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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

sample815.0ms (33.5%)

Memory

16.4MiB live, 1 102.9MiB allocated; 244ms collecting garbage

Samples

529.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 208.0ms

ival-mult: 113.0ms (54.3% of total)

ival-sub: 75.0ms (36% of total)

exact: 9.0ms (4.3% of total)

ival-true: 5.0ms (2.4% of total)

adjust: 3.0ms (1.4% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain74.0ms (3.1%)

Memory

3.4MiB live, 149.6MiB allocated; 25ms collecting garbage

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`-.f64`	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`	cancellation	1	0

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

22.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-mult: 7.0ms (67.7% of total)

ival-sub: 2.0ms (19.3% 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)

preprocess227.0ms (9.3%)

Memory

6.7MiB live, 244.5MiB allocated; 49ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	23	15
2	73	15
3	212	15
4	710	14
5	3488	14
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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.1MiB live, 1.1MiB 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)

series5.0ms (0.2%)

Memory

-38.3MiB live, 7.0MiB allocated; 6ms collecting garbage

Counts

6 → 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)
x
#s(literal 2 binary64)
#s(literal 1 binary64)

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((- (* (* x x) 2) 1) (* (* x x) 2) (* x x) x 2 1)
1.0ms	x	@	-inf	((- (* (* x x) 2) 1) (* (* x x) 2) (* x x) x 2 1)
1.0ms	x	@	0	((- (* (* x x) 2) 1) (* (* x x) 2) (* x x) x 2 1)

simplify210.0ms (8.6%)

Memory

28.2MiB live, 201.3MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	28
1	17	28
2	49	28
3	177	28
4	899	28
5	7159	28
0	8159	27

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 5

Calls

Call 1

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

rewrite51.0ms (2.1%)

Memory

38.4MiB live, 81.7MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	34	18
0	234	17

Stop Event

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

Counts

6 → 63

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 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 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 #s(literal 8 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.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 (fma.f64 #s(literal 8 binary64) (pow.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal -1 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 2 binary64)) #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))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 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 (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 3 binary64)) (+.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) (.f64 x x) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 2 binary64)))))
(-.f64 (.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))
(.f64 (.f64 #s(literal 2 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 2 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 2 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 2 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))
(.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))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) (*.f64 x x))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) (*.f64 x x))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) x (*.f64 x x))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.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))
(+.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 (.f64 x x) (.f64 x x))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(neg.f64 (*.f64 x (neg.f64 x)))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
x
#s(literal 2 binary64)
#s(literal 1 binary64)

eval37.0ms (1.5%)

Memory: -38.0MiB live, 23.0MiB allocated; 33ms collecting garbage
Compiler: Compiled 721 to 168 computations (76.7% saved)

prune3.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	67	2	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	2	70

Accuracy

100.0%

Counts

70 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))
▶	50.2%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Compiler

Compiled 15 to 13 computations (13.3% saved)

series2.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Counts

6 → 6

Calls

Call 1

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

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

Calls

3 calls:

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

simplify163.0ms (6.7%)

Memory

-11.9MiB live, 177.4MiB allocated; 38ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	20	28
2	52	28
3	197	28
4	959	28
5	5846	28
0	8186	27

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 5

Calls

Call 1

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

rewrite56.0ms (2.3%)

Memory

13.4MiB live, 101.4MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
0	13	21
1	59	20
0	362	20

Stop Event

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

Counts

6 → 45

Calls

Call 1

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

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

eval5.0ms (0.2%)

Memory: 21.4MiB live, 21.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 621 to 121 computations (80.5% saved)

prune4.0ms (0.2%)

Memory

-38.1MiB live, 8.2MiB allocated; 4ms collecting garbage

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	51	2	53

Accuracy

100.0%

Counts

53 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (+.f64 x x) x #s(literal -1 binary64))
✓	50.2%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Compiler

Compiled 15 to 12 computations (20% saved)

series2.0ms (0.1%)

