Metrics for Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

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

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample780.0ms (37.4%)

Memory

21.3MiB live, 1 000.3MiB allocated; 194ms collecting garbage

Samples

521.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 265.0ms

ival-mult: 119.0ms (44.8% of total)

ival-div: 88.0ms (33.2% of total)

ival-sub: 40.0ms (15.1% of total)

exact: 8.0ms (3% of total)

ival-true: 5.0ms (1.9% of total)

adjust: 3.0ms (1.1% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain113.0ms (5.4%)

Memory

19.5MiB live, 121.3MiB allocated; 23ms collecting garbage

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 6 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
-	-	`(*.f64 x x)`
-	-	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

23.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

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

ival-mult: 4.0ms (35.6% of total)

ival-div: 3.0ms (26.7% of total)

ival-sub: 2.0ms (17.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess54.0ms (2.6%)

Memory

-7.6MiB live, 36.1MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	30	21
2	58	21
3	90	21
4	135	21
5	145	21
6	149	21
7	152	21
0	6	7
0	9	7
1	17	7
2	36	7
3	65	7
4	94	7
5	109	7
6	117	7
7	125	7
8	131	7
9	135	7
0	135	7

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Outputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

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

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify6.0ms (0.3%)

Memory

10.3MiB live, 10.3MiB allocated; 0ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(-.f64 (*.f64 x x) #s(literal 3 binary64))
cost-diff	0	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	17	18
2	36	18
3	65	18
4	94	18
5	109	18
6	117	18
7	125	18
8	131	18
9	135	18
0	135	18

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal 6 binary64)

Outputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal 6 binary64)

localize22.0ms (1.1%)

Memory

-4.7MiB live, 37.9MiB allocated; 9ms collecting garbage

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 (*.f64 x x) #s(literal 3 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.078125	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Samples

17.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-mult: 8.0ms (70.2% of total)

ival-div: 2.0ms (17.6% of total)

ival-sub: 1.0ms (8.8% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

5.5MiB live, 5.5MiB allocated; 0ms collecting garbage

Counts

3 → 9

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (- (* x x) 3) #s(hole binary64 -3))
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))
1.0ms	x	@	0	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))
0.0ms	x	@	-inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (* x x))

simplify133.0ms (6.4%)

Memory

-45.6MiB live, 70.6MiB allocated; 58ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	97
1	60	97
2	196	97
3	881	97
4	4787	97
0	8369	85

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 9

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (- (* x x) 3) #s(hole binary64 -3))
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (- (* x x) 3) #s(hole binary64 -3))
#s(approx (- (* x x) 3) #s(literal -3 binary64))
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) (*.f64 x x))
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))

rewrite45.0ms (2.1%)

Memory

-0.5MiB live, 44.0MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	37	15
0	244	15

Stop Event

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

Counts

3 → 32

Calls

Call 1

Inputs
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 x x)

Outputs
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) (/.f64 (*.f64 x x) #s(literal 6 binary64))) #s(literal 1/4 binary64)) (fma.f64 x (/.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (fma.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) (/.f64 (.f64 x x) #s(literal 6 binary64)) (+.f64 #s(literal 1/4 binary64) (.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))) #s(literal 6 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal -6 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -6 binary64)))
(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (neg.f64 (fma.f64 x x #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (neg.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 27 binary64) (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (*.f64 x x) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 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 (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)))

eval4.0ms (0.2%)

Memory: 9.9MiB live, 9.9MiB allocated; 0ms collecting garbage
Compiler: Compiled 455 to 143 computations (68.6% saved)

prune4.0ms (0.2%)

Memory

9.4MiB live, 9.4MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	32	7	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	7	40

Accuracy

100.0%

Counts

40 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
	99.9%	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
▶	49.1%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	99.9%	(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))
▶	49.1%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	99.8%	#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
▶	50.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 150 to 120 computations (20% saved)

simplify18.0ms (0.9%)

Memory

-22.4MiB live, 21.0MiB allocated; 8ms collecting garbage

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (* x x) 3) (*.f64 x x))
cost-diff	0	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
cost-diff	0	(fma.f64 x x #s(literal -3 binary64))
cost-diff	0	(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (*.f64 x x) #s(literal 6 binary64))
cost-diff	1	(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	103
0	28	103
1	44	103
2	86	103
3	173	99
4	265	99
5	328	99
6	352	99
7	367	99
8	376	99
9	380	99
0	380	99

