Metrics for Data.Spline.Key:interpolateKeys from smoothie-0.4.0.2

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.7MiB 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 11 to 9 computations (18.2% saved)

sample1.2s (15.3%)

Memory

37.7MiB live, 1 155.9MiB allocated; 288ms collecting garbage

Samples

871.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 411.0ms

ival-mult: 225.0ms (54.7% of total)

ival-sub: 165.0ms (40.1% of total)

ival-true: 8.0ms (1.9% of total)

exact: 8.0ms (1.9% of total)

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

adjust: 2.0ms (0.5% of total)

Bogosity

explain151.0ms (1.9%)

Memory

-29.9MiB live, 164.8MiB allocated; 77ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))`
-	-	`(*.f64 x #s(literal 2 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 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

32.0ms

512×

valid

Compiler

Compiled 59 to 25 computations (57.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 10.0ms (70.9% of total)

ival-sub: 3.0ms (21.3% of total)

exact: 1.0ms (7.1% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess220.0ms (2.8%)

Memory

23.0MiB live, 205.8MiB allocated; 41ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	33	18
2	145	18
3	441	18
4	1141	18
5	2913	18
6	5559	18
0	7	9
0	11	9
1	23	9
2	80	9
3	290	9
4	778	9
5	2475	9
6	5041	9
0	8046	8

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Outputs
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)

Compiler

Compiled 9 to 7 computations (22.2% 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

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify148.0ms (1.9%)

Memory

-21.1MiB live, 171.9MiB allocated; 32ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x #s(literal 2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
cost-diff	1	(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	23	23
2	80	23
3	290	23
4	778	23
5	2475	23
6	5041	23
0	8046	21

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
#s(literal 3 binary64)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)

Outputs
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal 3 binary64)
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

localize18.0ms (0.2%)

Memory

26.8MiB live, 26.8MiB allocated; 0ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 x #s(literal 2 binary64))
accuracy	0.125	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Samples

13.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

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

ival-mult: 5.0ms (74.5% of total)

ival-sub: 1.0ms (14.9% 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)

series4.0ms (0%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Counts

4 → 12

Calls

Call 1

Inputs
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
(*.f64 x #s(literal 2 binary64))

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((- 3 (* x 2)) (* (* x x) (- 3 (* x 2))) (* x x) (* x 2))
1.0ms	x	@	-inf	((- 3 (* x 2)) (* (* x x) (- 3 (* x 2))) (* x x) (* x 2))
1.0ms	x	@	0	((- 3 (* x 2)) (* (* x x) (- 3 (* x 2))) (* x x) (* x 2))

simplify128.0ms (1.6%)

Memory

-12.5MiB live, 127.8MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	62
1	63	62
2	200	62
3	805	62
4	3436	62
0	8229	56

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

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

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

rewrite46.0ms (0.6%)

Memory

11.7MiB live, 56.3MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	38	20
0	258	20

Stop Event

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

Counts

4 → 52

Calls

Call 1

Inputs
(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(*.f64 x x)
(*.f64 x #s(literal 2 binary64))

Outputs
(/.f64 (+.f64 #s(literal 27 binary64) (pow.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 #s(literal 3 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x)))) (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64)))
(fma.f64 (neg.f64 x) #s(literal 2 binary64) #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) (neg.f64 x) #s(literal 3 binary64))
(-.f64 (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (/.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(-.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64))))
(-.f64 #s(literal 3 binary64) (*.f64 (neg.f64 (neg.f64 x)) #s(literal 2 binary64)))
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 (*.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) x))
(+.f64 #s(literal 3 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))))
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)))
(.f64 (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) x)) (*.f64 x x))
(.f64 x (.f64 (-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)) x))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (.f64 x x)) (fma.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64)))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x)))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 x x) (-.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (fma.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64)))
(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 (.f64 x x) (.f64 (neg.f64 x) #s(literal 2 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 x x) (.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (.f64 x x)))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 x x)) (.f64 (.f64 (neg.f64 x) #s(literal 2 binary64)) (*.f64 x x)))
(+.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 (.f64 x x) (*.f64 (neg.f64 x) #s(literal 2 binary64))))
(*.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)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
(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)

eval6.0ms (0.1%)

Memory: 11.6MiB live, 11.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 787 to 171 computations (78.3% saved)

prune10.0ms (0.1%)

Memory

-32.0MiB live, 13.4MiB allocated; 5ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	52	8	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	8	61

Accuracy

100.0%

Counts

61 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	86.9%	(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 (.f64 x x) (.f64 (neg.f64 x) #s(literal 2 binary64))))
▶	70.1%	(/.f64 (.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (.f64 x x)) (fma.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64)))
▶	96.1%	(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
▶	99.8%	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (+.f64 x x)))
	73.9%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
▶	62.5%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
	74.0%	#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
▶	99.8%	#s(approx (* (* x x) (- 3 (* x 2))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))

Compiler

Compiled 232 to 164 computations (29.3% saved)

simplify335.0ms (4.2%)

Memory

-17.9MiB live, 337.8MiB allocated; 188ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (*.f64 x x))
cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (.f64 x x)) (fma.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64)))
cost-diff	1	(-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))
cost-diff	2	(fma.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64))
cost-diff	0	(.f64 #s(literal 4 binary64) (.f64 x x))
cost-diff	0	(.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x))
cost-diff	0	(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
cost-diff	1	(-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x)))
cost-diff	0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
cost-diff	0	#s(approx (* (* x x) (- 3 (* x 2))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))
cost-diff	0	#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
cost-diff	0	(+.f64 x x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (+.f64 x x)))
cost-diff	1	(-.f64 #s(literal 3 binary64) (+.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	203
0	53	205
1	113	198
2	358	198
3	1693	198
4	5192	198
0	8899	188

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (+.f64 x x)))
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (+.f64 x x))
#s(literal 3 binary64)
(+.f64 x x)
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 x x)
x
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (* (* x x) (- 3 (* x 2))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
x
#s(literal 3 binary64)
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x))
(-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x)))
#s(literal 9 binary64)
(.f64 #s(literal 4 binary64) (.f64 x x))
#s(literal 4 binary64)
(*.f64 x x)
x
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)
(/.f64 (.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (.f64 x x)) (fma.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64)))
(.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (*.f64 x x))
(-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))
#s(literal 27 binary64)
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(literal 3 binary64)
(*.f64 x x)
(fma.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))
#s(literal 9 binary64)

Outputs
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (+.f64 x x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 x x)
x
(-.f64 #s(literal 3 binary64) (+.f64 x x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal 3 binary64)
(+.f64 x x)
(*.f64 #s(literal 2 binary64) x)
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 x x)
x
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (* (* x x) (- 3 (* x 2))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
x
#s(literal 3 binary64)
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x))
(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x)))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
#s(literal 9 binary64)
(.f64 #s(literal 4 binary64) (.f64 x x))
#s(literal 4 binary64)
(*.f64 x x)
x
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)
(/.f64 (.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (.f64 x x)) (fma.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64)))
(.f64 (/.f64 x (fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))) (.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x))
(.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (*.f64 x x))
(.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (.f64 x x))
(-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))
(fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))
#s(literal 27 binary64)
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
#s(literal 3 binary64)
(*.f64 x x)
(fma.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64))
(fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))
#s(literal 9 binary64)

localize152.0ms (1.9%)