Memory

7.5MiB live, 7.5MiB allocated; 0ms collecting garbage

Counts

4 → 6

Calls

Call 1

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

Outputs
-1
(- (* 2 (pow x 2)) 1)
(* 2 x)
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) x) -1) (+ x x) x -1)
1.0ms	x	@	inf	((+ (* (+ x x) x) -1) (+ x x) x -1)
0.0ms	x	@	0	((+ (* (+ x x) x) -1) (+ x x) x -1)

simplify180.0ms (7.4%)

Memory

-10.7MiB live, 242.5MiB allocated; 78ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	20	28
2	52	28
3	196	28
4	957	28
5	5858	28
0	8198	27

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 5

Calls

Call 1

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

rewrite52.0ms (2.1%)

Memory

-1.5MiB live, 91.2MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	11
0	7	11
1	33	10
0	270	9

Stop Event

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

Counts

4 → 37

Calls

Call 1

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

Outputs
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) #s(literal 1 binary64)) (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64))))
(fma.f64 #s(literal 2 binary64) (*.f64 x x) #s(literal -1 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 2 binary64) x) x #s(literal -1 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))
(fma.f64 x (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)) (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) x)) x))
(-.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 2 binary64) x)))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) x)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(literal 2 binary64) x)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) x))
(.f64 #s(literal 2 binary64) (.f64 x x))
(*.f64 #s(literal 2 binary64) x)
(.f64 (.f64 #s(literal 2 binary64) x) x)
(*.f64 x #s(literal 2 binary64))
(.f64 x (.f64 #s(literal 2 binary64) x))
(/.f64 (*.f64 #s(literal 0 binary64) x) #s(literal 0 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) x) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (.f64 x (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x #s(literal 0 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x #s(literal 0 binary64))))
(/.f64 #s(literal 0 binary64) #s(literal 0 binary64))
(/.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x #s(literal 0 binary64)))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 x x))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 x x))
(fma.f64 x x (*.f64 x x))
(-.f64 (/.f64 (.f64 x x) #s(literal 0 binary64)) (/.f64 (.f64 x x) #s(literal 0 binary64)))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 0 binary64))))
(+.f64 (.f64 x x) (.f64 x x))
(+.f64 x x)
x
#s(literal -1 binary64)

eval5.0ms (0.2%)

Memory: 11.4MiB live, 11.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 486 to 109 computations (77.6% saved)

prune2.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	43	3	46

Accuracy

100.0%

Counts

46 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 x x) x #s(literal -1 binary64))
▶	52.0%	(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))
✓	50.2%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Compiler

Compiled 19 to 16 computations (15.8% saved)

series1.0ms (0%)

Memory

2.6MiB live, 2.6MiB allocated; 0ms collecting garbage

Counts

4 → 6

Calls

Call 1

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

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

Calls

3 calls:

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

simplify172.0ms (7.1%)

Memory

19.6MiB live, 161.6MiB allocated; 22ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	20
1	23	20
2	49	20
3	99	20
4	438	20
5	2576	20
6	7040	20
0	8462	17

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 5

Calls

Call 1

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

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

rewrite63.0ms (2.6%)

Memory

-34.8MiB live, 56.1MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	7
0	6	7
1	23	7
0	179	7

Stop Event

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

Counts

4 → 17

Calls

Call 1

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

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

eval2.0ms (0.1%)

Memory: 4.0MiB live, 4.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 208 to 55 computations (73.6% saved)

prune2.0ms (0.1%)

Memory

4.6MiB live, 4.6MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	20	3	23

Accuracy

100.0%

Counts

23 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 (+.f64 x x) x #s(literal -1 binary64))
✓	50.2%	#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))
	4.5%	#s(approx (+ (* x 2) -1) (*.f64 #s(literal 2 binary64) x))

Compiler

Compiled 65 to 42 computations (35.4% saved)

regimes9.0ms (0.3%)

Memory

17.2MiB live, 17.2MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

regimes13.0ms (0.5%)

