Metrics for Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, F

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample422.0ms (27.9%)

Memory

33.6MiB live, 655.7MiB allocated; 91ms collecting garbage

Samples

238.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-add!: 43.0ms (96.5% of total)

adjust: 1.0ms (2.2% of total)

Bogosity

preprocess86.0ms (5.7%)

Memory

-32.1MiB live, 58.0MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	17	9
2	32	9
3	48	9
4	129	9
5	716	9
6	3566	9

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Compiler

Compiled 10 to 10 computations (0% saved)

series1.0ms (0.1%)

Memory

3.7MiB live, 3.6MiB allocated; 0ms collecting garbage

Counts

5 → 5

Calls

Call 1

Inputs
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
x
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)

Outputs
#s(approx (+ x (/ 1 3)) #s(hole binary64 1/3))
#s(approx (+ x (/ 1 3)) #s(hole binary64 (+ 1/3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ x (/ 1 3)) #s(hole binary64 x))
#s(approx (+ x (/ 1 3)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((+ x (/ 1 3)) x (/ 1 3) 1 3)
0.0ms	x	@	inf	((+ x (/ 1 3)) x (/ 1 3) 1 3)
0.0ms	x	@	0	((+ x (/ 1 3)) x (/ 1 3) 1 3)

rewrite90.0ms (5.9%)

Memory

9.9MiB live, 111.9MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	40
0	20	38
1	78	38
0	525	37

Stop Event

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

Counts

10 → 22

Calls

Call 1

Inputs
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
x
(/.f64 #s(literal 1 binary64) #s(literal 3 binary64))
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(approx (+ x (/ 1 3)) #s(hole binary64 1/3))
#s(approx (+ x (/ 1 3)) #s(hole binary64 (+ 1/3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (+ x (/ 1 3)) #s(hole binary64 x))
#s(approx (+ x (/ 1 3)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))

Outputs
(/.f64 (neg.f64 (fma.f64 (.f64 x x) x #s(literal 1/27 binary64))) (neg.f64 (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3 binary64) x)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64))) (neg.f64 (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (fma.f64 (.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3 binary64) x))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(-.f64 (/.f64 (*.f64 x x) (-.f64 x #s(literal 1/3 binary64))) (/.f64 #s(literal 1/9 binary64) (-.f64 x #s(literal 1/3 binary64))))
(-.f64 (/.f64 #s(literal 1/9 binary64) (-.f64 #s(literal 1/3 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 1/3 binary64) x)))
(-.f64 x #s(literal -1/3 binary64))
(+.f64 (/.f64 (.f64 (.f64 x x) x) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3 binary64) x)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 x x (-.f64 #s(literal 1/9 binary64) (.f64 #s(literal 1/3 binary64) x)))))
(+.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))) (/.f64 (.f64 (.f64 x x) x) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))))
(+.f64 #s(literal 1/3 binary64) x)
(+.f64 x #s(literal 1/3 binary64))
x
#s(literal 1/3 binary64)
#s(literal 1 binary64)
#s(literal 3 binary64)
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
#s(approx (+ x (/ 1 3)) (-.f64 x #s(literal -1/3 binary64)))
#s(approx x x)
#s(approx (+ x (/ 1 3)) x)
#s(approx (+ x (/ 1 3)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x))

eval2.0ms (0.1%)

Memory: 3.6MiB live, 3.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 97 to 56 computations (42.3% saved)

prune1.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	15	4	19
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	16	4	20

Accuracy

100.0%

Counts

20 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.7%	(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
▶	100.0%	(-.f64 x #s(literal -1/3 binary64))
▶	49.3%	#s(approx (+ x (/ 1 3)) x)
▶	51.7%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 25 to 25 computations (0% saved)

series5.0ms (0.3%)

Memory

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

Counts

13 → 30

Calls

Call 1

Inputs
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(approx (+ x (/ 1 3)) x)
x
(-.f64 x #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(fma.f64 (*.f64 x x) x #s(literal 1/27 binary64))
(*.f64 x x)
#s(literal 1/27 binary64)
(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
(-.f64 x #s(literal 1/3 binary64))
#s(literal 1/9 binary64)