Memory

46.5MiB live, 232.0MiB allocated; 17ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 #s(literal 2 binary64) x)
accuracy	0.1241459363809557	(.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (*.f64 x x))
accuracy	17.64545515755475	(/.f64 (.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (.f64 x x)) (fma.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64)))
accuracy	0.00390625	(-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x)))
accuracy	0.0078125	(.f64 #s(literal 4 binary64) (.f64 x x))
accuracy	0.17578125	(.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x))
accuracy	2.401196437757174	(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
accuracy	0.0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
accuracy	0.0	#s(approx (* (* x x) (- 3 (* x 2))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))
accuracy	0.109375	(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
accuracy	0.12890625	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.125	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
accuracy	30.823713586086665	#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
accuracy	0.0	(-.f64 #s(literal 3 binary64) (+.f64 x x))
accuracy	0.0	(+.f64 x x)
accuracy	0.0	(*.f64 x x)
accuracy	0.125	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (+.f64 x x)))

Samples

118.0ms	230×	0	valid
6.0ms	17×	1	valid
5.0ms	9×	2	valid

Compiler

Compiled 202 to 32 computations (84.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 110.0ms

ival-mult: 56.0ms (50.9% of total)

ival-add: 36.0ms (32.7% of total)

ival-pow: 6.0ms (5.5% of total)

ival-sub: 5.0ms (4.5% of total)

adjust: 3.0ms (2.7% of total)

ival-div: 3.0ms (2.7% of total)

exact: 1.0ms (0.9% of total)

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

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

series16.0ms (0.2%)

Memory

-6.0MiB live, 38.7MiB allocated; 9ms collecting garbage

Counts

19 → 39

Calls

Call 1

Inputs
(-.f64 #s(literal 3 binary64) (+.f64 x x))
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (+.f64 x x)))
(*.f64 x x)
(+.f64 x x)
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
#s(approx (* (* x x) (- 3 (* x 2))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x))
(.f64 #s(literal 4 binary64) (.f64 x x))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64))
(-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (.f64 x x)) (fma.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64)))
(.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (*.f64 x x))
(*.f64 #s(literal 2 binary64) x)

Outputs
3
(+ 3 (* -2 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(pow x 2)
(* 2 x)
(* 3 x)
(* x (+ 3 (* -2 x)))
9
(+ 9 (* -4 (pow x 2)))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(* 4 (pow x 2))
(+ 9 (* 6 x))
(+ 9 (* x (+ 6 (* 4 x))))
27
(+ 27 (* -8 (pow x 3)))
(* 27 (pow x 2))
(* (pow x 2) (+ 27 (* -8 (pow x 3))))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -4 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* -4 (pow x 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(* -8 (pow x 3))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(* -8 (pow x 5))
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))

Calls

3 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	((- 3 (+ x x)) (* (* x x) (- 3 (+ x x))) (* x x) (+ x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* x x) (- 3 (* x 2))) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (- 9 (* 4 (* x x))) (/ (* (- 9 (* 4 (* x x))) (* x x)) (+ (* 2 x) 3)) (* (- 9 (* 4 (* x x))) (* x x)) (* 4 (* x x)) (+ (* (* 2 x) (+ (* 2 x) 3)) 9) (- 27 (pow (* 2 x) 3)) (/ (* (- 27 (pow (* 2 x) 3)) (* x x)) (+ (* (* 2 x) (+ (* 2 x) 3)) 9)) (* (- 27 (pow (* 2 x) 3)) (* x x)) (* 2 x))
4.0ms	x	@	-inf	((- 3 (+ x x)) (* (* x x) (- 3 (+ x x))) (* x x) (+ x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* x x) (- 3 (* x 2))) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (- 9 (* 4 (* x x))) (/ (* (- 9 (* 4 (* x x))) (* x x)) (+ (* 2 x) 3)) (* (- 9 (* 4 (* x x))) (* x x)) (* 4 (* x x)) (+ (* (* 2 x) (+ (* 2 x) 3)) 9) (- 27 (pow (* 2 x) 3)) (/ (* (- 27 (pow (* 2 x) 3)) (* x x)) (+ (* (* 2 x) (+ (* 2 x) 3)) 9)) (* (- 27 (pow (* 2 x) 3)) (* x x)) (* 2 x))
3.0ms	x	@	inf	((- 3 (+ x x)) (* (* x x) (- 3 (+ x x))) (* x x) (+ x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* x x) (- 3 (* x 2))) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (- 9 (* 4 (* x x))) (/ (* (- 9 (* 4 (* x x))) (* x x)) (+ (* 2 x) 3)) (* (- 9 (* 4 (* x x))) (* x x)) (* 4 (* x x)) (+ (* (* 2 x) (+ (* 2 x) 3)) 9) (- 27 (pow (* 2 x) 3)) (/ (* (- 27 (pow (* 2 x) 3)) (* x x)) (+ (* (* 2 x) (+ (* 2 x) 3)) 9)) (* (- 27 (pow (* 2 x) 3)) (* x x)) (* 2 x))

Time

Variable

Point

Expression

7.0ms

((- 3 (+ x x)) (* (* x x) (- 3 (+ x x))) (* x x) (+ x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* x x) (- 3 (* x 2))) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (- 9 (* 4 (* x x))) (/ (* (- 9 (* 4 (* x x))) (* x x)) (+ (* 2 x) 3)) (* (- 9 (* 4 (* x x))) (* x x)) (* 4 (* x x)) (+ (* (* 2 x) (+ (* 2 x) 3)) 9) (- 27 (pow (* 2 x) 3)) (/ (* (- 27 (pow (* 2 x) 3)) (* x x)) (+ (* (* 2 x) (+ (* 2 x) 3)) 9)) (* (- 27 (pow (* 2 x) 3)) (* x x)) (* 2 x))

4.0ms

-inf

((- 3 (+ x x)) (* (* x x) (- 3 (+ x x))) (* x x) (+ x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* x x) (- 3 (* x 2))) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (- 9 (* 4 (* x x))) (/ (* (- 9 (* 4 (* x x))) (* x x)) (+ (* 2 x) 3)) (* (- 9 (* 4 (* x x))) (* x x)) (* 4 (* x x)) (+ (* (* 2 x) (+ (* 2 x) 3)) 9) (- 27 (pow (* 2 x) 3)) (/ (* (- 27 (pow (* 2 x) 3)) (* x x)) (+ (* (* 2 x) (+ (* 2 x) 3)) 9)) (* (- 27 (pow (* 2 x) 3)) (* x x)) (* 2 x))

