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)

sample746.0ms (27.4%)

Memory

-11.1MiB live, 1 305.2MiB allocated; 226ms collecting garbage

Samples

495.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 238.0ms

ival-mult: 98.0ms (41.1% of total)

ival-div: 65.0ms (27.3% of total)

ival-sub: 56.0ms (23.5% of total)

exact: 9.0ms (3.8% of total)

ival-true: 6.0ms (2.5% of total)

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

adjust: 2.0ms (0.8% of total)

Bogosity

explain72.0ms (2.6%)

Memory

23.0MiB live, 123.2MiB allocated; 15ms 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

26.0ms

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 (35.2% of total)

ival-sub: 3.0ms (26.4% of total)

ival-div: 3.0ms (26.4% of total)

exact: 1.0ms (8.8% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess21.0ms (0.8%)

Memory

-15.8MiB live, 29.1MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	26	14
2	55	14
3	87	14
4	132	14
5	142	14
6	146	14
7	149	14
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: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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 (0.2%)

Memory

9.8MiB live, 9.8MiB 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)

localize21.0ms (0.8%)

Memory

-13.0MiB live, 31.8MiB allocated; 5ms 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	0.08203125	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Samples

16.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-sub: 2.0ms (30.7% of total)

ival-div: 2.0ms (30.7% of total)

ival-mult: 2.0ms (30.7% 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)

series2.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated; 0ms collecting garbage

Counts

3 → 8

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

simplify109.0ms (4%)

Memory

8.8MiB live, 147.0MiB allocated; 25ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	34
1	38	34
2	109	34
3	458	34
4	3811	34
0	8399	30

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 8

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(pow x 2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))

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

rewrite40.0ms (1.5%)

Memory

3.7MiB live, 48.0MiB 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: 7.4MiB live, 7.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 444 to 141 computations (68.2% saved)

prune5.0ms (0.2%)

Memory

9.7MiB live, 9.7MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	30	8	38
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	31	8	39

Accuracy

100.0%

Counts

39 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.2%	(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 x x #s(literal 3 binary64))) #s(literal 6 binary64))
▶	62.6%	(/.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)))
▶	66.1%	(/.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)))
	99.5%	(/.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))
▶	99.8%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64)))
	50.1%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	50.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 196 to 156 computations (20.4% saved)

simplify211.0ms (7.8%)

Memory

-42.4MiB live, 73.9MiB allocated; 128ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.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))
cost-diff	0	(pow.f64 x #s(literal 6 binary64))
cost-diff	0	(-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))
cost-diff	0	(/.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)))
cost-diff	0	(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
cost-diff	0	(pow.f64 x #s(literal 4 binary64))
cost-diff	0	(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
cost-diff	0	(/.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)))
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	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 x x #s(literal -3 binary64))
cost-diff	0	#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
cost-diff	0	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	157
0	45	157
1	78	157
2	207	157
3	498	157
4	946	157
5	1456	157
6	1854	157
7	2262	157
8	2787	157
9	3043	157
10	3188	157
11	3306	157
12	3327	157
0	3327	157

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(fma.f64 x x #s(literal -3 binary64))
x
#s(literal -3 binary64)
#s(literal 6 binary64)
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
#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 (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 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 binary64))
x
#s(literal 4 binary64)
#s(literal 9 binary64)
(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
(fma.f64 x x #s(literal 3 binary64))
#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 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))
(pow.f64 x #s(literal 6 binary64))
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))
(fma.f64 #s(literal 3 binary64) (fma.f64 x x #s(literal 3 binary64)) (pow.f64 x #s(literal 4 binary64)))
#s(literal 3 binary64)
(fma.f64 x x #s(literal 3 binary64))
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)

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

localize67.0ms (2.4%)

Memory

33.1MiB live, 77.6MiB allocated; 6ms collecting garbage

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0	(-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))
accuracy	0.04296875	(*.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))
accuracy	20.36339120897717	(/.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)))
accuracy	0.0	(pow.f64 x #s(literal 4 binary64))
accuracy	0.0	(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
accuracy	0.08203125	(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
accuracy	18.472276451027145	(/.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)))
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	0.11328125	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
accuracy	31.393890801468604	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
accuracy	0.0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.0	#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
accuracy	0.08203125	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))

Samples

50.0ms

256×

valid

Compiler

Compiled 152 to 28 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 8.0ms (26% of total)

ival-div: 5.0ms (16.2% of total)

ival-add: 5.0ms (16.2% of total)

ival-pow: 5.0ms (16.2% of total)

ival-sub: 4.0ms (13% of total)

const: 4.0ms (13% of total)

exact: 1.0ms (3.2% of total)

adjust: 0.0ms (0% of total)

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

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

series15.0ms (0.6%)

Memory

-32.4MiB live, 12.4MiB allocated; 10ms collecting garbage

Counts

15 → 26

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(fma.f64 x x #s(literal -3 binary64))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#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 (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 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 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 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))
(pow.f64 x #s(literal 6 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))

Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(pow x 2)
-9
(- (pow x 4) 9)
(pow x 4)
18
(+ 18 (* 6 (pow x 2)))
-27
(- (pow x 6) 27)
(pow x 6)
54
(+ 54 (* 18 (pow x 2)))
(+ 54 (* (pow x 2) (+ 18 (* 6 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(* 6 (pow x 2))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(* (pow x 6) (- 1 (* 27 (/ 1 (pow x 6)))))
(* 6 (pow x 4))
(* (pow x 4) (+ 6 (* 18 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))))