Memory

-35.3MiB live, 19.3MiB allocated; 12ms collecting garbage

Counts

3 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	(*.f64 x x)
1.0ms	x
1.0ms	(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))
1.0ms	(.f64 (.f64 x x) #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
52.0%	1	`(*.f64 x x)`
52.0%	1	`(.f64 (.f64 x x) #s(literal 2 binary64))`
52.0%	1	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
52.0%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes5.0ms (0.2%)

Memory

11.7MiB live, 11.7MiB allocated; 0ms collecting garbage

Counts

2 → 2

Calls

Call 1

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

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

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
53.2%	2	`(*.f64 x x)`
53.2%	2	`(.f64 (.f64 x x) #s(literal 2 binary64))`
53.2%	2	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
53.2%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes4.0ms (0.2%)

Memory

10.0MiB live, 10.0MiB 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
50.2%	1	`(*.f64 x x)`
50.2%	1	`(.f64 (.f64 x x) #s(literal 2 binary64))`
50.2%	1	`(-.f64 (.f64 (.f64 x x) #s(literal 2 binary64)) #s(literal 1 binary64))`
50.2%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch9.0ms (0.4%)

Memory

17.9MiB live, 17.9MiB allocated; 0ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
8.0ms	0.7062043373524043	20.04293246132413

Samples

4.0ms

112×

valid

Compiler

Compiled 136 to 136 computations (0% saved)

Precisions

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

ival-mult: 1.0ms (46.5% of total)

ival-sub: 0.0ms (0% 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)

simplify65.0ms (2.7%)

Memory

-17.2MiB live, 72.2MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	41
1	29	41
2	69	41
3	236	41
4	1207	41
5	5022	41

Stop Event

1×	node limit

Calls

Call 1

Inputs
(fma.f64 (+.f64 x x) x #s(literal -1 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))
(if (<=.f64 x #s(literal 3242591731706757/4503599627370496 binary64)) #s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)) #s(approx (+ (* x 2) -1) (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

Outputs
(fma.f64 (+.f64 x x) x #s(literal -1 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal -1 binary64))
(if (<=.f64 x #s(literal 3242591731706757/4503599627370496 binary64)) #s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64)) #s(approx (+ (* x 2) -1) (*.f64 #s(literal 2 binary64) x)))
#s(approx (- (* (* x x) 2) 1) #s(literal -1 binary64))

derivations162.0ms (6.7%)

Memory

-35.3MiB live, 91.3MiB allocated; 127ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 41 to 20 computations (51.2% saved)

preprocess31.0ms (1.3%)

Memory: -5.2MiB live, 45.7MiB allocated; 17ms collecting garbage
Remove: (abs x)
Compiler: Compiled 108 to 60 computations (44.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample815.0ms (33.5%)

explain74.0ms (3.1%)

preprocess227.0ms (9.3%)

eval0.0ms (0%)

prune0.0ms (0%)

series5.0ms (0.2%)

simplify210.0ms (8.6%)

rewrite51.0ms (2.1%)

eval37.0ms (1.5%)

prune3.0ms (0.1%)

series2.0ms (0.1%)

simplify163.0ms (6.7%)

rewrite56.0ms (2.3%)

eval5.0ms (0.2%)

prune4.0ms (0.2%)

series2.0ms (0.1%)

simplify180.0ms (7.4%)

rewrite52.0ms (2.1%)

eval5.0ms (0.2%)

prune2.0ms (0.1%)

series1.0ms (0%)

simplify172.0ms (7.1%)

rewrite63.0ms (2.6%)

eval2.0ms (0.1%)

prune2.0ms (0.1%)

regimes9.0ms (0.3%)

regimes13.0ms (0.5%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

bsearch9.0ms (0.4%)

simplify65.0ms (2.7%)

derivations162.0ms (6.7%)

preprocess31.0ms (1.3%)

end0.0ms (0%)

Profiling