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(*.f64 x x)
x
#s(literal 6 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
#s(literal 1/6 binary64)
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))
(*.f64 x x)
x
#s(literal 6 binary64)

Outputs
(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(*.f64 x x)
x
#s(literal 6 binary64)
#s(literal 1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64)))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
(*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))
(*.f64 x x)
x
#s(literal 6 binary64)

localize46.0ms (2.2%)

Memory

38.7MiB live, 92.0MiB allocated; 12ms collecting garbage

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x x)
accuracy	0.078125	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
accuracy	32.48988964545509	#s(approx (- (* x x) 3) (*.f64 x x))
accuracy	0.0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.0	#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
accuracy	0.10546875	(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.1875	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	32.48800613143148	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	31.40649148591782	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
accuracy	0.0	(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.1640625	(/.f64 (*.f64 x x) #s(literal 6 binary64))

Samples

36.0ms

256×

valid

Compiler

Compiled 84 to 17 computations (79.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 5.0ms (31.8% of total)

ival-div: 3.0ms (19.1% of total)

const: 3.0ms (19.1% of total)

ival-sub: 2.0ms (12.7% of total)

ival-add: 1.0ms (6.4% of total)

exact: 1.0ms (6.4% of total)

adjust: 0.0ms (0% of total)

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

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

series9.0ms (0.4%)

Memory

-39.1MiB live, 6.2MiB allocated; 13ms collecting garbage

Counts

11 → 23

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(*.f64 x x)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
(fma.f64 x x #s(literal -3 binary64))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))

Outputs
#s(approx (- (/ (* x x) 6) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ (* x x) 6) 1/2) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (* x x) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 -1/2))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (+ (* x x) -3) #s(hole binary64 -3))
#s(approx (+ (* x x) -3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (- (* x x) 3) #s(hole binary64 -3))
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (- (/ (* x x) 6) 1/2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (- (/ (* x x) 6) 1/2) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) -3) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	((- (/ (* x x) 6) 1/2) (/ (* x x) 6) (* x x) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (/ (- (* x x) 3) 6) (* 1/6 (+ (* x x) -3)) (+ (* x x) -3) (/ (- (* x x) 3) 6) (- (* x x) 3))
2.0ms	x	@	inf	((- (/ (* x x) 6) 1/2) (/ (* x x) 6) (* x x) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (/ (- (* x x) 3) 6) (* 1/6 (+ (* x x) -3)) (+ (* x x) -3) (/ (- (* x x) 3) 6) (- (* x x) 3))
1.0ms	x	@	-inf	((- (/ (* x x) 6) 1/2) (/ (* x x) 6) (* x x) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (/ (- (* x x) 3) 6) (* 1/6 (+ (* x x) -3)) (+ (* x x) -3) (/ (- (* x x) 3) 6) (- (* x x) 3))

Time

Variable

Point

Expression

6.0ms

((- (/ (* x x) 6) 1/2) (/ (* x x) 6) (* x x) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (/ (- (* x x) 3) 6) (* 1/6 (+ (* x x) -3)) (+ (* x x) -3) (/ (- (* x x) 3) 6) (- (* x x) 3))

2.0ms

inf

((- (/ (* x x) 6) 1/2) (/ (* x x) 6) (* x x) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (/ (- (* x x) 3) 6) (* 1/6 (+ (* x x) -3)) (+ (* x x) -3) (/ (- (* x x) 3) 6) (- (* x x) 3))

1.0ms

-inf

((- (/ (* x x) 6) 1/2) (/ (* x x) 6) (* x x) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (/ (- (* x x) 3) 6) (* 1/6 (+ (* x x) -3)) (+ (* x x) -3) (/ (- (* x x) 3) 6) (- (* x x) 3))

simplify114.0ms (5.5%)

Memory

24.1MiB live, 166.2MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	51	261
1	93	261
2	243	261
3	1035	261
4	5222	261
0	8279	231

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 23

Calls

Call 1

Inputs
#s(approx (- (/ (* x x) 6) 1/2) #s(hole binary64 -1/2))
#s(approx (- (/ (* x x) 6) 1/2) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (/ (* x x) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (* (* x x) 1/6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 -1/2))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (+ (* x x) -3) #s(hole binary64 -3))
#s(approx (+ (* x x) -3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (- (* x x) 3) #s(hole binary64 -3))
#s(approx (- (* x x) 3) #s(hole binary64 (- (pow x 2) 3)))
#s(approx (- (/ (* x x) 6) 1/2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (- (/ (* x x) 6) 1/2) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* 1/6 (+ (* x x) -3)) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* x x) -3) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x x) -3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))
#s(approx (- (* x x) 3) #s(hole binary64 (pow x 2)))
#s(approx (- (* x x) 3) #s(hole binary64 (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))))