3.0ms

inf

((- 3 (+ x x)) (* (* x x) (- 3 (+ x x))) (* x x) (+ x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* x x) (- 3 (* x 2))) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (+ (* -2 x) 3) (- 9 (* 4 (* x x))) (/ (* (- 9 (* 4 (* x x))) (* x x)) (+ (* 2 x) 3)) (* (- 9 (* 4 (* x x))) (* x x)) (* 4 (* x x)) (+ (* (* 2 x) (+ (* 2 x) 3)) 9) (- 27 (pow (* 2 x) 3)) (/ (* (- 27 (pow (* 2 x) 3)) (* x x)) (+ (* (* 2 x) (+ (* 2 x) 3)) 9)) (* (- 27 (pow (* 2 x) 3)) (* x x)) (* 2 x))

simplify134.0ms (1.7%)

Memory

-17.6MiB live, 170.3MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	247
1	216	247
2	654	247
3	2521	245
4	7427	245
0	8009	225

Stop Event

1×	iter limit
1×	node limit

Counts

39 → 39

Calls

Call 1

Inputs
3
(+ 3 (* -2 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(pow x 2)
(* 2 x)
(* 3 x)
(* x (+ 3 (* -2 x)))
9
(+ 9 (* -4 (pow x 2)))
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(* 4 (pow x 2))
(+ 9 (* 6 x))
(+ 9 (* x (+ 6 (* 4 x))))
27
(+ 27 (* -8 (pow x 3)))
(* 27 (pow x 2))
(* (pow x 2) (+ 27 (* -8 (pow x 3))))
(* -2 x)
(* x (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -4 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* -4 (pow x 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(* -8 (pow x 3))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(* -8 (pow x 5))
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))

Outputs
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(pow x 2)
(*.f64 x x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
9
#s(literal 9 binary64)
(+ 9 (* -4 (pow x 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
(* 9 (pow x 2))
(.f64 #s(literal 9 binary64) (.f64 x x))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(+ 9 (* 6 x))
(fma.f64 #s(literal 6 binary64) x #s(literal 9 binary64))
(+ 9 (* x (+ 6 (* 4 x))))
(fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))
27
#s(literal 27 binary64)
(+ 27 (* -8 (pow x 3)))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 27 binary64))
(* 27 (pow x 2))
(.f64 #s(literal 27 binary64) (.f64 x x))
(* (pow x 2) (+ 27 (* -8 (pow x 3))))
(.f64 (.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 27 binary64)) x) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* -4 (pow x 2))
(.f64 #s(literal -4 binary64) (.f64 x x))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 4 binary64)) x) x)
(* -4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (/.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 4 binary64)))
(* (pow x 2) (+ 4 (* 6 (/ 1 x))))
(*.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x)
(* (pow x 2) (+ 4 (+ (* 6 (/ 1 x)) (/ 9 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) x #s(literal 9 binary64))
(* -8 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64))
(* (pow x 3) (- (* 27 (/ 1 (pow x 3))) 8))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 27 binary64))
(* -8 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -8 binary64))
(* (pow x 5) (- (* 27 (/ 1 (pow x 3))) 8))
(*.f64 (-.f64 (/.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* (pow x 3) (- 8 (* 27 (/ 1 (pow x 3))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -8 binary64) #s(literal 27 binary64))
(* -1 (* (pow x 5) (- 8 (* 27 (/ 1 (pow x 3))))))
(*.f64 (-.f64 (/.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 8 binary64)) (pow.f64 x #s(literal 5 binary64)))

rewrite50.0ms (0.6%)

Memory

4.6MiB live, 51.2MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	164
0	53	164
0	217	164

Stop Event

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

Counts

19 → 67

Calls

Call 1

Inputs
(-.f64 #s(literal 3 binary64) (+.f64 x x))
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (+.f64 x x)))
(*.f64 x x)
(+.f64 x x)
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
#s(approx (* (* x x) (- 3 (* x 2))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x)))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x))
(.f64 #s(literal 4 binary64) (.f64 x x))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64))
(-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (.f64 x x)) (fma.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64)))
(.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (*.f64 x x))
(*.f64 #s(literal 2 binary64) x)

Outputs
(/.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (fma.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64)))
(-.f64 (-.f64 #s(literal 3 binary64) x) x)
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 3 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(.f64 (-.f64 (-.f64 #s(literal 3 binary64) x) x) (.f64 x x))
(.f64 (.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
(.f64 x (.f64 x (-.f64 (-.f64 #s(literal 3 binary64) x) x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(*.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))))
(+.f64 x x)
(.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) (*.f64 x x))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(.f64 x (.f64 x #s(approx (- 3 (* x 2)) #s(literal 3 binary64))))
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
#s(approx (* (* x x) (- 3 (* x 2))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
(.f64 x (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(*.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x)) #s(literal 9 binary64)) (-.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)) #s(literal 27 binary64)) (fma.f64 (.f64 #s(literal -2 binary64) x) (.f64 #s(literal -2 binary64) x) (-.f64 #s(literal 9 binary64) (.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
(+.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 3 binary64))
(+.f64 #s(literal 3 binary64) (*.f64 #s(literal -2 binary64) x))
(/.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 #s(literal 4 binary64) (.f64 x x)))) (+.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (*.f64 x x))))
(/.f64 (-.f64 #s(literal 729 binary64) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 81 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (*.f64 x x))))))
(-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x)))
(+.f64 #s(literal 9 binary64) (.f64 #s(literal -4 binary64) (.f64 x x)))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (/.f64 (.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) x) x)) (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) x) x)
(.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x))
(.f64 (.f64 x x) (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))))
(.f64 (.f64 #s(literal 4 binary64) x) x)
(.f64 #s(literal 4 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 4 binary64))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) #s(literal 81 binary64)) (-.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) #s(literal 9 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 729 binary64)) (fma.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (-.f64 #s(literal 81 binary64) (.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) #s(literal 9 binary64)))))
(fma.f64 (*.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64))
(fma.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (*.f64 #s(literal 2 binary64) x) #s(literal 9 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) #s(literal 9 binary64))
(+.f64 (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) #s(literal 9 binary64))
(+.f64 #s(literal 9 binary64) (.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 729 binary64) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (+.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))
(/.f64 (-.f64 #s(literal 19683 binary64) (pow.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 729 binary64) (fma.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (.f64 #s(literal 27 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))))
(-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))
(.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (/.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) x) x)) (neg.f64 (fma.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64))))
(/.f64 (.f64 (.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) x) x) (fma.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64)))
(.f64 (.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) x) x)
(.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (*.f64 x x))
(.f64 (.f64 x x) (-.f64 #s(literal 27 binary64) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))))
(*.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))))
(+.f64 x x)

eval10.0ms (0.1%)

Memory: 22.8MiB live, 22.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 2 207 to 358 computations (83.8% saved)

prune45.0ms (0.6%)

Memory

-18.1MiB live, 46.0MiB allocated; 14ms collecting garbage

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	106	6	112
Fresh	3	0	3
Picked	4	1	5
Done	0	0	0
Total	113	7	120