Outputs
#s(approx (+ x (/ 1 3)) #s(hole binary64 1/3))
#s(approx (+ x (/ 1 3)) #s(hole binary64 (+ 1/3 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- x -1/3) #s(hole binary64 1/3))
#s(approx (- x -1/3) #s(hole binary64 (+ 1/3 x)))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 1/3))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 x)))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (+ 1/27 (pow x 3))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3)))))
#s(approx (- x 1/3) #s(hole binary64 -1/3))
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3)))
#s(approx (+ x (/ 1 3)) #s(hole binary64 x))
#s(approx (+ x (/ 1 3)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (- x -1/3) #s(hole binary64 x))
#s(approx (- x -1/3) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 x))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))))
#s(approx (- x 1/3) #s(hole binary64 x))
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))))
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((+ x (/ 1 3)) 1/3 (+ x (/ 1 3)) x (- x -1/3) -1/3 (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) (* x x) 1/27 (+ (* x (- x 1/3)) 1/9) (- x 1/3) 1/9)
1.0ms	x	@	inf	((+ x (/ 1 3)) 1/3 (+ x (/ 1 3)) x (- x -1/3) -1/3 (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) (* x x) 1/27 (+ (* x (- x 1/3)) 1/9) (- x 1/3) 1/9)
1.0ms	x	@	0	((+ x (/ 1 3)) 1/3 (+ x (/ 1 3)) x (- x -1/3) -1/3 (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) (* x x) 1/27 (+ (* x (- x 1/3)) 1/9) (- x 1/3) 1/9)

Time

Variable

Point

Expression

2.0ms

-inf

((+ x (/ 1 3)) 1/3 (+ x (/ 1 3)) x (- x -1/3) -1/3 (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) (* x x) 1/27 (+ (* x (- x 1/3)) 1/9) (- x 1/3) 1/9)

1.0ms

inf

((+ x (/ 1 3)) 1/3 (+ x (/ 1 3)) x (- x -1/3) -1/3 (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) (* x x) 1/27 (+ (* x (- x 1/3)) 1/9) (- x 1/3) 1/9)

1.0ms

((+ x (/ 1 3)) 1/3 (+ x (/ 1 3)) x (- x -1/3) -1/3 (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) (* x x) 1/27 (+ (* x (- x 1/3)) 1/9) (- x 1/3) 1/9)

rewrite244.0ms (16.1%)

Memory

-39.3MiB live, 164.7MiB allocated; 168ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	86	394
0	92	318
1	397	314
0	3323	309

Stop Event

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

Counts

43 → 243

Calls

Call 1

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

Outputs
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(approx (+ x (/ 1 3)) x)
x
(.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 (.f64 x x) x #s(literal -1/27 binary64))) (fma.f64 x x (fma.f64 #s(literal 1/3 binary64) x #s(literal 1/9 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (fma.f64 x x #s(literal -1/9 binary64))) (-.f64 x #s(literal -1/3 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) (.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal -1/81 binary64))) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x x) x #s(literal 1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64))))) (-.f64 #s(literal 1/9 binary64) (.f64 (-.f64 x #s(literal 1/3 binary64)) x)))
(.f64 (/.f64 (fma.f64 (.f64 x x) x #s(literal 1/27 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (fma.f64 (.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) x #s(literal 1/27 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (fma.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (.f64 (.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))) (.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))) (-.f64 (.f64 (.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (.f64 (.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (-.f64 (.f64 (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (.f64 (.f64 (.f64 x x) (/.f64 x (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))) (/.f64 #s(literal 1/27 binary64) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))))))
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1/27 binary64))) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) #s(literal 1/27 binary64))) (.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1/729 binary64)) (.f64 (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(/.f64 (-.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(/.f64 (fma.f64 x x #s(literal -1/9 binary64)) (-.f64 x #s(literal 1/3 binary64)))
(/.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 x x)) (-.f64 #s(literal 1/3 binary64) x))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64)) (.f64 (fma.f64 #s(literal 1/27 binary64) (-.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) x) (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)) #s(literal 1/729 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(/.f64 (fma.f64 (neg.f64 x) (*.f64 x x) #s(literal -1/27 binary64)) (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))
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#s(approx (* x x) (*.f64 x x))
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#s(approx (- x 1/3) (-.f64 x #s(literal 1/3 binary64)))
#s(approx (+ x (/ 1 3)) x)
#s(approx (+ x (/ 1 3)) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x))
#s(approx (+ x (/ 1 3)) x)
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#s(approx (+ x (/ 1 3)) x)
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#s(approx (+ (* (* x x) x) 1/27) (.f64 (.f64 x x) x))
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#s(approx (+ (* x (- x 1/3)) 1/9) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x)) x) x))
#s(approx (- x 1/3) x)
#s(approx (- x 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))
#s(approx (+ (* x (- x 1/3)) 1/9) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x)) x) x))
#s(approx (- x 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))

