #s(literal 1 binary64)) #s(literal 1 binary64)))
(.f64 x (.f64 x #s(literal 1 binary64)))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval45.0ms (1.6%)

Memory: 10.9MiB live, 56.0MiB allocated
Compiler: Compiled 6 376 to 643 computations (89.9% saved)

prune4.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	253	1	254
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	253	3	256

Accuracy

100.0%

Counts

256 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
▶	50.9%	#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))
✓	50.3%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Compiler

Compiled 28 to 23 computations (17.9% saved)

simplify3.0ms (0.1%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
0	11	23
1	19	23
2	23	23
0	23	22

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)

Outputs
#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)
x
#s(literal 2 binary64)

localize36.0ms (1.3%)

Memory

-8.6MiB live, 29.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(.f64 (.f64 x x) #s(literal 2 binary64))
accuracy	31.436758569925697	#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))

Samples

31.0ms

256×

valid

Compiler

Compiled 42 to 18 computations (57.1% saved)

Precisions

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

ival-sub: 21.0ms (83.1% of total)

ival-mult: 3.0ms (11.9% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB allocated

Counts

3 → 5

Calls

Call 1

Inputs
#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- (* (* x x) 2) 1) (* (* x x) 2) (* x x))
1.0ms	x	@	inf	((- (* (* x x) 2) 1) (* (* x x) 2) (* x x))
0.0ms	x	@	0	((- (* (* x x) 2) 1) (* (* x x) 2) (* x x))

simplify102.0ms (3.6%)

Memory

-14.3MiB live, 104.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	19	23
2	40	23
3	85	23
4	201	23
5	343	23
6	842	23
7	2286	23
8	3198	23
9	5526	23
0	8309	21

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 5

Calls

Call 1

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

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

rewrite215.0ms (7.6%)

Memory

12.7MiB live, 236.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
0	11	21
1	33	21
2	175	21
3	1560	21
0	8538	20

Stop Event

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

Counts

3 → 31

Calls

Call 1

Inputs
#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 (.f64 x x) #s(literal 2 binary64))
(*.f64 x x)

Outputs
#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (.f64 x x))
(.f64 (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) x))) x)
(.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) x)
(.f64 (.f64 #s(literal 2 binary64) x) x)
(.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(.f64 (.f64 x x) (exp.f64 (log.f64 #s(literal 2 binary64))))
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x x))
(.f64 x (exp.f64 (log.f64 (.f64 #s(literal 2 binary64) x))))
(.f64 x (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(.f64 x (.f64 #s(literal 2 binary64) x))
(pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal -2 binary64)) #s(literal -1 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))))
(exp.f64 (*.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (log.f64 #s(literal 2 binary64))))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 x x))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(/.f64 (neg.f64 (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (*.f64 x x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval4.0ms (0.1%)

Memory: 10.0MiB live, 10.0MiB allocated
Compiler: Compiled 527 to 105 computations (80.1% saved)

prune3.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	35	3	38

Accuracy

100.0%

Counts

38 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
✓	50.9%	#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))
✓	50.3%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes17.0ms (0.6%)

Memory

-23.0MiB live, 15.0MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Outputs
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))

Calls

4 calls:

2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(.f64 (.f64 x x) #s(literal 2 binary64))
2.0ms	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
100.0%	1	`(.f64 (.f64 x x) #s(literal 2 binary64))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes6.0ms (0.2%)

Memory

11.9MiB live, 11.9MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))

Outputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))

Calls

4 calls:

2.0ms	x
1.0ms	(.f64 (.f64 x x) #s(literal 2 binary64))
1.0ms	(*.f64 x x)
1.0ms	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
99.4%	2	`x`
99.4%	2	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
99.4%	2	`(.f64 (.f64 x x) #s(literal 2 binary64))`
99.4%	2	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes5.0ms (0.2%)

Memory

13.9MiB live, 13.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Outputs
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Calls

4 calls:

1.0ms	x
1.0ms	(.f64 (.f64 x x) #s(literal 2 binary64))
1.0ms	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
50.3%	1	`x`
50.3%	1	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
50.3%	1	`(.f64 (.f64 x x) #s(literal 2 binary64))`
50.3%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch78.0ms (2.8%)

Memory

-28.0MiB live, 67.5MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
76.0ms	9.021777837937796e-7	24168839782895.625

Samples

70.0ms

176×

valid

Compiler

Compiled 230 to 219 computations (4.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-sub: 35.0ms (94.9% of total)

ival-mult: 1.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

simplify25.0ms (0.9%)

Memory

8.2MiB live, 45.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	43
1	19	43

Stop Event

1×

saturated

Calls

Call 1

Inputs

(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))

(if (<=.f64 (*.f64 x x) #s(literal 1/2 binary64)) #s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)) #s(approx (- (* (* x x) 2) 1) (*.f64 (*.f64 x x) #s(literal 2 binary64))))

#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Outputs
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(if (<=.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(approx (- ( (* x x) 2) 1) #s(literal -1 binary64)) #s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64))))
(if (<=.f64 (.f64 x x) #s(literal 1/2 binary64)) #s(approx (- ( (* x x) 2) 1) #s(literal -1 binary64)) #s(approx (- (* (* x x) 2) 1) (.f64 #s(literal 2 binary64) (.f64 x x))))
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

soundness437.0ms (15.6%)

Memory

5.4MiB live, 287.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	19	23
2	40	23
3	85	23
4	201	23
5	342	23
6	841	23
7	2251	23
8	3167	23
9	5488	23
0	8268	21
0	6	15
0	9	15
1	31	15
2	173	15
3	1563	15
0	8539	14
0	10	23
1	19	23
2	40	23
3	85	23
4	201	23
5	343	23
6	842	23
7	2286	23
8	3198	23
9	5526	23
0	8309	21

Stop Event

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

Compiler

Compiled 64 to 34 computations (46.9% saved)

preprocess22.0ms (0.8%)

Memory: 3.0MiB live, 40.5MiB allocated
Remove: (abs x)
Compiler: Compiled 112 to 54 computations (51.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample845.0ms (30.1%)

explain105.0ms (3.7%)

preprocess15.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize39.0ms (1.4%)

series2.0ms (0.1%)

simplify101.0ms (3.6%)

rewrite191.0ms (6.8%)

eval26.0ms (0.9%)

prune31.0ms (1.1%)

simplify3.0ms (0.1%)

localize18.0ms (0.7%)

series1.0ms (0%)

simplify114.0ms (4.1%)

rewrite309.0ms (11%)

eval45.0ms (1.6%)

prune4.0ms (0.1%)

simplify3.0ms (0.1%)

localize36.0ms (1.3%)

series2.0ms (0.1%)

simplify102.0ms (3.6%)

rewrite215.0ms (7.6%)

eval4.0ms (0.1%)

prune3.0ms (0.1%)

regimes17.0ms (0.6%)

regimes6.0ms (0.2%)

regimes5.0ms (0.2%)

bsearch78.0ms (2.8%)

simplify25.0ms (0.9%)

soundness437.0ms (15.6%)

preprocess22.0ms (0.8%)

end0.0ms (0%)

Profiling