Calls

3 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (* x x) (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (- (pow x 4) 9) (pow x 4) (* (+ (* x x) 3) 6) (/ (- (pow x 6) 27) (* (+ (* 3 (+ (* x x) 3)) (pow x 4)) 6)) (- (pow x 6) 27) (pow x 6) (* (+ (* 3 (+ (* x x) 3)) (pow x 4)) 6))
3.0ms	x	@	inf	((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (* x x) (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (- (pow x 4) 9) (pow x 4) (* (+ (* x x) 3) 6) (/ (- (pow x 6) 27) (* (+ (* 3 (+ (* x x) 3)) (pow x 4)) 6)) (- (pow x 6) 27) (pow x 6) (* (+ (* 3 (+ (* x x) 3)) (pow x 4)) 6))
2.0ms	x	@	0	((/ (- (* x x) 3) 6) (- (* x x) 3) (+ (* x x) -3) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (* x x) (/ (- (pow x 4) 9) (* (+ (* x x) 3) 6)) (- (pow x 4) 9) (pow x 4) (* (+ (* x x) 3) 6) (/ (- (pow x 6) 27) (* (+ (* 3 (+ (* x x) 3)) (pow x 4)) 6)) (- (pow x 6) 27) (pow x 6) (* (+ (* 3 (+ (* x x) 3)) (pow x 4)) 6))

Time

Variable

Point

Expression

9.0ms

-inf

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

3.0ms

inf

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

2.0ms

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

simplify123.0ms (4.5%)

Memory

9.1MiB live, 103.4MiB allocated; 20ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	136
1	137	136
2	395	136
3	1607	136
0	8647	125

Stop Event

1×	iter limit
1×	node limit

Counts

26 → 26

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(pow x 2)
-9
(- (pow x 4) 9)
(pow x 4)
18
(+ 18 (* 6 (pow x 2)))
-27
(- (pow x 6) 27)
(pow x 6)
54
(+ 54 (* 18 (pow x 2)))
(+ 54 (* (pow x 2) (+ 18 (* 6 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(* 6 (pow x 2))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(* (pow x 6) (- 1 (* 27 (/ 1 (pow x 6)))))
(* 6 (pow x 4))
(* (pow x 4) (+ 6 (* 18 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(pow x 2)
(*.f64 x x)
-9
#s(literal -9 binary64)
(- (pow x 4) 9)
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow x 4)
(pow.f64 x #s(literal 4 binary64))
18
#s(literal 18 binary64)
(+ 18 (* 6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))
-27
#s(literal -27 binary64)
(- (pow x 6) 27)
(-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))
(pow x 6)
(pow.f64 x #s(literal 6 binary64))
54
#s(literal 54 binary64)
(+ 54 (* 18 (pow x 2)))
(fma.f64 #s(literal 18 binary64) (*.f64 x x) #s(literal 54 binary64))
(+ 54 (* (pow x 2) (+ 18 (* 6 (pow x 2)))))
(fma.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64)) x) x #s(literal 54 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(* 6 (pow x 2))
(.f64 (.f64 x x) #s(literal 6 binary64))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal 18 binary64))
(* (pow x 6) (- 1 (* 27 (/ 1 (pow x 6)))))
(-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))
(* 6 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64))
(* (pow x 4) (+ 6 (* 18 (/ 1 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64) (.f64 #s(literal 18 binary64) (.f64 x x)))
(* (pow x 4) (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))))
(fma.f64 (+.f64 (/.f64 #s(literal 54 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64)) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 18 binary64) (.f64 x x)))

rewrite92.0ms (3.4%)

Memory

16.5MiB live, 60.7MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	120
0	45	105
1	181	105
0	1296	105

Stop Event

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

Counts

15 → 224

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(fma.f64 x x #s(literal -3 binary64))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#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 (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 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))
(pow.f64 x #s(literal 4 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 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))
(pow.f64 x #s(literal 6 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))

