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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated; 0ms collecting garbage

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)

sample771.0ms (32.5%)

Memory

17.1MiB live, 1 103.9MiB allocated; 185ms collecting garbage

Samples

506.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 286.0ms

ival-mult: 141.0ms (49.3% of total)

ival-sub: 127.0ms (44.4% of total)

exact: 8.0ms (2.8% of total)

ival-true: 5.0ms (1.7% of total)

ival-assert: 3.0ms (1% of total)

adjust: 2.0ms (0.7% of total)

Bogosity

explain136.0ms (5.7%)

Memory

29.9MiB live, 172.7MiB allocated; 80ms collecting garbage

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

23.0ms

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 (64.8% of total)

ival-sub: 3.0ms (27.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess205.0ms (8.6%)

Memory

-9.9MiB live, 215.4MiB allocated; 74ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	29	22
2	83	22
3	237	22
4	757	21
5	3878	21
0	6	7
0	9	7
1	19	7
2	56	7
3	202	7
4	660	7
5	4036	7
0	8535	6

Stop Event

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

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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.8MiB live, 0.9MiB allocated; 0ms collecting garbage

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)

simplify188.0ms (7.9%)

Memory

-1.5MiB live, 144.0MiB allocated; 39ms collecting garbage

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	1	(-.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	19	18
2	56	18
3	202	18
4	660	18
5	4036	18
0	8535	17

Stop Event

1×	iter limit
1×	node limit
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)

localize22.0ms (0.9%)

Memory

-3.9MiB live, 40.4MiB allocated; 11ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(.f64 (.f64 x x) #s(literal 2 binary64))

Samples

17.0ms

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 (56.4% of total)

ival-sub: 1.0ms (18.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

6.6MiB live, 6.7MiB allocated; 0ms collecting garbage

Counts

3 → 6

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
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 -1))
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (- (* 2 (pow x 2)) 1)))
#s(approx (* (* x x) 2) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* (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))

simplify175.0ms (7.4%)

Memory

10.6MiB live, 202.6MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	74
1	34	74
2	106	74
3	344	74
4	1299	74
5	7036	74
0	8079	69

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 6

Calls

Call 1

Inputs
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 -1))
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (- (* 2 (pow x 2)) 1)))
#s(approx (* (* x x) 2) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2))))))

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

rewrite151.0ms (6.3%)

Memory

-47.3MiB live, 138.4MiB allocated; 113ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	105	15
0	1256	14