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

rewrite39.0ms (1.9%)

Memory

-1.5MiB live, 44.0MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	86
0	28	86
1	92	86
0	571	86

Stop Event

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

Counts

11 → 91

Calls

Call 1

Inputs
(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(*.f64 x x)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
(fma.f64 x x #s(literal -3 binary64))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))

Outputs
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64))) (neg.f64 (/.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))) #s(literal 6 binary64))
(/.f64 (-.f64 (.f64 (.f64 (neg.f64 x) x) #s(literal 6 binary64)) #s(literal -18 binary64)) #s(literal -36 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (/.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64)))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal -6 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -6 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (/.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal 1/4 binary64) (/.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)))))
(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) #s(literal 6 binary64)))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 6 binary64)))
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -6 binary64))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(neg.f64 (/.f64 (*.f64 (neg.f64 x) x) #s(literal 6 binary64)))
(neg.f64 (/.f64 (*.f64 x x) #s(literal -6 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 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 (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))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/6 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64)))
(*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1/6 binary64)) (-.f64 (.f64 x x) #s(literal -3 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/6 binary64)) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal 1/6 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (-.f64 (.f64 x x) #s(literal -3 binary64)))
(/.f64 (.f64 #s(literal 1/6 binary64) (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x))) #s(literal 1/4 binary64)) (-.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(/.f64 (+.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))
(-.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(/.f64 (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -3 binary64) (*.f64 x x)))
(/.f64 (neg.f64 (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64)))) (neg.f64 (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (neg.f64 (-.f64 (*.f64 x x) #s(literal -3 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (-.f64 (*.f64 x x) #s(literal -3 binary64)))
(/.f64 (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal -3 binary64) (.f64 x x)))))
(/.f64 (+.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) #s(literal -3 binary64))
(fma.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)) #s(literal -3 binary64))
(fma.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)) #s(literal -3 binary64))
(fma.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)) #s(literal -3 binary64))
(fma.f64 (neg.f64 x) (neg.f64 x) #s(literal -3 binary64))
(fma.f64 (fabs.f64 x) (fabs.f64 x) #s(literal -3 binary64))
(fma.f64 x x #s(literal -3 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (.f64 x x) #s(literal -3 binary64))) (/.f64 #s(literal 9 binary64) (-.f64 (.f64 x x) #s(literal -3 binary64))))
(-.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x) x))
(+.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -27 binary64) (fma.f64 #s(literal -3 binary64) (-.f64 #s(literal -3 binary64) (.f64 x x)) (pow.f64 x #s(literal 4 binary64)))))
(+.f64 #s(literal -3 binary64) (*.f64 x x))
(+.f64 (*.f64 x x) #s(literal -3 binary64))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* x x) 3) (*.f64 x x)))) #s(literal 6 binary64))
(/.f64 (neg.f64 #s(approx (- (* x x) 3) (*.f64 x x))) #s(literal -6 binary64))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (* x x) 3) (*.f64 x x))) #s(literal 6 binary64)))
(neg.f64 (/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal -6 binary64)))
#s(approx (- (* x x) 3) (*.f64 x x))

eval12.0ms (0.6%)

Memory: 22.1MiB live, 22.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 850 to 356 computations (80.8% saved)

prune17.0ms (0.8%)

Memory

-31.8MiB live, 13.6MiB allocated; 5ms collecting garbage

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	122	3	125
Fresh	2	0	2
Picked	2	3	5
Done	0	0	0
Total	126	6	132

Accuracy

100.0%

Counts

132 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.1%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	99.9%	(-.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal 1/2 binary64))
▶	99.8%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
✓	49.1%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	49.1%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	50.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 67 to 53 computations (20.9% saved)

simplify9.0ms (0.4%)

Memory

12.9MiB live, 12.9MiB allocated; 0ms collecting garbage

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 x #s(literal 6 binary64))
cost-diff	0	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
cost-diff	0	(-.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal 1/2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
cost-diff	0	(*.f64 #s(literal 1/6 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	67
0	26	67
1	40	67
2	77	67
3	161	67
4	234	67
5	248	67
6	255	67
7	263	67
8	273	67
9	279	67
0	279	67

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
(-.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
(/.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 1/2 binary64)

Outputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
#s(literal -1/2 binary64)
(-.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
(/.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal 1/2 binary64)

localize45.0ms (2.2%)

Memory

18.2MiB live, 118.7MiB allocated; 9ms collecting garbage

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 x #s(literal 6 binary64))
accuracy	0.0	(-.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal 1/2 binary64))
accuracy	0.10546875	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
accuracy	0.0	(*.f64 x x)
accuracy	0.0	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
accuracy	0.09765625	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
accuracy	0.10546875	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
accuracy	0.328125	(*.f64 #s(literal 1/6 binary64) x)
accuracy	32.48800613143148	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Samples

33.0ms

256×

valid

Compiler

Compiled 57 to 18 computations (68.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 10.0ms (46.4% of total)

ival-div: 3.0ms (13.9% of total)

const: 3.0ms (13.9% of total)

ival-sub: 2.0ms (9.3% of total)

ival-add: 1.0ms (4.6% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.2%)

Memory

-33.9MiB live, 12.6MiB allocated; 3ms collecting garbage

Counts

9 → 17

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(*.f64 x x)
(-.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
(/.f64 x #s(literal 6 binary64))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (* (* 1/6 x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (* (/ x 6) x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (/ x 6) x) 1/2) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (* (/ x 6) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ x 6) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* (/ x 6) x) 1/2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (- (* (/ x 6) x) 1/2) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (* x x) (- (* (/ x 6) x) 1/2) (* (/ x 6) x) (/ x 6))

1.0ms

-inf

((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (* x x) (- (* (/ x 6) x) 1/2) (* (/ x 6) x) (/ x 6))

1.0ms

inf

((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (* x x) (- (* (/ x 6) x) 1/2) (* (/ x 6) x) (/ x 6))

simplify123.0ms (5.9%)

Memory

34.0MiB live, 227.4MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	199
1	71	199
2	178	199
3	603	199
4	3230	199
0	8263	181

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 17

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 -1/2))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (* (* 1/6 x) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (* 1/6 x) #s(hole binary64 (* 1/6 x)))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 -1/2))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (- (* (/ x 6) x) 1/2) #s(hole binary64 -1/2))
#s(approx (- (* (/ x 6) x) 1/2) #s(hole binary64 (- (* 1/6 (pow x 2)) 1/2)))
#s(approx (* (/ x 6) x) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ x 6) #s(hole binary64 (* 1/6 x)))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (/ (- (* x x) 3) 6) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (+ (* (* x x) 1/6) -1/2) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))
#s(approx (- (* (/ x 6) x) 1/2) #s(hole binary64 (* 1/6 (pow x 2))))
#s(approx (- (* (/ x 6) x) 1/2) #s(hole binary64 (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))))

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

rewrite45.0ms (2.1%)

Memory

-28.3MiB live, 115.6MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	59
0	26	59
1	88	59
0	585	59

Stop Event

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

Counts

9 → 76

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(*.f64 x x)
(-.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
(/.f64 x #s(literal 6 binary64))

Outputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (neg.f64 x) (.f64 (neg.f64 x) #s(literal 1/6 binary64)))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64))))))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (-.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (*.f64 x x) #s(literal -1/12 binary64)))))
(/.f64 (fma.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -1/2 binary64))
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (-.f64 (.f64 (*.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(-.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 (.f64 x x)) #s(literal 1/6 binary64)))
(-.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 (.f64 #s(literal 1/6 binary64) x)) x))
(-.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (.f64 x x)))
(-.f64 #s(literal -1/2 binary64) (.f64 (neg.f64 x) (.f64 #s(literal 1/6 binary64) x)))
(+.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/12 binary64))))))
(+.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 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 (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 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64))) (neg.f64 (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) #s(literal 1/8 binary64))) (neg.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))) #s(literal 6 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) #s(literal 1/4 binary64)) (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (*.f64 (fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64)))
(/.f64 (-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) #s(literal 1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal -6 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -6 binary64)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal 1/2 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 216 binary64)) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)))))
(-.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal 1/2 binary64))
(*.f64 (neg.f64 x) (/.f64 (neg.f64 x) #s(literal 6 binary64)))
(*.f64 (fabs.f64 x) (/.f64 (fabs.f64 x) #s(literal 6 binary64)))
(*.f64 (/.f64 x #s(literal 6 binary64)) x)
(*.f64 x (/.f64 x #s(literal 6 binary64)))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -6 binary64))
(/.f64 (*.f64 x (neg.f64 x)) #s(literal -6 binary64))
(/.f64 (neg.f64 (*.f64 x x)) #s(literal -6 binary64))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 (neg.f64 (neg.f64 x)) #s(literal 6 binary64))
(/.f64 (neg.f64 x) #s(literal -6 binary64))
(/.f64 x #s(literal 6 binary64))
(neg.f64 (/.f64 (neg.f64 x) #s(literal 6 binary64)))
(neg.f64 (/.f64 x #s(literal -6 binary64)))

eval10.0ms (0.5%)