Outputs
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))))) #s(literal 6 binary64))
(/.f64 (neg.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -6 binary64))
(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))) #s(literal 6 binary64)))
(neg.f64 (/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal -6 binary64)))
#s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64)))
(/.f64 (-.f64 #s(literal 9 binary64) (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))) (+.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (.f64 x x) #s(literal -3 binary64)))))
(/.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))))
(/.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 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 binary64)) (.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (-.f64 (.f64 x x) #s(literal -3 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (.f64 (fma.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (pow.f64 x #s(literal 8 binary64))) (-.f64 (.f64 x x) #s(literal -3 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)))
(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 (neg.f64 x)) (neg.f64 x)))
(-.f64 #s(literal -3 binary64) (*.f64 (neg.f64 (fabs.f64 x)) (fabs.f64 x)))
(-.f64 #s(literal -3 binary64) (*.f64 (neg.f64 x) x))
(-.f64 #s(literal -3 binary64) (*.f64 x (neg.f64 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 (*.f64 x x) #s(literal -3 binary64))
(+.f64 #s(literal -3 binary64) (*.f64 x x))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #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 #s(literal 1/6 binary64) (*.f64 x x))))
(/.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 #s(literal 1/6 binary64) (.f64 x x)) #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 #s(literal 1/6 binary64) (.f64 x x)) #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 (*.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 (.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 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 #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 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 #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 (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)))
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(/.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 (-.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 9/2 binary64) (fma.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 (/.f64 #s(literal 9/2 binary64) (fma.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 9/2 binary64) (fma.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 9/2 binary64) (fma.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (neg.f64 (*.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))) #s(literal 6 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))) (neg.f64 (*.f64 #s(literal -6 binary64) (fma.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))) (.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) #s(literal 9 binary64))) (.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) (*.f64 (fma.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 (.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64))) (.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64)) #s(literal 27 binary64))) (.f64 (.f64 (fma.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 81 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 12 binary64)) #s(literal 729 binary64)) (.f64 (fma.f64 #s(literal 9 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -9 binary64)) (pow.f64 x #s(literal 8 binary64))) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (.f64 (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (fma.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 19683 binary64)) (.f64 (fma.f64 #s(literal 27 binary64) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))) (.f64 (fma.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal -6 binary64))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (*.f64 #s(literal -6 binary64) (fma.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (*.f64 (fma.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64) (pow.f64 x #s(literal 4 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 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(neg.f64 (/.f64 (neg.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))))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))) (*.f64 (fma.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64))))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -6 binary64)))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)) (*.f64 #s(literal -6 binary64) (fma.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal 3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 6 binary64)) (fma.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 9/2 binary64) (fma.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (fma.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (.f64 x x) #s(literal 3 binary64)))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64))) (neg.f64 (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 19683 binary64))) (neg.f64 (fma.f64 #s(literal 27 binary64) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 729 binary64)) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 19683 binary64)) (fma.f64 #s(literal 27 binary64) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 729 binary64) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (fma.f64 #s(literal 27 binary64) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64)))) (/.f64 #s(literal 19683 binary64) (fma.f64 #s(literal 27 binary64) (+.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 x #s(literal 12 binary64)))))
(-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64))
(.f64 (pow.f64 (.f64 x x) #s(literal 3/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/2 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (fabs.f64 (pow.f64 x #s(literal 3 binary64))) (fabs.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 (fabs.f64 x) #s(literal 3 binary64)) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x))
(.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
(pow.f64 x #s(literal 6 binary64))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 6 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 6 binary64))))
(*.f64 (fma.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) (fma.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64))) #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) x) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64))) (pow.f64 (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal 6 binary64) (-.f64 (pow.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 8 binary64)))) (fma.f64 (*.f64 #s(literal 3 binary64) x) x (-.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (.f64 #s(literal 6 binary64) (fma.f64 (pow.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 x #s(literal 12 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64))) (pow.f64 (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 2 binary64))))
(fma.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 6 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64) (.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 6 binary64)))
(fma.f64 #s(literal 6 binary64) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64)) (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))))
(fma.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 6 binary64) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64))))
(+.f64 (.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 6 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)))
(+.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (.f64 (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 6 binary64)))
(+.f64 (.f64 #s(literal 6 binary64) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (.f64 #s(literal 6 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal 6 binary64) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 3 binary64))))

eval43.0ms (1.6%)

Memory: -7.5MiB live, 37.3MiB allocated; 6ms collecting garbage
Compiler: Compiled 4 663 to 762 computations (83.7% saved)

prune7.0ms (0.3%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	226	4	230
Fresh	1	2	3
Picked	3	2	5
Done	0	0	0
Total	230	8	238

Accuracy

100.0%

Counts

238 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	66.1%	(/.f64 (fma.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x) #s(literal -9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
▶	66.1%	(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
	17.2%	(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(approx (* (+ (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 6 binary64))))
▶	99.5%	(/.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))
▶	99.8%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
▶	50.1%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	50.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 195 to 145 computations (25.6% saved)

simplify138.0ms (5.1%)

Memory

-20.9MiB live, 127.3MiB allocated; 12ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (fma.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x) #s(literal -9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
cost-diff	2	(.f64 (.f64 x x) (neg.f64 x))
cost-diff	3	(fma.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x) #s(literal -9 binary64))
cost-diff	0	(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
cost-diff	3	(fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 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 18 binary64))
cost-diff	2	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 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	(*.f64 #s(literal 1/6 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	169
0	46	162
1	92	156
2	267	148
3	975	148
4	2621	148
5	3851	148
6	4413	148
7	4677	148
8	5498	148
0	8143	145

Stop Event

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

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#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)
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))
(.f64 (.f64 x x) #s(literal 6 binary64))
(*.f64 x x)
x
#s(literal 6 binary64)
#s(literal 18 binary64)
#s(literal 36 binary64)
(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))
(*.f64 x x)
x
#s(literal -9 binary64)
(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
(fma.f64 x x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 6 binary64)
(/.f64 (fma.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x) #s(literal -9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(fma.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x) #s(literal -9 binary64))
(.f64 (.f64 x x) (neg.f64 x))
(*.f64 x x)
x
(neg.f64 x)
#s(literal -9 binary64)
(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
(fma.f64 x x #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 6 binary64)

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

localize128.0ms (4.7%)