eval16.0ms (1.1%)

Memory: 37.3MiB live, 37.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 459 to 584 computations (60% saved)

prune7.0ms (0.5%)

Memory

-36.8MiB live, 9.0MiB allocated; 3ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	181	2	183
Fresh	0	0	0
Picked	1	3	4
Done	0	0	0
Total	182	5	187

Accuracy

100.0%

Counts

187 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	59.0%	(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1/729 binary64)) (.f64 (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
▶	51.7%	(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	49.3%	#s(approx (+ x (/ 1 3)) x)
✓	51.7%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 44 to 41 computations (6.8% saved)

series9.0ms (0.6%)

Memory

18.0MiB live, 18.0MiB allocated; 0ms collecting garbage

Counts

17 → 54

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
#s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
x
(-.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1/729 binary64)) (.f64 (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1/729 binary64))
(.f64 (.f64 x x) x)
(*.f64 x x)
#s(literal -1/729 binary64)
(.f64 (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))
(fma.f64 (*.f64 x x) x #s(literal -1/27 binary64))
#s(literal -1/27 binary64)
(fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))

Outputs
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 1/3))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 x)))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (+ 1/27 (pow x 3))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3)))))
#s(approx x #s(hole binary64 x))
#s(approx (- x 1/3) #s(hole binary64 -1/3))
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3)))
#s(approx (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) #s(hole binary64 1/3))
#s(approx (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) #s(hole binary64 (+ 1/3 x)))
#s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(hole binary64 -1/729))
#s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(hole binary64 (- (pow x 6) 1/729)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 -1/243))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (- (* 1/81 x) 1/243)))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (- (* x (+ 1/81 (* -1/27 x))) 1/243)))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (- (* x (+ 1/81 (* x (- (* 1/9 x) 1/27)))) 1/243)))
#s(approx (+ (* (* x x) x) -1/27) #s(hole binary64 -1/27))
#s(approx (+ (* (* x x) x) -1/27) #s(hole binary64 (- (pow x 3) 1/27)))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x))))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3)))))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 x))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))))
#s(approx (- x 1/3) #s(hole binary64 x))
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) #s(hole binary64 x))
#s(approx (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(hole binary64 (pow x 6)))
#s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(hole binary64 (* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (pow x 5)))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* (pow x 5) (- 1 (* 1/3 (/ 1 x))))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))))
#s(approx (+ (* (* x x) x) -1/27) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* x x) x) -1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))))
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))))
#s(approx (+ (* (* x x) x) -1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) x (- x 1/3) 1/3 1/9 (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (* x x) x) (* x x) -1/729 (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) (+ (* (* x x) x) -1/27) -1/27 (+ (* (- x 1/3) x) 1/9))
3.0ms	x	@	inf	((/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) x (- x 1/3) 1/3 1/9 (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (* x x) x) (* x x) -1/729 (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) (+ (* (* x x) x) -1/27) -1/27 (+ (* (- x 1/3) x) 1/9))
2.0ms	x	@	0	((/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) x (- x 1/3) 1/3 1/9 (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (* x x) x) (* x x) -1/729 (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) (+ (* (* x x) x) -1/27) -1/27 (+ (* (- x 1/3) x) 1/9))