Accuracy

100.0%

Counts

120 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.6%	(/.f64 (.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
▶	96.1%	(/.f64 #s(approx (* (- 9 (* 4 (* x x))) (* x x)) (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
▶	99.8%	(.f64 (-.f64 (-.f64 #s(literal 3 binary64) x) x) (.f64 x x))
▶	73.9%	(.f64 (.f64 x x) #s(approx (- 3 (+ x x)) (*.f64 #s(literal -2 binary64) x)))
✓	62.5%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
▶	62.5%	(.f64 x (.f64 x #s(approx (- 3 (* x 2)) #s(literal 3 binary64))))
	74.0%	#s(approx (* (* x x) (- 3 (+ x x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Compiler

Compiled 197 to 143 computations (27.4% saved)

simplify235.0ms (3%)

Memory

7.2MiB live, 232.4MiB allocated; 80ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
cost-diff	0	#s(approx (* (- 9 (* 4 (* x x))) (* x x)) (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x))
cost-diff	0	(/.f64 #s(approx (* (- 9 (* 4 (* x x))) (* x x)) (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64))
cost-diff	0	(.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) (*.f64 x x))
cost-diff	0	(/.f64 (.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
cost-diff	0	(*.f64 #s(literal -2 binary64) x)
cost-diff	0	#s(approx (- 3 (+ x x)) (*.f64 #s(literal -2 binary64) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(approx (- 3 (+ x x)) (*.f64 #s(literal -2 binary64) x)))
cost-diff	0	#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
cost-diff	0	(.f64 x #s(approx (- 3 ( x 2)) #s(literal 3 binary64)))
cost-diff	0	(.f64 x (.f64 x #s(approx (- 3 (* x 2)) #s(literal 3 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 #s(literal 3 binary64) x)
cost-diff	0	(.f64 (-.f64 (-.f64 #s(literal 3 binary64) x) x) (.f64 x x))
cost-diff	1	(-.f64 (-.f64 #s(literal 3 binary64) x) x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	217
0	52	212
1	95	212
2	245	212
3	758	212
4	2119	212
5	5495	212
0	8152	205

Stop Event

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

Calls

Call 1

Inputs
(.f64 (-.f64 (-.f64 #s(literal 3 binary64) x) x) (.f64 x x))
(-.f64 (-.f64 #s(literal 3 binary64) x) x)
(-.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(*.f64 x x)
(.f64 x (.f64 x #s(approx (- 3 (* x 2)) #s(literal 3 binary64))))
x
(.f64 x #s(approx (- 3 ( x 2)) #s(literal 3 binary64)))
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 (.f64 x x) #s(approx (- 3 (+ x x)) (*.f64 #s(literal -2 binary64) x)))
(*.f64 x x)
x
#s(approx (- 3 (+ x x)) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(/.f64 (.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) (*.f64 x x))
#s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64))
#s(literal 9 binary64)
(*.f64 x x)
x
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)
(/.f64 #s(approx (* (- 9 (* 4 (* x x))) (* x x)) (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
#s(approx (* (- 9 (* 4 (* x x))) (* x x)) (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
#s(literal -4 binary64)
(*.f64 x x)
x
#s(literal 9 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)

Outputs
(.f64 (-.f64 (-.f64 #s(literal 3 binary64) x) x) (.f64 x x))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(-.f64 (-.f64 #s(literal 3 binary64) x) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(-.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
(*.f64 x x)
(.f64 x (.f64 x #s(approx (- 3 (* x 2)) #s(literal 3 binary64))))
(.f64 (.f64 #s(approx (- 3 (+ x x)) #s(literal 3 binary64)) x) x)
x
(.f64 x #s(approx (- 3 ( x 2)) #s(literal 3 binary64)))
(*.f64 #s(approx (- 3 (+ x x)) #s(literal 3 binary64)) x)
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
#s(approx (- 3 (+ x x)) #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 (.f64 x x) #s(approx (- 3 (+ x x)) (*.f64 #s(literal -2 binary64) x)))
(.f64 #s(approx (- 3 (+ x x)) (.f64 #s(literal -2 binary64) x)) (*.f64 x x))
(*.f64 x x)
x
#s(approx (- 3 (+ x x)) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(/.f64 (.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(.f64 (/.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (*.f64 x x))
(.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) (*.f64 x x))
(.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x) x)
#s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64))
#s(literal 9 binary64)
(*.f64 x x)
x
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)
(/.f64 #s(approx (* (- 9 (* 4 (* x x))) (* x x)) (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
#s(approx (* (- 9 (* 4 (* x x))) (* x x)) (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
#s(literal -4 binary64)
(*.f64 x x)
x
#s(literal 9 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)

localize152.0ms (1.9%)

Memory

-13.8MiB live, 172.7MiB allocated; 46ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
accuracy	0.078125	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
accuracy	0.09765625	(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
accuracy	2.401196437757174	(/.f64 #s(approx (* (- 9 (* 4 (* x x))) (* x x)) (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.17578125	(.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) (*.f64 x x))
accuracy	2.401196437757174	(/.f64 (.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
accuracy	31.394017828462207	#s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.0	(*.f64 #s(literal -2 binary64) x)
accuracy	0.125	(.f64 (.f64 x x) #s(approx (- 3 (+ x x)) (*.f64 #s(literal -2 binary64) x)))
accuracy	31.97816862016223	#s(approx (- 3 (+ x x)) (*.f64 #s(literal -2 binary64) x))
accuracy	0.109375	(.f64 x #s(approx (- 3 ( x 2)) #s(literal 3 binary64)))
accuracy	0.12890625	(.f64 x (.f64 x #s(approx (- 3 (* x 2)) #s(literal 3 binary64))))
accuracy	30.823713586086665	#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
accuracy	0.0	(-.f64 #s(literal 3 binary64) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.015625	(-.f64 (-.f64 #s(literal 3 binary64) x) x)
accuracy	0.125	(.f64 (-.f64 (-.f64 #s(literal 3 binary64) x) x) (.f64 x x))

Samples

58.0ms	225×	0	valid
6.0ms	18×	1	valid
4.0ms	9×	2	valid
3.0ms	4×	3	valid

Compiler

Compiled 184 to 31 computations (83.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 24.0ms (58.5% of total)

ival-sub: 7.0ms (17.1% of total)

adjust: 4.0ms (9.8% of total)

ival-add: 4.0ms (9.8% of total)

ival-div: 2.0ms (4.9% of total)

exact: 1.0ms (2.4% of total)

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

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

series6.0ms (0.1%)

Memory

10.5MiB live, 10.5MiB allocated; 0ms collecting garbage

Counts

18 → 32

Calls

Call 1

Inputs
(-.f64 (-.f64 #s(literal 3 binary64) x) x)
(.f64 (-.f64 (-.f64 #s(literal 3 binary64) x) x) (.f64 x x))
(-.f64 #s(literal 3 binary64) x)
(*.f64 x x)
(.f64 x (.f64 x #s(approx (- 3 (* x 2)) #s(literal 3 binary64))))
(.f64 x #s(approx (- 3 ( x 2)) #s(literal 3 binary64)))
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
(.f64 (.f64 x x) #s(approx (- 3 (+ x x)) (*.f64 #s(literal -2 binary64) x)))
#s(approx (- 3 (+ x x)) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(/.f64 (.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) (*.f64 x x))
#s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64))
(/.f64 #s(approx (* (- 9 (* 4 (* x x))) (* x x)) (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
#s(approx (* (- 9 (* 4 (* x x))) (* x x)) (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))