Memory

-1.7MiB live, 140.0MiB allocated; 9ms collecting garbage

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.03125	(fma.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x) #s(literal -9 binary64))
accuracy	0.08203125	(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
accuracy	0.09765625	(.f64 (.f64 x x) (neg.f64 x))
accuracy	18.472276451027145	(/.f64 (fma.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x) #s(literal -9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
accuracy	0.0	(*.f64 x x)
accuracy	0.08203125	(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
accuracy	0.08984375	(fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))
accuracy	18.472276451027145	(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
accuracy	0.0	(-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.15462875976844204	(.f64 (.f64 x x) #s(literal 6 binary64))
accuracy	0.28645153645477983	(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.21875	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	31.823549649342347	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0.0	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
accuracy	0.0546875	(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
accuracy	0.34375	(*.f64 #s(literal 1/6 binary64) x)

Samples

108.0ms

256×

valid

Compiler

Compiled 169 to 30 computations (82.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 13.0ms (40.2% of total)

ival-div: 6.0ms (18.5% of total)

ival-add: 5.0ms (15.4% of total)

const: 4.0ms (12.4% of total)

ival-sub: 2.0ms (6.2% of total)

exact: 1.0ms (3.1% of total)

ival-neg: 1.0ms (3.1% of total)

adjust: 0.0ms (0% of total)

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

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

series8.0ms (0.3%)

Memory

27.6MiB live, 27.6MiB allocated; 0ms collecting garbage

Counts

15 → 18

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#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)
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))
(.f64 (.f64 x x) #s(literal 6 binary64))
(fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))
(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
(fma.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x) #s(literal -9 binary64))
(.f64 (.f64 x x) (neg.f64 x))
(/.f64 (fma.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x) #s(literal -9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))

Outputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 x)
(* 1/6 (pow x 2))
(pow x 2)
-18
(- (* 6 (pow x 2)) 18)
(* 6 (pow x 2))
-9
(- (pow x 4) 9)
18
(+ 18 (* 6 (pow x 2)))
(* -1 (pow x 3))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2)))))
(pow x 4)
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

((/ (- (* x x) 3) 6) (+ (* (* 1/6 x) x) -1/2) (* 1/6 x) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) (+ (* (* x x) (* x x)) -9) (/ (+ (* (* x x) (* x x)) -9) (* (+ (* x x) 3) 6)) (* (+ (* x x) 3) 6) (+ (* (* (* x x) (neg x)) (neg x)) -9) (* (* x x) (neg x)) (/ (+ (* (* (* x x) (neg x)) (neg x)) -9) (* (+ (* x x) 3) 6)))

3.0ms

-inf

((/ (- (* x x) 3) 6) (+ (* (* 1/6 x) x) -1/2) (* 1/6 x) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) (+ (* (* x x) (* x x)) -9) (/ (+ (* (* x x) (* x x)) -9) (* (+ (* x x) 3) 6)) (* (+ (* x x) 3) 6) (+ (* (* (* x x) (neg x)) (neg x)) -9) (* (* x x) (neg x)) (/ (+ (* (* (* x x) (neg x)) (neg x)) -9) (* (+ (* x x) 3) 6)))

2.0ms

((/ (- (* x x) 3) 6) (+ (* (* 1/6 x) x) -1/2) (* 1/6 x) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (* (* x x) 6) (+ (* (* x x) (* x x)) -9) (/ (+ (* (* x x) (* x x)) -9) (* (+ (* x x) 3) 6)) (* (+ (* x x) 3) 6) (+ (* (* (* x x) (neg x)) (neg x)) -9) (* (* x x) (neg x)) (/ (+ (* (* (* x x) (neg x)) (neg x)) -9) (* (+ (* x x) 3) 6)))

simplify143.0ms (5.3%)

Memory

-5.4MiB live, 186.6MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	79
1	83	79
2	223	79
3	853	79
4	5295	79
0	8026	73

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 18

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 x)
(* 1/6 (pow x 2))
(pow x 2)
-18
(- (* 6 (pow x 2)) 18)
(* 6 (pow x 2))
-9
(- (pow x 4) 9)
18
(+ 18 (* 6 (pow x 2)))
(* -1 (pow x 3))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2)))))
(pow x 4)
(* (pow x 4) (- 1 (* 9 (/ 1 (pow x 4)))))
(* (pow x 2) (+ 6 (* 18 (/ 1 (pow x 2)))))

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

rewrite58.0ms (2.1%)

Memory

-5.9MiB live, 87.6MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	127
0	46	109
1	180	97
0	1127	97

Stop Event

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

Counts

15 → 323

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#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)
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))
(.f64 (.f64 x x) #s(literal 6 binary64))
(fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))
(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))
(fma.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x) #s(literal -9 binary64))
(.f64 (.f64 x x) (neg.f64 x))
(/.f64 (fma.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x) #s(literal -9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))