Memory: -10.5MiB live, 35.1MiB allocated; 3ms collecting garbage
Compiler: Compiled 1 225 to 260 computations (78.8% saved)

prune5.0ms (0.2%)

Memory

25.1MiB live, 25.2MiB allocated; 0ms collecting garbage

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	3	3
Done	0	3	3
Total	81	6	87

Accuracy

100.0%

Counts

87 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	49.1%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
✓	99.9%	(-.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal 1/2 binary64))
✓	99.8%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
✓	49.1%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	49.1%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	50.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 183 to 93 computations (49.2% saved)

regimes14.0ms (0.7%)

Memory

2.9MiB live, 48.9MiB allocated; 3ms collecting garbage

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
(-.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))

Outputs
(-.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal 1/2 binary64))

Calls

4 calls:

4.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
3.0ms	x
3.0ms	(*.f64 x x)
3.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f64 x x)`
99.9%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.9%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.9%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes26.0ms (1.3%)

Memory

-17.1MiB live, 30.3MiB allocated; 1ms collecting garbage

Counts

7 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))

Outputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))

Calls

4 calls:

19.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`(*.f64 x x)`
99.9%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.9%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.9%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes80.0ms (3.8%)

Memory

-15.0MiB live, 37.2MiB allocated; 3ms collecting garbage

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))

Outputs
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))

Calls

4 calls:

73.0ms	(*.f64 x x)
2.0ms	x
2.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
2.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.8%	1	`(*.f64 x x)`
99.8%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.8%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.8%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes7.0ms (0.3%)

Memory

26.9MiB live, 26.9MiB allocated; 0ms collecting garbage

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))

Outputs
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))

Calls

4 calls:

2.0ms	x
2.0ms	(*.f64 x x)
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.8%	1	`(*.f64 x x)`
99.8%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.8%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.8%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes37.0ms (1.8%)

Memory

-17.6MiB live, 27.9MiB allocated; 3ms collecting garbage

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 #s(literal 1/6 binary64) x) x))

#s(approx (/ (- (* x x) 3) 6) (*.f64 (*.f64 x x) #s(literal 1/6 binary64)))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Calls

4 calls:

32.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
2.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Results

Accuracy	Segments	Branch
98.2%	2	`(*.f64 x x)`
98.2%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
98.2%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
98.2%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes4.0ms (0.2%)

Memory

17.0MiB live, 17.0MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Outputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Calls

4 calls:

1.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
50.9%	1	`(*.f64 x x)`
50.9%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
50.9%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
50.9%	1	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch34.0ms (1.6%)

Memory

-12.8MiB live, 31.7MiB allocated; 3ms collecting garbage

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
32.0ms	0.4916708481587397	94.36781108304396

Samples

5.0ms

112×

valid

Compiler

Compiled 164 to 150 computations (8.5% saved)

Precisions

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

ival-sub: 1.0ms (39.7% of total)

ival-div: 1.0ms (39.7% of total)

ival-mult: 1.0ms (39.7% 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)

simplify14.0ms (0.7%)

Memory

37.2MiB live, 37.2MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	82
1	37	82
2	61	82
3	91	82
4	119	82
5	136	82
6	147	82
7	151	82
8	158	82
9	166	82
10	174	82

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 7/4 binary64)) #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Outputs
(-.f64 (*.f64 (/.f64 x #s(literal 6 binary64)) x) #s(literal 1/2 binary64))
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
#s(approx (/ (- (* x x) 3) 6) (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(if (<=.f64 x #s(literal 7/4 binary64)) #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x)))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

derivations168.0ms (8%)

Memory

-40.8MiB live, 154.4MiB allocated; 12ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 82 to 29 computations (64.6% saved)

preprocess43.0ms (2%)