Outputs
3
(+ 3 (* -2 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(+ 3 (* -1 x))
(pow x 2)
(* 3 x)
(* x (+ 3 (* -2 x)))
(* -2 x)
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
9
(+ 9 (* -4 (pow x 2)))
(* 9 x)
(* x (+ 9 (* -4 (pow x 2))))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -1 x)
(* x (- (* 3 (/ 1 x)) 1))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -4 (pow x 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* -4 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* -4 (pow x 3))
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((- (- 3 x) x) (* (- (- 3 x) x) (* x x)) (- 3 x) (* x x) (* x (* x (- 3 (* x 2)))) (* x (- 3 (* x 2))) (- 3 (* x 2)) (* (* x x) (- 3 (+ x x))) (- 3 (+ x x)) (* -2 x) (/ (* (- 9 (* 4 (* x x))) (* x x)) (+ (* 2 x) 3)) (* (- 9 (* 4 (* x x))) (* x x)) (- 9 (* 4 (* x x))) (/ (* (- 9 (* 4 (* x x))) (* x x)) (+ (* 2 x) 3)) (* (- 9 (* 4 (* x x))) (* x x)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x) (+ (* -4 (* x x)) 9))

2.0ms

inf

((- (- 3 x) x) (* (- (- 3 x) x) (* x x)) (- 3 x) (* x x) (* x (* x (- 3 (* x 2)))) (* x (- 3 (* x 2))) (- 3 (* x 2)) (* (* x x) (- 3 (+ x x))) (- 3 (+ x x)) (* -2 x) (/ (* (- 9 (* 4 (* x x))) (* x x)) (+ (* 2 x) 3)) (* (- 9 (* 4 (* x x))) (* x x)) (- 9 (* 4 (* x x))) (/ (* (- 9 (* 4 (* x x))) (* x x)) (+ (* 2 x) 3)) (* (- 9 (* 4 (* x x))) (* x x)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x) (+ (* -4 (* x x)) 9))

1.0ms

((- (- 3 x) x) (* (- (- 3 x) x) (* x x)) (- 3 x) (* x x) (* x (* x (- 3 (* x 2)))) (* x (- 3 (* x 2))) (- 3 (* x 2)) (* (* x x) (- 3 (+ x x))) (- 3 (+ x x)) (* -2 x) (/ (* (- 9 (* 4 (* x x))) (* x x)) (+ (* 2 x) 3)) (* (- 9 (* 4 (* x x))) (* x x)) (- 9 (* 4 (* x x))) (/ (* (- 9 (* 4 (* x x))) (* x x)) (+ (* 2 x) 3)) (* (- 9 (* 4 (* x x))) (* x x)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x) (+ (* -4 (* x x)) 9))

simplify222.0ms (2.8%)

Memory

-1.0MiB live, 184.1MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	190
1	148	187
2	393	187
3	1705	187
4	5074	187
0	8116	176

Stop Event

1×	iter limit
1×	node limit

Counts

32 → 32

Calls

Call 1

Inputs
3
(+ 3 (* -2 x))
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(+ 3 (* -1 x))
(pow x 2)
(* 3 x)
(* x (+ 3 (* -2 x)))
(* -2 x)
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
9
(+ 9 (* -4 (pow x 2)))
(* 9 x)
(* x (+ 9 (* -4 (pow x 2))))
(* x (- (* 3 (/ 1 x)) 2))
(* -2 (pow x 3))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -1 x)
(* x (- (* 3 (/ 1 x)) 1))
(* -2 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(* -4 (pow x 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* -4 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* -4 (pow x 3))
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))

Outputs
3
#s(literal 3 binary64)
(+ 3 (* -2 x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(+ 3 (* -1 x))
(-.f64 #s(literal 3 binary64) x)
(pow x 2)
(*.f64 x x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* x (+ 3 (* -2 x)))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* -2 x)
(*.f64 #s(literal -2 binary64) x)
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
9
#s(literal 9 binary64)
(+ 9 (* -4 (pow x 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* -4 (pow x 2))))
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
(* x (- (* 3 (/ 1 x)) 2))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 x)
(neg.f64 x)
(* x (- (* 3 (/ 1 x)) 1))
(-.f64 #s(literal 3 binary64) x)
(* -2 (pow x 2))
(.f64 (.f64 x x) #s(literal -2 binary64))
(* (pow x 2) (- (* 3 (/ 1 x)) 2))
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(* -4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(.f64 (-.f64 (/.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -4 (pow x 2))
(.f64 #s(literal -4 binary64) (.f64 x x))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 4 binary64)) x) x)
(* -4 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))
(.f64 (-.f64 (/.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- 2 (* 3 (/ 1 x)))))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -1 (* x (- 1 (* 3 (/ 1 x)))))
(-.f64 #s(literal 3 binary64) x)
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))

rewrite82.0ms (1%)

Memory

15.9MiB live, 59.0MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	185
0	52	180
0	191	180

Stop Event

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

Counts

18 → 55

Calls

Call 1

Inputs
(-.f64 (-.f64 #s(literal 3 binary64) x) x)
(.f64 (-.f64 (-.f64 #s(literal 3 binary64) x) x) (.f64 x x))
(-.f64 #s(literal 3 binary64) x)
(*.f64 x x)
(.f64 x (.f64 x #s(approx (- 3 (* x 2)) #s(literal 3 binary64))))
(.f64 x #s(approx (- 3 ( x 2)) #s(literal 3 binary64)))
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
(.f64 (.f64 x x) #s(approx (- 3 (+ x x)) (*.f64 #s(literal -2 binary64) x)))
#s(approx (- 3 (+ x x)) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(/.f64 (.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) (*.f64 x x))
#s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64))
(/.f64 #s(approx (* (- 9 (* 4 (* x x))) (* x x)) (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
#s(approx (* (- 9 (* 4 (* x x))) (* x x)) (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))