Outputs
#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #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) (fabs.f64 x)) (fabs.f64 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 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 1/6 binary64)) #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 (*.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 #s(literal 6 binary64) (/.f64 (*.f64 x x) #s(literal 36 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)) #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 (.f64 (neg.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 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 #s(literal 1/6 binary64) (neg.f64 x)) (neg.f64 x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) #s(literal 1/6 binary64)))
(.f64 (neg.f64 x) (.f64 (neg.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 #s(literal 6 binary64) (/.f64 (.f64 x x) #s(literal 36 binary64)))
(.f64 x (/.f64 (.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(/.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 6 binary64))) #s(literal -36 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 36 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 x x)
(pow.f64 (fabs.f64 x) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(/.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal 3 binary64)))
(/.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)))
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(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal 3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal 3 binary64))) (-.f64 (.f64 (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64)))) (.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)))) #s(literal 36 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)))) #s(literal 6 binary64))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (neg.f64 (*.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 36 binary64)) #s(literal 648 binary64)) #s(literal 1296 binary64))
(/.f64 (-.f64 (.f64 (.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 6 binary64)) #s(literal 108 binary64)) #s(literal 216 binary64))
(/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 36 binary64)) #s(literal 108 binary64)) #s(literal 216 binary64))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) #s(literal -9 binary64))) (.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64) #s(literal -324 binary64)) (.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) #s(literal 36 binary64)))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 (-.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64)) #s(literal 81 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 (-.f64 (.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 5832 binary64)) (.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64) (fma.f64 (*.f64 x x) #s(literal 108 binary64) #s(literal 324 binary64))) #s(literal 36 binary64)))
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -729 binary64)) (.f64 (fma.f64 #s(literal -9 binary64) (-.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 2 binary64))) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))) (*.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 3 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))) #s(literal -36 binary64))
(/.f64 (neg.f64 (-.f64 (*.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 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal 36 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(neg.f64 (/.f64 (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64))) #s(literal 36 binary64)))
(neg.f64 (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64))) #s(literal 6 binary64)))
(neg.f64 (/.f64 (neg.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))))
(neg.f64 (/.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 18 binary64)) #s(literal -36 binary64)))
(neg.f64 (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -6 binary64)))
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(fma.f64 (/.f64 (.f64 (neg.f64 x) x) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (.f64 (neg.f64 x) x) #s(literal 6 binary64)) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 (neg.f64 x) x) #s(literal 6 binary64)) (/.f64 (.f64 (neg.f64 x) x) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))
(fma.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 6 binary64)) (/.f64 (neg.f64 x) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 6 binary64)) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))
(fma.f64 (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (neg.f64 x) #s(literal 6 binary64)) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))
(fma.f64 (/.f64 (neg.f64 x) #s(literal 6 binary64)) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (.f64 x x) #s(literal 6 binary64)) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 6 binary64)) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))
(fma.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 x #s(literal 6 binary64)) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))
(fma.f64 (/.f64 x #s(literal 6 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))
(fma.f64 (/.f64 (.f64 x x) #s(literal 6 binary64)) (/.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))
(fma.f64 (.f64 (neg.f64 x) x) (/.f64 (.f64 (neg.f64 x) x) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (/.f64 (neg.f64 x) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))
(fma.f64 (neg.f64 x) (/.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))
(fma.f64 (.f64 x x) (/.f64 (.f64 x x) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))
(fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))
(-.f64 (/.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal 1/2 binary64))
(-.f64 (.f64 (.f64 x x) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))
(+.f64 (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal 3 binary64))))
(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))

eval36.0ms (1.3%)

Memory: -17.2MiB live, 81.4MiB allocated; 14ms collecting garbage
Compiler: Compiled 4 885 to 773 computations (84.2% saved)

prune6.0ms (0.2%)

Memory

23.7MiB live, 23.7MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	277	3	280
Fresh	1	0	1
Picked	3	2	5
Done	0	2	2
Total	281	7	288

Accuracy

100.0%

Counts

288 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 #s(approx (- (* (* x x) 6) 18) (fma.f64 (*.f64 #s(literal 6 binary64) x) x #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))
✓	99.8%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
✓	50.1%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	50.1%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
▶	50.2%	#s(approx (/ (- (* x x) 3) 6) (.f64 x (/.f64 (.f64 #s(literal 6 binary64) x) #s(literal 36 binary64))))
✓	50.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 92 to 73 computations (20.7% saved)

simplify17.0ms (0.6%)

Memory

-18.9MiB live, 27.8MiB allocated; 2ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 6 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal -18 binary64))
cost-diff	0	#s(approx (- (* (* x x) 6) 18) (fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal -18 binary64)))
cost-diff	0	(/.f64 #s(approx (- (* (* x x) 6) 18) (fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal -18 binary64))) #s(literal 36 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))
cost-diff	0	(*.f64 #s(literal 6 binary64) x)
cost-diff	0	(.f64 x (/.f64 (.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (.f64 x (/.f64 (.f64 #s(literal 6 binary64) x) #s(literal 36 binary64))))
cost-diff	2	(/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	99
0	30	105
1	52	93
2	104	93
3	225	93
4	394	93
5	498	93
6	511	93
7	518	93
8	522	93
9	526	93
0	526	93

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize51.0ms (1.9%)