Memory: 20.0MiB live, 66.2MiB allocated; 5ms collecting garbage
Remove: (abs x)
Compiler: Compiled 192 to 82 computations (57.3% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	11	21
1	30	21
2	58	21
3	90	21
4	135	21
5	145	21
6	149	21
7	152	21
0	6	7
0	9	7
1	17	7
2	36	7
3	65	7
4	94	7
5	109	7
6	117	7
7	125	7
8	131	7
9	135	7
0	135	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	17	18
2	36	18
3	65	18
4	94	18
5	109	18
6	117	18
7	125	18
8	131	18
9	135	18
0	135	18

Iter	Nodes	Cost
0	21	103
0	28	103
1	44	103
2	86	103
3	173	99
4	265	99
5	328	99
6	352	99
7	367	99
8	376	99
9	380	99
0	380	99

Iter	Nodes	Cost
0	18	67
0	26	67
1	40	67
2	77	67
3	161	67
4	234	67
5	248	67
6	255	67
7	263	67
8	273	67
9	279	67
0	279	67

Iter	Nodes	Cost
0	28	82
1	37	82
2	61	82
3	91	82
4	119	82
5	136	82
6	147	82
7	151	82
8	158	82
9	166	82
10	174	82

Iter	Nodes	Cost
0	11	21
1	30	21
2	58	21
3	90	21
4	135	21
5	145	21
6	149	21
7	152	21
0	6	7
0	9	7
1	17	7
2	36	7
3	65	7
4	94	7
5	109	7
6	117	7
7	125	7
8	131	7
9	135	7
0	135	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	17	18
2	36	18
3	65	18
4	94	18
5	109	18
6	117	18
7	125	18
8	131	18
9	135	18
0	135	18

Iter	Nodes	Cost
0	21	103
0	28	103
1	44	103
2	86	103
3	173	99
4	265	99
5	328	99
6	352	99
7	367	99
8	376	99
9	380	99
0	380	99

Iter	Nodes	Cost
0	18	67
0	26	67
1	40	67
2	77	67
3	161	67
4	234	67
5	248	67
6	255	67
7	263	67
8	273	67
9	279	67
0	279	67

Iter	Nodes	Cost
0	28	82
1	37	82
2	61	82
3	91	82
4	119	82
5	136	82
6	147	82
7	151	82
8	158	82
9	166	82
10	174	82

start0.0ms (0%)

analyze0.0ms (0%)

sample780.0ms (37.4%)

explain113.0ms (5.4%)

preprocess54.0ms (2.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.3%)

localize22.0ms (1.1%)

series2.0ms (0.1%)

simplify133.0ms (6.4%)

rewrite45.0ms (2.1%)

eval4.0ms (0.2%)

prune4.0ms (0.2%)

simplify18.0ms (0.9%)

localize46.0ms (2.2%)

series9.0ms (0.4%)

simplify114.0ms (5.5%)

rewrite39.0ms (1.9%)

eval12.0ms (0.6%)

prune17.0ms (0.8%)

simplify9.0ms (0.4%)

localize45.0ms (2.2%)

series5.0ms (0.2%)

simplify123.0ms (5.9%)

rewrite45.0ms (2.1%)

eval10.0ms (0.5%)

prune5.0ms (0.2%)

regimes14.0ms (0.7%)

regimes26.0ms (1.3%)

regimes80.0ms (3.8%)

regimes7.0ms (0.3%)

regimes37.0ms (1.8%)

regimes4.0ms (0.2%)

bsearch34.0ms (1.6%)

simplify14.0ms (0.7%)

derivations168.0ms (8%)

preprocess43.0ms (2%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	11	21
1	30	21
2	58	21
3	90	21
4	135	21
5	145	21
6	149	21
7	152	21
0	6	7
0	9	7
1	17	7
2	36	7
3	65	7
4	94	7
5	109	7
6	117	7
7	125	7
8	131	7
9	135	7
0	135	7

Iter	Nodes	Cost
0	6	18
0	9	18
1	17	18
2	36	18
3	65	18
4	94	18
5	109	18
6	117	18
7	125	18
8	131	18
9	135	18
0	135	18

Iter	Nodes	Cost
0	21	103
0	28	103
1	44	103
2	86	103
3	173	99
4	265	99
5	328	99
6	352	99
7	367	99
8	376	99
9	380	99
0	380	99

Iter	Nodes	Cost
0	18	67
0	26	67
1	40	67
2	77	67
3	161	67
4	234	67
5	248	67
6	255	67
7	263	67
8	273	67
9	279	67
0	279	67

Iter	Nodes	Cost
0	28	82
1	37	82
2	61	82
3	91	82
4	119	82
5	136	82
6	147	82
7	151	82
8	158	82
9	166	82
10	174	82