Time

Variable

Point

Expression

3.0ms

-inf

((/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) x (- x 1/3) 1/3 1/9 (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (* x x) x) (* x x) -1/729 (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) (+ (* (* x x) x) -1/27) -1/27 (+ (* (- x 1/3) x) 1/9))

3.0ms

inf

((/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) x (- x 1/3) 1/3 1/9 (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (* x x) x) (* x x) -1/729 (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) (+ (* (* x x) x) -1/27) -1/27 (+ (* (- x 1/3) x) 1/9))

2.0ms

((/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) x (- x 1/3) 1/3 1/9 (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (* x x) x) (* x x) -1/729 (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) (+ (* (* x x) x) -1/27) -1/27 (+ (* (- x 1/3) x) 1/9))

rewrite215.0ms (14.2%)

Memory

13.5MiB live, 202.2MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	174	1086
0	194	884
1	906	786
0	7727	772

Stop Event

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

Counts

71 → 384

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
#s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
(fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64))
x
(-.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(literal 1/9 binary64)
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1/729 binary64)) (.f64 (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1/729 binary64))
(.f64 (.f64 x x) x)
(*.f64 x x)
#s(literal -1/729 binary64)
(.f64 (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))
(fma.f64 (*.f64 x x) x #s(literal -1/27 binary64))
#s(literal -1/27 binary64)
(fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 1/3))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 x)))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (+ 1/27 (pow x 3))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3)))))
#s(approx x #s(hole binary64 x))
#s(approx (- x 1/3) #s(hole binary64 -1/3))
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3)))
#s(approx (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) #s(hole binary64 1/3))
#s(approx (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) #s(hole binary64 (+ 1/3 x)))
#s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(hole binary64 -1/729))
#s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(hole binary64 (- (pow x 6) 1/729)))
#s(approx (* (* x x) x) #s(hole binary64 (pow x 3)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 -1/243))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (- (* 1/81 x) 1/243)))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (- (* x (+ 1/81 (* -1/27 x))) 1/243)))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (- (* x (+ 1/81 (* x (- (* 1/9 x) 1/27)))) 1/243)))
#s(approx (+ (* (* x x) x) -1/27) #s(hole binary64 -1/27))
#s(approx (+ (* (* x x) x) -1/27) #s(hole binary64 (- (pow x 3) 1/27)))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x))))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3)))))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 x))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))))
#s(approx (- x 1/3) #s(hole binary64 x))
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) #s(hole binary64 x))
#s(approx (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(hole binary64 (pow x 6)))
#s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(hole binary64 (* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (pow x 5)))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* (pow x 5) (- 1 (* 1/3 (/ 1 x))))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))))
#s(approx (+ (* (* x x) x) -1/27) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* x x) x) -1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))))
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))))
#s(approx (+ (* (* x x) x) -1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))))