Memory

11.2MiB live, 105.6MiB allocated; 11ms collecting garbage

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 #s(literal 6 binary64) x)
accuracy	0.0	#s(approx (- (* (* x x) 6) 18) (fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal -18 binary64)))
accuracy	0.078125	(fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal -18 binary64))
accuracy	0.28645153645477983	(/.f64 #s(approx (- (* (* x x) 6) 18) (fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal -18 binary64))) #s(literal 36 binary64))
accuracy	0.09375	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
accuracy	0.34375	(*.f64 #s(literal 1/6 binary64) x)
accuracy	31.823549649342347	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
accuracy	0.0	(*.f64 #s(literal 6 binary64) x)
accuracy	0.09375	(.f64 x (/.f64 (.f64 #s(literal 6 binary64) x) #s(literal 36 binary64)))
accuracy	0.27734375	(/.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 36 binary64))
accuracy	31.823549649342347	#s(approx (/ (- (* x x) 3) 6) (.f64 x (/.f64 (.f64 #s(literal 6 binary64) x) #s(literal 36 binary64))))

Samples

39.0ms

256×

valid

Compiler

Compiled 74 to 22 computations (70.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

ival-mult: 15.0ms (52.6% of total)

ival-div: 5.0ms (17.5% of total)

const: 4.0ms (14% of total)

ival-add: 2.0ms (7% of total)

ival-sub: 2.0ms (7% of total)

exact: 1.0ms (3.5% of total)

adjust: 0.0ms (0% of total)

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

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

series4.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated; 0ms collecting garbage

Counts

10 → 10

Calls

Call 1

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

Outputs
(* 1/6 x)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* 6 x)
-18
(- (* 6 (pow x 2)) 18)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 6 (pow x 2))
(* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2)))))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

-inf

((/ (* 6 x) 36) (/ (- (* x x) 3) 6) (* x (/ (* 6 x) 36)) (* 6 x) (/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (+ (* (* 6 x) x) -18))

1.0ms

inf

((/ (* 6 x) 36) (/ (- (* x x) 3) 6) (* x (/ (* 6 x) 36)) (* 6 x) (/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (+ (* (* 6 x) x) -18))

1.0ms

((/ (* 6 x) 36) (/ (- (* x x) 3) 6) (* x (/ (* 6 x) 36)) (* 6 x) (/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ (- (* (* x x) 6) 18) 36) (- (* (* x x) 6) 18) (+ (* (* 6 x) x) -18))

simplify105.0ms (3.9%)

Memory

19.1MiB live, 155.7MiB allocated; 14ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	46
1	45	46
2	114	46
3	433	46
4	2870	46
0	8451	42

Stop Event

1×	iter limit
1×	node limit

Counts

10 → 10

Calls

Call 1

Inputs
(* 1/6 x)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* 6 x)
-18
(- (* 6 (pow x 2)) 18)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 6 (pow x 2))
(* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2)))))

Outputs
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
-18
#s(literal -18 binary64)
(- (* 6 (pow x 2)) 18)
(fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal -18 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* 6 (pow x 2))
(.f64 (.f64 #s(literal 6 binary64) x) x)
(* (pow x 2) (- 6 (* 18 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 6 binary64) x) x #s(literal -18 binary64))

rewrite47.0ms (1.7%)

Memory

-2.2MiB live, 49.3MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	87
0	30	93
1	110	81
0	578	81