Stop Event

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

Counts

3 → 119

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 (fma.f64 (sqrt.f64 #s(literal 2 binary64)) x #s(literal 1 binary64)) (-.f64 (hypot.f64 x x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sinh.f64 (acosh.f64 (hypot.f64 x x)))) (neg.f64 (sinh.f64 (acosh.f64 (hypot.f64 x x)))))
(*.f64 (sinh.f64 (acosh.f64 (hypot.f64 x x))) (sinh.f64 (acosh.f64 (hypot.f64 x x))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64))))
(.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64))) #s(literal 2 binary64)))
(pow.f64 (sinh.f64 (acosh.f64 (hypot.f64 x x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (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 (neg.f64 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 8 binary64) #s(literal -1 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)))))
(/.f64 (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 (fma.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 8 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))))
(fma.f64 (*.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 #s(literal 4 binary64))) (cbrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (.f64 (hypot.f64 x x) #s(literal 1 binary64)) (.f64 (hypot.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (neg.f64 (hypot.f64 x x)) (neg.f64 (hypot.f64 x x)) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))
(fma.f64 (hypot.f64 x x) (*.f64 (hypot.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (hypot.f64 x x) (hypot.f64 x x) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (cbrt.f64 (.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) (cbrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 #s(literal 4 binary64)) (.f64 (cbrt.f64 #s(literal 2 binary64)) (.f64 x x)) #s(literal -1 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(fma.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (.f64 (.f64 x x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 x (.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)) #s(literal -1 binary64))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(expm1.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(expm1.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(expm1.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64)) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (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 4 binary64)) #s(literal 4 binary64)) (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(-.f64 (/.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #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 #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 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64))
(exp.f64 (.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal -1 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64))))
(+.f64 (cosh.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal -1 binary64)))) (sinh.f64 (log.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal -1 binary64)))))
(+.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal -1 binary64))
(log.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64))))
(.f64 (.f64 #s(literal 2 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 x x) (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 x x) (cbrt.f64 #s(literal 4 binary64))) (cbrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (hypot.f64 x x) #s(literal 1 binary64)) (*.f64 (hypot.f64 x x) #s(literal 1 binary64)))
(*.f64 (neg.f64 (hypot.f64 x x)) (neg.f64 (hypot.f64 x x)))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(.f64 (hypot.f64 x x) (.f64 (hypot.f64 x x) #s(literal 1 binary64)))
(*.f64 (hypot.f64 x x) (hypot.f64 x x))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 (sqrt.f64 #s(literal 2 binary64)) (*.f64 x x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (*.f64 #s(literal 2 binary64) x)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (*.f64 x x))) #s(literal 1 binary64)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))) (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))))
(.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) (cbrt.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))))
(.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) (*.f64 #s(literal 2 binary64) x)))
(.f64 (cbrt.f64 #s(literal 4 binary64)) (.f64 (cbrt.f64 #s(literal 2 binary64)) (*.f64 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 (*.f64 x x) #s(literal 1 binary64)))
(.f64 #s(literal 2 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 x (.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64)))
(.f64 x (.f64 #s(literal 2 binary64) x))
(pow.f64 (hypot.f64 x x) #s(literal 2 binary64))
(pow.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 2 binary64) (.f64 x x))) #s(literal 3 binary64))
(pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x) (.f64 x x))
(fma.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x) (.f64 x x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x) (.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) x) (.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (*.f64 x x))
(fma.f64 #s(literal 1 binary64) (.f64 x x) (.f64 #s(literal 1 binary64) (*.f64 x x)))
(fma.f64 (.f64 x x) #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 x x (*.f64 x x))
(cbrt.f64 (.f64 (.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 1 binary64)))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 8 binary64)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)))
(exp.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 0 binary64)))
(exp.f64 (*.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) (.f64 #s(literal 1 binary64) (.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 1 binary64)) (.f64 (.f64 x x) #s(literal 1 binary64)))
(+.f64 (cosh.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))) (sinh.f64 (fma.f64 #s(literal 2 binary64) (log.f64 x) (log.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 x x) (.f64 x x))
(log.f64 (pow.f64 (E.f64) (.f64 #s(literal 2 binary64) (.f64 x x))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) #s(literal 2 binary64)))
(.f64 (.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(*.f64 x x)
(pow.f64 (pow.f64 x (sqrt.f64 #s(literal 2 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 x (cbrt.f64 #s(literal 4 binary64))) (cbrt.f64 #s(literal 2 binary64)))
(pow.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x x) #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 x x))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(log.f64 (pow.f64 (exp.f64 x) x))

eval20.0ms (0.8%)

Memory: -18.0MiB live, 34.4MiB allocated; 13ms collecting garbage
Compiler: Compiled 1 389 to 314 computations (77.4% saved)

prune3.0ms (0.1%)

Memory

9.8MiB live, 9.8MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	122	3	125
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	123	3	126

Accuracy

100.0%

Counts

126 → 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))
▶	46.8%	#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))
▶	53.6%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Compiler

Compiled 28 to 23 computations (17.9% saved)

simplify159.0ms (6.7%)

Memory

3.1MiB live, 142.2MiB allocated; 28ms collecting garbage

Localize:

Found 6 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	(*.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)))
cost-diff	0	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	45
0	15	45
1	26	45
2	72	45
3	272	43
4	847	43
5	3833	43
0	8180	43

Stop Event

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

Calls

Call 1

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

localize34.0ms (1.4%)

Memory

-8.6MiB live, 34.4MiB allocated; 11ms collecting garbage

Localize:

Found 6 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 x x)
accuracy	0.00390625	(.f64 (.f64 x x) #s(literal 2 binary64))
accuracy	34.07168180447763	#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))
accuracy	29.665937498072328	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Samples

14.0ms

256×

valid

Compiler

Compiled 40 to 10 computations (75% saved)