Outputs
(/.f64 (-.f64 (.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 3 binary64) x)) (.f64 x x)) (+.f64 (-.f64 #s(literal 3 binary64) x) x))
(/.f64 (-.f64 #s(literal 9 binary64) (.f64 (.f64 #s(literal 2 binary64) x) (*.f64 #s(literal 2 binary64) x))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 3 binary64) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 3 binary64) x) (fma.f64 x x (*.f64 (-.f64 #s(literal 3 binary64) x) x))))
(/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (+.f64 #s(literal 9 binary64) (fma.f64 (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 2 binary64) x) (.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)))))
(-.f64 (-.f64 #s(literal 3 binary64) x) x)
(-.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x))
(+.f64 #s(literal 3 binary64) (*.f64 (neg.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (-.f64 (-.f64 #s(literal 3 binary64) x) x) x) x)
(.f64 (.f64 x x) (-.f64 (-.f64 #s(literal 3 binary64) x) x))
(.f64 (-.f64 (-.f64 #s(literal 3 binary64) x) x) (.f64 x x))
(/.f64 (-.f64 #s(literal 9 binary64) (*.f64 x x)) (+.f64 #s(literal 3 binary64) x))
(/.f64 (-.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 #s(literal 9 binary64) (fma.f64 x x (*.f64 #s(literal 3 binary64) x))))
(-.f64 #s(literal 3 binary64) x)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(.f64 (.f64 #s(approx (- 3 (+ x x)) #s(literal 3 binary64)) x) x)
(.f64 (.f64 x x) #s(approx (- 3 (+ x x)) #s(literal 3 binary64)))
(.f64 x (.f64 #s(approx (- 3 (+ x x)) #s(literal 3 binary64)) x))
(*.f64 #s(approx (- 3 (+ x x)) #s(literal 3 binary64)) x)
(*.f64 x #s(approx (- 3 (+ x x)) #s(literal 3 binary64)))
#s(approx (- 3 (+ x x)) #s(literal 3 binary64))
(.f64 #s(approx (- 3 (+ x x)) (.f64 #s(literal -2 binary64) x)) (*.f64 x x))
(.f64 (.f64 x x) #s(approx (- 3 (+ x x)) (*.f64 #s(literal -2 binary64) x)))
(.f64 x (.f64 x #s(approx (- 3 (+ x x)) (*.f64 #s(literal -2 binary64) x))))
#s(approx (- 3 (+ x x)) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
(.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(/.f64 (neg.f64 (.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x) x)) (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(/.f64 (.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x) x)
(.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) (*.f64 x x))
(.f64 (.f64 x x) #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)))
#s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64))
(/.f64 (neg.f64 #s(approx (* (- 9 (* 4 (* x x))) (* x x)) (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x))) (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(/.f64 #s(approx (* (- 9 (* 4 (* x x))) (* x x)) (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
#s(approx (* (- 9 (* 4 (* x x))) (* x x)) (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x))
(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)))
(.f64 x (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x))
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
(.f64 x (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)))
(/.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 #s(literal 4 binary64) (.f64 x x)))) (+.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (*.f64 x x))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal -4 binary64) (.f64 x x)) (.f64 #s(literal -4 binary64) (.f64 x x))) #s(literal 81 binary64)) (-.f64 (.f64 #s(literal -4 binary64) (*.f64 x x)) #s(literal 9 binary64)))
(/.f64 (-.f64 #s(literal 729 binary64) (pow.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) #s(literal 3 binary64))) (+.f64 #s(literal 81 binary64) (fma.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 #s(literal 4 binary64) (.f64 x x)) (.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (*.f64 x x))))))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal -4 binary64) (.f64 x x)) #s(literal 3 binary64)) #s(literal 729 binary64)) (fma.f64 (.f64 #s(literal -4 binary64) (.f64 x x)) (.f64 #s(literal -4 binary64) (.f64 x x)) (-.f64 #s(literal 81 binary64) (.f64 (.f64 #s(literal -4 binary64) (*.f64 x x)) #s(literal 9 binary64)))))
(fma.f64 (*.f64 #s(literal -4 binary64) x) x #s(literal 9 binary64))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
(fma.f64 (*.f64 x x) #s(literal -4 binary64) #s(literal 9 binary64))
(-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal -4 binary64) (.f64 x x)) #s(literal 9 binary64))
(+.f64 #s(literal 9 binary64) (.f64 #s(literal -4 binary64) (.f64 x x)))

eval23.0ms (0.3%)

Memory: -6.6MiB live, 37.7MiB allocated; 8ms collecting garbage
Compiler: Compiled 1 875 to 307 computations (83.6% saved)

prune5.0ms (0.1%)

Memory

21.2MiB live, 21.2MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	1	0	1
Picked	1	4	5
Done	0	1	1
Total	92	7	99

Accuracy

100.0%

Counts

99 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.6%	(/.f64 (.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
✓	50.6%	(/.f64 (.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
✓	99.8%	(.f64 (-.f64 (-.f64 #s(literal 3 binary64) x) x) (.f64 x x))
✓	73.9%	(.f64 (.f64 x x) #s(approx (- 3 (+ x x)) (*.f64 #s(literal -2 binary64) x)))
✓	62.5%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
✓	62.5%	(.f64 x (.f64 x #s(approx (- 3 (* x 2)) #s(literal 3 binary64))))
▶	74.0%	#s(approx (* (- (- 3 x) x) (* x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Compiler

Compiled 95 to 72 computations (24.2% saved)

simplify3.5s (44.2%)

Memory

-372.6MiB live, 260.0MiB allocated; 4.6s collecting garbage

Localize:

Found 7 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64))
cost-diff	0	(.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) x)
cost-diff	0	(.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x) x)
cost-diff	0	(/.f64 (.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
cost-diff	0	#s(approx (* (- (- 3 x) x) (* x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	85
0	27	85
1	55	85
2	151	85
3	413	85
4	1153	85
5	3387	85
6	6898	85
0	8502	80

Stop Event

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

Calls

Call 1

Inputs
#s(approx (* (- (- 3 x) x) (* x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -2 binary64)
(/.f64 (.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x) x)
(.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) x)
#s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64))
#s(literal 9 binary64)
x
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)

Outputs
#s(approx (* (- (- 3 x) x) (* x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
#s(approx (* (- (- 3 x) x) (* x x)) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
#s(literal -2 binary64)
(/.f64 (.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(.f64 (.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)))
(.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x) x)
(.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) x)
#s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64))
#s(literal 9 binary64)
x
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)

localize72.0ms (0.9%)

Memory

37.4MiB live, 83.8MiB allocated; 3ms collecting garbage

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0.078125	(.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) x)
accuracy	0.09765625	(.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x) x)
accuracy	2.401196437757174	(/.f64 (.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
accuracy	31.394017828462207	#s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64))
accuracy	0.0	(pow.f64 x #s(literal 3 binary64))
accuracy	0.0	(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
accuracy	16.657651850162605	#s(approx (* (- (- 3 x) x) (* x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Samples

32.0ms	251×	0	valid
29.0ms	4×	3	valid
0.0ms	1×	1	valid

Compiler

Compiled 75 to 21 computations (72% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-sub: 31.0ms (60% of total)

ival-mult: 11.0ms (21.3% of total)

ival-pow: 5.0ms (9.7% of total)

ival-div: 2.0ms (3.9% of total)

adjust: 1.0ms (1.9% of total)

ival-add: 1.0ms (1.9% of total)

exact: 1.0ms (1.9% of total)

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

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

series26.0ms (0.3%)

Memory

-37.0MiB live, 9.6MiB allocated; 5ms collecting garbage

Counts

7 → 19

Calls

Call 1

Inputs
#s(approx (* (- (- 3 x) x) (* x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x) x)
(.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) x)
#s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64))

Outputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(pow x 3)
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(* 9 x)
(* x (+ 9 (* -4 (pow x 2))))
9
(+ 9 (* -4 (pow x 2)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -4 (pow x 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* -4 (pow x 3))
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))
(* -4 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))

Calls

3 calls:

Time

Variable

Point

Expression

23.0ms

-inf

((* (- (- 3 x) x) (* x x)) (* (pow x 3) -2) (pow x 3) (/ (* (* (- 9 (* 4 (* x x))) x) x) (+ (* 2 x) 3)) (* (* (- 9 (* 4 (* x x))) x) x) (* (- 9 (* 4 (* x x))) x) (- 9 (* 4 (* x x))))

2.0ms

inf

((* (- (- 3 x) x) (* x x)) (* (pow x 3) -2) (pow x 3) (/ (* (* (- 9 (* 4 (* x x))) x) x) (+ (* 2 x) 3)) (* (* (- 9 (* 4 (* x x))) x) x) (* (- 9 (* 4 (* x x))) x) (- 9 (* 4 (* x x))))

1.0ms

((* (- (- 3 x) x) (* x x)) (* (pow x 3) -2) (pow x 3) (/ (* (* (- 9 (* 4 (* x x))) x) x) (+ (* 2 x) 3)) (* (* (- 9 (* 4 (* x x))) x) x) (* (- 9 (* 4 (* x x))) x) (- 9 (* 4 (* x x))))

simplify206.0ms (2.6%)

Memory

32.9MiB live, 208.5MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	135
1	108	135
2	322	135
3	1383	135
4	5214	135
0	8097	131

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 19

Calls

Call 1

Inputs
(* 3 (pow x 2))
(* (pow x 2) (+ 3 (* -2 x)))
(* -2 (pow x 3))
(pow x 3)
(* 9 (pow x 2))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(* 9 x)
(* x (+ 9 (* -4 (pow x 2))))
9
(+ 9 (* -4 (pow x 2)))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(* -4 (pow x 4))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(* -4 (pow x 3))
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))
(* -4 (pow x 2))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))

Outputs
(* 3 (pow x 2))
(.f64 (.f64 x x) #s(literal 3 binary64))
(* (pow x 2) (+ 3 (* -2 x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(* -2 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* 9 (pow x 2))
(.f64 (.f64 x x) #s(literal 9 binary64))
(* (pow x 2) (+ 9 (* -4 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(* 9 x)
(*.f64 #s(literal 9 binary64) x)
(* x (+ 9 (* -4 (pow x 2))))
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
9
#s(literal 9 binary64)
(+ 9 (* -4 (pow x 2)))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
(* (pow x 3) (- (* 3 (/ 1 x)) 2))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -4 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -4 binary64))
(* (pow x 4) (- (* 9 (/ 1 (pow x 2))) 4))
(.f64 (-.f64 (/.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))
(* -4 (pow x 3))
(*.f64 #s(literal -4 binary64) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 3) (- (* 9 (/ 1 (pow x 2))) 4))
(.f64 (-.f64 (/.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -4 (pow x 2))
(.f64 #s(literal -4 binary64) (.f64 x x))
(* (pow x 2) (- (* 9 (/ 1 (pow x 2))) 4))
(.f64 (.f64 (-.f64 (/.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 4 binary64)) x) x)
(* -1 (* (pow x 3) (- 2 (* 3 (/ 1 x)))))
(*.f64 (-.f64 (/.f64 #s(literal 3 binary64) x) #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* (pow x 3) (- 4 (* 9 (/ 1 (pow x 2))))))
(.f64 (-.f64 (/.f64 #s(literal 9 binary64) (.f64 x x)) #s(literal 4 binary64)) (pow.f64 x #s(literal 3 binary64)))

rewrite123.0ms (1.5%)

Memory

-17.9MiB live, 89.4MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	74
0	27	74
1	111	74
0	800	70

Stop Event

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

Counts

7 → 46

Calls

Call 1

Inputs
#s(approx (* (- (- 3 x) x) (* x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 (.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x) x)
(.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) x)
#s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64))

Outputs
#s(approx (* (- (- 3 x) x) (* x x)) (*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 #s(literal -2 binary64) (*.f64 x x)) x)
(.f64 (.f64 #s(literal -2 binary64) x) (*.f64 x x))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -2 binary64)))
(*.f64 #s(literal -2 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(.f64 (.f64 x x) (*.f64 x #s(literal -2 binary64)))
(.f64 x (.f64 (*.f64 x x) #s(literal -2 binary64)))
(.f64 (.f64 x (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 x (neg.f64 x)) (neg.f64 x))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))) (fabs.f64 (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) x))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 3 binary64))))
(.f64 (/.f64 (.f64 (.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64))) (-.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))
(.f64 (/.f64 (.f64 (.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (.f64 x #s(literal 6 binary64)))))
(.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x))
(.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) (/.f64 (*.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) (*.f64 x (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
(.f64 x (/.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(.f64 x (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x))) (neg.f64 (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
(/.f64 (.f64 (neg.f64 x) (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x)) (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(/.f64 (.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(neg.f64 (/.f64 (.f64 (neg.f64 x) (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(neg.f64 (/.f64 (.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x) x) (neg.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
(.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x) x)
(.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) (*.f64 x x))
(.f64 (.f64 x x) #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)))
(.f64 x (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x))
(.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) x)
(.f64 x #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)))
#s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64))

eval6.0ms (0.1%)

Memory: 19.6MiB live, 19.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 218 to 220 computations (81.9% saved)

prune16.0ms (0.2%)

Memory

-17.8MiB live, 26.3MiB allocated; 4ms collecting garbage

Pruning

7 alts after pruning (0 fresh and 7 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	0	0
Picked	0	2	2
Done	0	5	5
Total	62	7	69

Accuracy

100.0%

Counts

69 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	50.6%	(/.f64 (.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
✓	50.6%	(/.f64 (.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
✓	99.8%	(.f64 (-.f64 (-.f64 #s(literal 3 binary64) x) x) (.f64 x x))
✓	73.9%	(.f64 (.f64 x x) #s(approx (- 3 (+ x x)) (*.f64 #s(literal -2 binary64) x)))
✓	62.5%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
✓	62.5%	(.f64 x (.f64 x #s(approx (- 3 (* x 2)) #s(literal 3 binary64))))
✓	74.0%	#s(approx (* (- (- 3 x) x) (* x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Compiler

Compiled 346 to 151 computations (56.4% saved)

regimes12.0ms (0.2%)

Memory

-2.3MiB live, 42.1MiB allocated; 4ms collecting garbage

Counts

17 → 1

Calls

Call 1

Inputs
(.f64 x (.f64 x #s(approx (- 3 (* x 2)) #s(literal 3 binary64))))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(.f64 (.f64 x x) #s(approx (- 3 (+ x x)) (*.f64 #s(literal -2 binary64) x)))
#s(approx (* (* x x) (- 3 (* x 2))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (+.f64 x x)))
(.f64 (-.f64 (-.f64 #s(literal 3 binary64) x) x) (.f64 x x))
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 #s(approx (- 9 ( 4 (* x x))) #s(literal 9 binary64)) (*.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 #s(approx (- 9 (* 4 (* x x))) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 (.f64 x x) (.f64 (neg.f64 x) #s(literal 2 binary64))))
(/.f64 #s(approx (* (- 9 (* 4 (* x x))) (* x x)) (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 x x)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
#s(approx (* (* x x) (- 3 (+ x x))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
#s(approx (* (- (- 3 x) x) (* x x)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64))) (.f64 x x)) (fma.f64 (.f64 #s(literal 2 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 9 binary64)))