Stop Event

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

Counts

10 → 76

Calls

Call 1

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

Outputs
(*.f64 (/.f64 x #s(literal 36 binary64)) #s(literal 6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 6 binary64) (/.f64 x #s(literal 36 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -6 binary64) x)) #s(literal 36 binary64))
(/.f64 (*.f64 #s(literal -6 binary64) x) #s(literal -36 binary64))
(/.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 36 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal -6 binary64) x) #s(literal 36 binary64)))
(neg.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -36 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 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal 36 binary64)))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(.f64 #s(literal 6 binary64) (/.f64 (.f64 x x) #s(literal 36 binary64)))
(.f64 #s(literal 6 binary64) (.f64 (/.f64 x #s(literal 36 binary64)) x))
(/.f64 (.f64 x (.f64 #s(literal -6 binary64) x)) #s(literal -36 binary64))
(/.f64 (.f64 (.f64 #s(literal -6 binary64) x) x) #s(literal -36 binary64))
(/.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 6 binary64))) #s(literal -36 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 36 binary64))
(*.f64 x #s(literal 6 binary64))
(*.f64 #s(literal 6 binary64) x)
#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 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (.f64 x #s(literal 6 binary64)) (/.f64 x #s(literal 36 binary64)))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(.f64 #s(literal 6 binary64) (/.f64 (.f64 x x) #s(literal 36 binary64)))
(.f64 #s(literal 6 binary64) (.f64 (/.f64 x #s(literal 36 binary64)) x))
(/.f64 (.f64 x (.f64 #s(literal -6 binary64) x)) #s(literal -36 binary64))
(/.f64 (.f64 (.f64 #s(literal -6 binary64) x) x) #s(literal -36 binary64))
(/.f64 (neg.f64 (.f64 (.f64 x x) #s(literal 6 binary64))) #s(literal -36 binary64))
(/.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal 36 binary64))
(*.f64 (/.f64 x #s(literal 36 binary64)) #s(literal 6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(*.f64 #s(literal 6 binary64) (/.f64 x #s(literal 36 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal -6 binary64) x)) #s(literal 36 binary64))
(/.f64 (*.f64 #s(literal -6 binary64) x) #s(literal -36 binary64))
(/.f64 (*.f64 x #s(literal 6 binary64)) #s(literal 36 binary64))
(neg.f64 (/.f64 (*.f64 #s(literal -6 binary64) x) #s(literal 36 binary64)))
(neg.f64 (/.f64 (*.f64 x #s(literal 6 binary64)) #s(literal -36 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (- (* (* x x) 6) 18) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64))))) #s(literal 36 binary64))
(/.f64 (neg.f64 #s(approx (- (* (* x x) 6) 18) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64)))) #s(literal -36 binary64))
(/.f64 #s(approx (- (* (* x x) 6) 18) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64))) #s(literal 36 binary64))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (* (* x x) 6) 18) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64)))) #s(literal 36 binary64)))
(neg.f64 (/.f64 #s(approx (- (* (* x x) 6) 18) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64))) #s(literal -36 binary64)))
#s(approx (- (* (* x x) 6) 18) (fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64)))
(/.f64 (-.f64 #s(literal 324 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64))) (-.f64 #s(literal -18 binary64) (.f64 (*.f64 x x) #s(literal 6 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -5832 binary64))) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64) (-.f64 #s(literal 324 binary64) (.f64 (.f64 x x) #s(literal -108 binary64))))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64) #s(literal -324 binary64))) (neg.f64 (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal -18 binary64))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64) #s(literal -324 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal -18 binary64)))
(/.f64 (fma.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -5832 binary64)) (+.f64 #s(literal 324 binary64) (-.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (.f64 (*.f64 x x) #s(literal -108 binary64)))))
(/.f64 (fma.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -5832 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64) (-.f64 #s(literal 324 binary64) (.f64 (.f64 x x) #s(literal -108 binary64)))))
(fma.f64 (*.f64 #s(literal 6 binary64) (fabs.f64 x)) (fabs.f64 x) #s(literal -18 binary64))
(fma.f64 (*.f64 #s(literal -6 binary64) x) (neg.f64 x) #s(literal -18 binary64))
(fma.f64 (neg.f64 x) (*.f64 #s(literal -6 binary64) x) #s(literal -18 binary64))
(fma.f64 (fabs.f64 x) (*.f64 (fabs.f64 x) #s(literal 6 binary64)) #s(literal -18 binary64))
(fma.f64 (*.f64 x x) #s(literal 6 binary64) #s(literal -18 binary64))
(fma.f64 (*.f64 x #s(literal 6 binary64)) x #s(literal -18 binary64))
(fma.f64 x (*.f64 x #s(literal 6 binary64)) #s(literal -18 binary64))
(fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal -18 binary64))
(-.f64 (/.f64 (.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64)) (-.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal -18 binary64))) (/.f64 #s(literal 324 binary64) (-.f64 (.f64 (*.f64 x x) #s(literal 6 binary64)) #s(literal -18 binary64))))
(-.f64 #s(literal -18 binary64) (.f64 (neg.f64 (.f64 x x)) #s(literal 6 binary64)))
(-.f64 #s(literal -18 binary64) (.f64 (.f64 #s(literal -6 binary64) x) x))
(-.f64 #s(literal -18 binary64) (.f64 (neg.f64 x) (.f64 x #s(literal 6 binary64))))
(-.f64 #s(literal -18 binary64) (.f64 #s(literal -6 binary64) (.f64 x x)))
(+.f64 (/.f64 (.f64 #s(literal 216 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64) (-.f64 #s(literal 324 binary64) (.f64 (.f64 x x) #s(literal -108 binary64))))) (/.f64 #s(literal -5832 binary64) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 36 binary64) (-.f64 #s(literal 324 binary64) (.f64 (*.f64 x x) #s(literal -108 binary64))))))
(+.f64 (.f64 (.f64 x x) #s(literal 6 binary64)) #s(literal -18 binary64))
(+.f64 #s(literal -18 binary64) (.f64 (.f64 x x) #s(literal 6 binary64)))

eval12.0ms (0.4%)

Memory: -27.2MiB live, 17.9MiB allocated; 7ms collecting garbage
Compiler: Compiled 1 122 to 223 computations (80.1% saved)

prune7.0ms (0.2%)

Memory

14.8MiB live, 14.8MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	0	0	0
Picked	1	2	3
Done	0	4	4
Total	64	7	71

Accuracy

100.0%

Counts

71 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	49.8%	(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))
✓	99.9%	(/.f64 #s(approx (- (* x x) 3) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
✓	99.8%	#s(approx (/ (- (* x x) 3) 6) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64)))
✓	50.1%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	50.1%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	50.2%	#s(approx (/ (- (* x x) 3) 6) (.f64 x (/.f64 (.f64 #s(literal 6 binary64) x) #s(literal 36 binary64))))
✓	50.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 320 to 144 computations (55% saved)

regimes20.0ms (0.7%)

Memory

-7.9MiB live, 37.6MiB allocated; 5ms collecting garbage

Counts

17 → 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) (fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 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) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 x (/.f64 (.f64 #s(literal 6 binary64) x) #s(literal 36 binary64))))
(/.f64 #s(approx (- (* (* x x) 6) 18) (.f64 (.f64 #s(literal 6 binary64) x) x)) #s(literal 36 binary64))
(/.f64 #s(approx (- (* (* x x) 6) 18) (fma.f64 (*.f64 #s(literal 6 binary64) x) x #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 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x) #s(literal -9 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)) #s(approx (* (+ (* x x) 3) 6) (.f64 (.f64 x x) #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 4 binary64)) #s(literal 9 binary64)) (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)))