Precisions

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

ival-mult: 4.0ms (57.7% of total)

ival-sub: 1.0ms (14.4% of total)

ival-add: 1.0ms (14.4% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

4.0MiB live, 4.0MiB allocated; 0ms collecting garbage

Counts

5 → 10

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

Outputs
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 -1))
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (- (* 2 (pow x 2)) 1)))
#s(approx (* (* x x) 2) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* x x) 2) -1) #s(hole binary64 -1))
#s(approx (+ (* (* x x) 2) -1) #s(hole binary64 (- (* 2 (pow x 2)) 1)))
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 2) -1) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ (* (* x x) 2) -1) #s(hole binary64 (* (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) 1) (* (* x x) 2) (* x x) (+ (* (* x x) 2) -1))
1.0ms	x	@	-inf	((- (* (* x x) 2) 1) (- (* (* x x) 2) 1) (* (* x x) 2) (* x x) (+ (* (* x x) 2) -1))
0.0ms	x	@	0	((- (* (* x x) 2) 1) (- (* (* x x) 2) 1) (* (* x x) 2) (* x x) (+ (* (* x x) 2) -1))

Time

Variable

Point

Expression

1.0ms

inf

((- (* (* x x) 2) 1) (- (* (* x x) 2) 1) (* (* x x) 2) (* x x) (+ (* (* x x) 2) -1))

1.0ms

-inf

((- (* (* x x) 2) 1) (- (* (* x x) 2) 1) (* (* x x) 2) (* x x) (+ (* (* x x) 2) -1))

0.0ms

((- (* (* x x) 2) 1) (- (* (* x x) 2) 1) (* (* x x) 2) (* x x) (+ (* (* x x) 2) -1))

simplify190.0ms (8%)

Memory

25.7MiB live, 212.7MiB allocated; 40ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	130
1	43	130
2	128	130
3	437	130
4	1522	130
5	7500	130
0	8487	120

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 10

Calls

Call 1

Inputs
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 -1))
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (- (* 2 (pow x 2)) 1)))
#s(approx (* (* x x) 2) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (* x x) 2) -1) #s(hole binary64 -1))
#s(approx (+ (* (* x x) 2) -1) #s(hole binary64 (- (* 2 (pow x 2)) 1)))
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (- (* (* x x) 2) 1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2))))))
#s(approx (+ (* (* x x) 2) -1) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (+ (* (* x x) 2) -1) #s(hole binary64 (* (pow x 2) (- 2 (/ 1 (pow x 2))))))

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

rewrite28.0ms (1.2%)

Memory

-26.6MiB live, 66.4MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36
0	15	36
0	172	36

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Counts

5 → 48

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

Outputs
(.f64 (sqrt.f64 #s(approx (- ( (* x x) 2) 1) #s(literal -1 binary64))) (sqrt.f64 #s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))))
(.f64 (.f64 (cbrt.f64 #s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))) (cbrt.f64 #s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)))) (cbrt.f64 #s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))))
(pow.f64 #s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)) #s(literal 1 binary64))
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
(cbrt.f64 (.f64 (.f64 #s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)) #s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))) #s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))))
(exp.f64 (log.f64 #s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))))
(log.f64 (exp.f64 #s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))))
(.f64 (sqrt.f64 #s(approx (- ( (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))) (sqrt.f64 #s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))))
(.f64 (.f64 (cbrt.f64 #s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))) (cbrt.f64 #s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64))))) (cbrt.f64 #s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))))
(pow.f64 #s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64))) #s(literal 1 binary64))
#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))
(cbrt.f64 (.f64 (.f64 #s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64))) #s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))) #s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))))
(exp.f64 (log.f64 #s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))))
(log.f64 (exp.f64 #s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (.f64 (*.f64 x x) #s(literal 2 binary64))))
(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64))) (cbrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))) (cbrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64))))
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 #s(literal 2 binary64) (.f64 x x))
(.f64 x (.f64 x #s(literal 2 binary64)))
(pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
(cbrt.f64 (.f64 (.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (.f64 x x) #s(literal 2 binary64))) (.f64 (.f64 x x) #s(literal 2 binary64))))
(exp.f64 (log.f64 (.f64 (.f64 x x) #s(literal 2 binary64))))
(log.f64 (exp.f64 (.f64 (.f64 x x) #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(.f64 (sqrt.f64 (.f64 x x)) (sqrt.f64 (*.f64 x x)))
(.f64 (.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (.f64 x x))) (cbrt.f64 (*.f64 x x)))
(*.f64 x x)
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(cbrt.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) (*.f64 x x)))
(exp.f64 (log.f64 (*.f64 x x)))
(log.f64 (exp.f64 (*.f64 x x)))
(.f64 (sqrt.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))) (sqrt.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))))
(.f64 (.f64 (cbrt.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))) (cbrt.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64)))) (cbrt.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))))
(pow.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.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 (pow.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) (.f64 (.f64 x x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (.f64 (.f64 (*.f64 x x) #s(literal 2 binary64)) #s(literal -1 binary64)))))
(fma.f64 (sqrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64))) (sqrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.f64 (.f64 (cbrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64))) (cbrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))) (cbrt.f64 (.f64 (*.f64 x x) #s(literal 2 binary64))) #s(literal -1 binary64))
(fma.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))
(fma.f64 x (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(cbrt.f64 (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64)) (fma.f64 (.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))))
(exp.f64 (log.f64 (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))
(+.f64 #s(literal -1 binary64) (.f64 (.f64 x x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (*.f64 x x) #s(literal 2 binary64) #s(literal -1 binary64))))