Outputs
(.f64 (-.f64 (-.f64 #s(literal 3 binary64) x) x) (.f64 x x))

Calls

2 calls:

6.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
5.0ms	x

Results

Accuracy	Segments	Branch
99.8%	1	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`
99.8%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes5.0ms (0.1%)

Memory

20.3MiB live, 20.3MiB allocated; 0ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
(.f64 x (.f64 x #s(approx (- 3 (* x 2)) #s(literal 3 binary64))))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(.f64 (.f64 x x) #s(approx (- 3 (+ x x)) (*.f64 #s(literal -2 binary64) x)))
#s(approx (* (* x x) (- 3 (* x 2))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (+.f64 x x)))

Outputs
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (+.f64 x x)))

Calls

2 calls:

2.0ms	x
2.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
99.8%	1	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`
99.8%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0.1%)

Memory

17.5MiB live, 17.5MiB allocated; 0ms collecting garbage

Counts

5 → 1

Calls

Call 1

Inputs
(.f64 x (.f64 x #s(approx (- 3 (* x 2)) #s(literal 3 binary64))))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(.f64 (.f64 x x) #s(approx (- 3 (+ x x)) (*.f64 #s(literal -2 binary64) x)))
#s(approx (* (* x x) (- 3 (* x 2))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))

Outputs
#s(approx (* (* x x) (- 3 (* x 2))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))

Calls

2 calls:

2.0ms	x
2.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
99.8%	1	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`
99.8%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes24.0ms (0.3%)

Memory

-46.8MiB live, 22.2MiB allocated; 10ms collecting garbage

Counts

4 → 3

Calls

Call 1

Inputs
(.f64 x (.f64 x #s(approx (- 3 (* x 2)) #s(literal 3 binary64))))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(.f64 (.f64 x x) #s(approx (- 3 (+ x x)) (*.f64 #s(literal -2 binary64) x)))

Outputs

(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))

(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))

(*.f64 (*.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))

Calls

2 calls:

22.0ms	x
2.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
98.0%	3	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`
98.0%	3	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes3.0ms (0%)

Memory

6.5MiB live, 6.5MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs
(.f64 x (.f64 x #s(approx (- 3 (* x 2)) #s(literal 3 binary64))))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))

Outputs
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))

Calls

2 calls:

1.0ms	x
1.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
62.5%	1	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`
62.5%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes2.0ms (0%)

Memory

8.8MiB live, 8.8MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 x (.f64 x #s(approx (- 3 (* x 2)) #s(literal 3 binary64))))

Outputs
(.f64 x (.f64 x #s(approx (- 3 (* x 2)) #s(literal 3 binary64))))

Calls

2 calls:

1.0ms	x
1.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
62.5%	1	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`
62.5%	1	`x`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch84.0ms (1.1%)

Memory

-24.5MiB live, 112.4MiB allocated; 10ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	5.963293947394416e-13	88108250.91140813
37.0ms	-28473.366371047636	-0.12886321219464955

Samples

41.0ms

320×

valid

Compiler

Compiled 492 to 431 computations (12.4% saved)

Precisions

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

ival-mult: 8.0ms (76.3% of total)

ival-sub: 2.0ms (19.1% 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)

simplify59.0ms (0.7%)

Memory

30.8MiB live, 82.0MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	91
1	52	91
2	117	91
3	333	91
4	902	91
5	4569	91

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (-.f64 (-.f64 #s(literal 3 binary64) x) x) (.f64 x x))
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (+.f64 x x)))
#s(approx (* (* x x) (- 3 (* x 2))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))
(if (<=.f64 x #s(literal -3/2 binary64)) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (.f64 #s(literal -2 binary64) x))) (if (<=.f64 x #s(literal 3/2 binary64)) (.f64 (.f64 x x) #s(approx (- 3 ( x 2)) #s(literal 3 binary64))) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(.f64 x (.f64 x #s(approx (- 3 (* x 2)) #s(literal 3 binary64))))

Outputs
(.f64 (-.f64 (-.f64 #s(literal 3 binary64) x) x) (.f64 x x))
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (+.f64 x x)))
#s(approx (* (* x x) (- 3 (* x 2))) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x))
(if (<=.f64 x #s(literal -3/2 binary64)) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (.f64 #s(literal -2 binary64) x))) (if (<=.f64 x #s(literal 3/2 binary64)) (.f64 (.f64 x x) #s(approx (- 3 ( x 2)) #s(literal 3 binary64))) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))))
(if (or (<=.f64 x #s(literal -3/2 binary64)) (not (<=.f64 x #s(literal 3/2 binary64)))) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (.f64 #s(literal -2 binary64) x))) (.f64 (.f64 x x) #s(approx (- 3 ( x 2)) #s(literal 3 binary64))))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(.f64 x (.f64 x #s(approx (- 3 (* x 2)) #s(literal 3 binary64))))

derivations286.0ms (3.6%)

Memory

30.8MiB live, 347.2MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	164
0	53	164
0	217	164
0	24	62
1	63	62
2	200	62
3	805	62
4	3436	62
0	8229	56
0	7	20
0	11	20
1	38	20
0	258	20

Stop Event

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

Compiler

Compiled 91 to 34 computations (62.6% saved)

preprocess97.0ms (1.2%)

Memory: -54.4MiB live, 53.3MiB allocated; 19ms collecting garbage
Compiler: Compiled 218 to 96 computations (56% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (15.3%)

explain151.0ms (1.9%)

preprocess220.0ms (2.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify148.0ms (1.9%)

localize18.0ms (0.2%)

series4.0ms (0%)

simplify128.0ms (1.6%)

rewrite46.0ms (0.6%)

eval6.0ms (0.1%)

prune10.0ms (0.1%)

simplify335.0ms (4.2%)

localize152.0ms (1.9%)

series16.0ms (0.2%)

simplify134.0ms (1.7%)

rewrite50.0ms (0.6%)

eval10.0ms (0.1%)

prune45.0ms (0.6%)

simplify235.0ms (3%)

localize152.0ms (1.9%)

series6.0ms (0.1%)

simplify222.0ms (2.8%)

rewrite82.0ms (1%)

eval23.0ms (0.3%)

prune5.0ms (0.1%)

simplify3.5s (44.2%)

localize72.0ms (0.9%)

series26.0ms (0.3%)

simplify206.0ms (2.6%)

rewrite123.0ms (1.5%)

eval6.0ms (0.1%)

prune16.0ms (0.2%)

regimes12.0ms (0.2%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes24.0ms (0.3%)

regimes3.0ms (0%)

regimes2.0ms (0%)

bsearch84.0ms (1.1%)

simplify59.0ms (0.7%)

derivations286.0ms (3.6%)

preprocess97.0ms (1.2%)

end0.0ms (0%)

Profiling