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

Calls

4 calls:

7.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
5.0ms	x
4.0ms	(*.f64 x x)
4.0ms	(/.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)

regimes7.0ms (0.3%)

Memory

16.3MiB live, 16.3MiB allocated; 0ms collecting garbage

Counts

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

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

Calls

4 calls:

2.0ms	x
2.0ms	(*.f64 x 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)

regimes6.0ms (0.2%)

Memory

13.6MiB live, 13.7MiB allocated; 0ms 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:

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

Results

Accuracy	Segments	Branch
99.3%	2	`(*.f64 x x)`
99.3%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.3%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.3%	2	`x`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes7.0ms (0.3%)

Memory

-34.6MiB live, 11.0MiB allocated; 4ms 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:

4.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	x
1.0ms	(*.f64 x x)
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)

bsearch13.0ms (0.5%)

Memory

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

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	0.12886321219464955	28473.366371047636

Samples

6.0ms

144×

valid

Compiler

Compiled 208 to 190 computations (8.7% saved)

Precisions

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

ival-sub: 1.0ms (31.7% of total)

ival-div: 1.0ms (31.7% of total)

ival-mult: 1.0ms (31.7% 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)

simplify28.0ms (1%)

Memory

-26.7MiB live, 24.5MiB allocated; 21ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	61
1	28	61
2	47	61
3	76	61
4	104	61
5	121	61
6	132	61
7	136	61
8	143	61
9	151	61
10	159	61

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.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 #s(literal 1/6 binary64) x) x #s(literal -1/2 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 #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 #s(literal 1/6 binary64) x) x #s(literal -1/2 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))

derivations270.0ms (9.9%)

Memory

31.1MiB live, 262.5MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	34
1	38	34
2	109	34
3	458	34
4	3811	34
0	8399	30
0	28	127
0	46	109
1	180	97
0	1127	97
0	29	120
0	45	105
1	181	105
0	1296	105

Stop Event

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

Compiler

Compiled 61 to 22 computations (63.9% saved)

preprocess26.0ms (1%)

Memory: 10.1MiB live, 55.9MiB allocated; 6ms collecting garbage
Remove: (abs x)
Compiler: Compiled 160 to 74 computations (53.8% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	8	14
1	26	14
2	55	14
3	87	14
4	132	14
5	142	14
6	146	14
7	149	14
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	22	99
0	30	105
1	52	93
2	104	93
3	225	93
4	394	93
5	498	93
6	511	93
7	518	93
8	522	93
9	526	93
0	526	93

Iter	Nodes	Cost
0	21	61
1	28	61
2	47	61
3	76	61
4	104	61
5	121	61
6	132	61
7	136	61
8	143	61
9	151	61
10	159	61

Iter	Nodes	Cost
0	8	14
1	26	14
2	55	14
3	87	14
4	132	14
5	142	14
6	146	14
7	149	14
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	22	99
0	30	105
1	52	93
2	104	93
3	225	93
4	394	93
5	498	93
6	511	93
7	518	93
8	522	93
9	526	93
0	526	93

Iter	Nodes	Cost
0	21	61
1	28	61
2	47	61
3	76	61
4	104	61
5	121	61
6	132	61
7	136	61
8	143	61
9	151	61
10	159	61

start0.0ms (0%)

analyze0.0ms (0%)

sample746.0ms (27.4%)

explain72.0ms (2.6%)

preprocess21.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify6.0ms (0.2%)

localize21.0ms (0.8%)

series2.0ms (0.1%)

simplify109.0ms (4%)

rewrite40.0ms (1.5%)

eval4.0ms (0.2%)

prune5.0ms (0.2%)

simplify211.0ms (7.8%)

localize67.0ms (2.4%)

series15.0ms (0.6%)

simplify123.0ms (4.5%)

rewrite92.0ms (3.4%)

eval43.0ms (1.6%)

prune7.0ms (0.3%)

simplify138.0ms (5.1%)

localize128.0ms (4.7%)

series8.0ms (0.3%)

simplify143.0ms (5.3%)

rewrite58.0ms (2.1%)

eval36.0ms (1.3%)

prune6.0ms (0.2%)

simplify17.0ms (0.6%)

localize51.0ms (1.9%)

series4.0ms (0.1%)

simplify105.0ms (3.9%)

rewrite47.0ms (1.7%)

eval12.0ms (0.4%)

prune7.0ms (0.2%)

regimes20.0ms (0.7%)

regimes7.0ms (0.3%)

regimes6.0ms (0.2%)

regimes7.0ms (0.3%)

bsearch13.0ms (0.5%)

simplify28.0ms (1%)

derivations270.0ms (9.9%)

preprocess26.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	14
1	26	14
2	55	14
3	87	14
4	132	14
5	142	14
6	146	14
7	149	14
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	22	99
0	30	105
1	52	93
2	104	93
3	225	93
4	394	93
5	498	93
6	511	93
7	518	93
8	522	93
9	526	93
0	526	93

Iter	Nodes	Cost
0	21	61
1	28	61
2	47	61
3	76	61
4	104	61
5	121	61
6	132	61
7	136	61
8	143	61
9	151	61
10	159	61