eval9.0ms (0.4%)

Memory: 33.2MiB live, 33.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 021 to 156 computations (84.7% saved)

prune28.0ms (1.2%)

Memory

-39.5MiB live, 13.5MiB allocated; 9ms collecting garbage

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	65	3	68

Accuracy

100.0%

Counts

68 → 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))
✓	46.8%	#s(approx (- (* (* x x) 2) 1) (.f64 (.f64 x x) #s(literal 2 binary64)))
✓	53.6%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Compiler

Compiled 63 to 38 computations (39.7% saved)

regimes9.0ms (0.4%)

Memory

34.1MiB live, 34.1MiB allocated; 0ms collecting garbage

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:

4.0ms	x
2.0ms	(.f64 (.f64 x x) #s(literal 2 binary64))
2.0ms	(*.f64 x x)
1.0ms	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Results

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes26.0ms (1.1%)

Memory

-21.0MiB live, 23.1MiB allocated; 5ms collecting garbage

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:

22.0ms	(.f64 (.f64 x x) #s(literal 2 binary64))
1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))

Results

Accuracy	Segments	Branch
98.6%	2	`(*.f64 x x)`
98.6%	2	`(.f64 (.f64 x x) #s(literal 2 binary64))`
98.6%	2	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
98.6%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes4.0ms (0.2%)

Memory

18.9MiB live, 18.9MiB allocated; 0ms collecting garbage

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

Results

Accuracy	Segments	Branch
53.6%	1	`(*.f64 x x)`
53.6%	1	`(.f64 (.f64 x x) #s(literal 2 binary64))`
53.6%	1	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
53.6%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch14.0ms (0.6%)

Memory

-10.8MiB live, 34.7MiB allocated; 4ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.6242984392147577	403.24994067973626

Samples

5.0ms

128×

valid

Compiler

Compiled 186 to 170 computations (8.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-mult: 2.0ms (76.1% of total)

ival-sub: 1.0ms (38% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify50.0ms (2.1%)

Memory

19.6MiB live, 65.3MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	55	41
2	100	41
3	291	41
4	1250	41
5	5066	41

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

(if (<=.f64 x #s(literal 3152519739159347/4503599627370496 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 x #s(literal 3152519739159347/4503599627370496 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))

derivations111.0ms (4.7%)

Memory

-24.0MiB live, 82.7MiB allocated; 20ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 41 to 16 computations (61% saved)

preprocess35.0ms (1.5%)

Memory: -13.7MiB live, 31.8MiB allocated; 5ms collecting garbage
Remove: (abs x)
Compiler: Compiled 108 to 54 computations (50% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample771.0ms (32.5%)

explain136.0ms (5.7%)

preprocess205.0ms (8.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify188.0ms (7.9%)

localize22.0ms (0.9%)

series2.0ms (0.1%)

simplify175.0ms (7.4%)

rewrite151.0ms (6.3%)

eval20.0ms (0.8%)

prune3.0ms (0.1%)

simplify159.0ms (6.7%)

localize34.0ms (1.4%)

series2.0ms (0.1%)

simplify190.0ms (8%)

rewrite28.0ms (1.2%)

eval9.0ms (0.4%)

prune28.0ms (1.2%)

regimes9.0ms (0.4%)

regimes26.0ms (1.1%)

regimes4.0ms (0.2%)

bsearch14.0ms (0.6%)

simplify50.0ms (2.1%)

derivations111.0ms (4.7%)

preprocess35.0ms (1.5%)

end0.0ms (0%)

Profiling