Outputs
(.f64 (/.f64 #s(approx (+ ( (* x x) x) 1/27) #s(literal 1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64))))) (-.f64 #s(literal 1/9 binary64) (.f64 (-.f64 x #s(literal 1/3 binary64)) x)))
(.f64 (/.f64 #s(approx (+ ( (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) (.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal -1/81 binary64))) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)))
(.f64 (/.f64 #s(approx (+ ( (* x x) x) 1/27) #s(literal 1/27 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (fma.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64)))
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#s(approx x x)
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#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) (fma.f64 (fma.f64 (fma.f64 #s(literal 1/9 binary64) x #s(literal -1/27 binary64)) x #s(literal 1/81 binary64)) x #s(literal -1/243 binary64)))
#s(approx (+ (* (* x x) x) -1/27) #s(literal -1/27 binary64))
#s(approx (+ (* (* x x) x) -1/27) (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64)))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(literal 1/9 binary64))
#s(approx (+ (* (- x 1/3) x) 1/9) (fma.f64 #s(literal -1/3 binary64) x #s(literal 1/9 binary64)))
#s(approx (+ (* (- x 1/3) x) 1/9) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))
#s(approx (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) x)
#s(approx (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x))
#s(approx (+ (* (* x x) x) 1/27) (.f64 (.f64 x x) x))
#s(approx (+ (* (* x x) x) 1/27) (.f64 (.f64 (-.f64 (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x)) #s(literal -1 binary64)) (*.f64 x x)) x))
#s(approx (+ (* (- x 1/3) x) 1/9) (*.f64 x x))
#s(approx (+ (* (- x 1/3) x) 1/9) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) x))
#s(approx (+ (* (- x 1/3) x) 1/9) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x)) (.f64 x x)))
#s(approx (- x 1/3) x)
#s(approx (- x 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))
#s(approx (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) x)
#s(approx (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) (fma.f64 (/.f64 #s(literal 1/3 binary64) x) x x))
#s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x)))
#s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/729 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (.f64 (.f64 x x) x)) (.f64 (*.f64 x x) x)))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) (.f64 (.f64 x x) (.f64 (.f64 x x) x)))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) (.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) (.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) x)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) (.f64 (-.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x)) (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x))) (.f64 (.f64 x x) (.f64 (*.f64 x x) x))))
#s(approx (+ (* (* x x) x) -1/27) (.f64 (.f64 x x) x))
#s(approx (+ (* (* x x) x) -1/27) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x))) (*.f64 x x)) x))
#s(approx (+ (* (- x 1/3) x) 1/9) (*.f64 x x))
#s(approx (+ (* (- x 1/3) x) 1/9) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x) x))
#s(approx (+ (* (- x 1/3) x) 1/9) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x)) (.f64 x x)))
#s(approx (+ (* (- x 1/3) x) 1/9) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x)) (.f64 x x)))
#s(approx (- x 1/3) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x)) x))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) (.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) (.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) x)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)) x)) (.f64 (.f64 x x) (.f64 (*.f64 x x) x))))
#s(approx (+ (* (* x x) x) -1/27) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x))) (*.f64 x x)) x))
#s(approx (+ (* (- x 1/3) x) 1/9) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x)) (.f64 x x)))

eval91.0ms (6%)

Memory: -26.4MiB live, 75.7MiB allocated; 8ms collecting garbage
Compiler: Compiled 4 531 to 1 441 computations (68.2% saved)

prune8.0ms (0.5%)

Memory

24.3MiB live, 24.3MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	453	2	455
Fresh	0	0	0
Picked	2	0	2
Done	0	3	3
Total	455	5	460

Accuracy

100.0%

Counts

460 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.9%	(/.f64 #s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(literal -1/729 binary64)) (.f64 (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
▶	51.1%	(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x #s(approx (- x 1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	49.3%	#s(approx (+ x (/ 1 3)) x)
✓	51.7%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 49 to 47 computations (4.1% saved)

series9.0ms (0.6%)

Memory

-30.9MiB live, 14.5MiB allocated; 3ms collecting garbage

Counts

18 → 53

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x #s(approx (- x 1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
#s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
(fma.f64 x #s(approx (- x 1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
x
#s(approx (- x 1/3) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)
(/.f64 #s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(literal -1/729 binary64)) (.f64 (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
#s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(literal -1/729 binary64))
#s(literal -1/729 binary64)
(.f64 (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))
(fma.f64 (*.f64 x x) x #s(literal -1/27 binary64))
(*.f64 x x)
#s(literal -1/27 binary64)
(fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))
(-.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)

Outputs
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 1/3))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 x)))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (+ 1/27 (pow x 3))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3)))))
#s(approx x #s(hole binary64 x))
#s(approx (- x 1/3) #s(hole binary64 -1/3))
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3)))
#s(approx (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) #s(hole binary64 1/3))
#s(approx (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) #s(hole binary64 (+ 1/3 x)))
#s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(hole binary64 -1/729))
#s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(hole binary64 (- (pow x 6) 1/729)))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 -1/243))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (- (* 1/81 x) 1/243)))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (- (* x (+ 1/81 (* -1/27 x))) 1/243)))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (- (* x (+ 1/81 (* x (- (* 1/9 x) 1/27)))) 1/243)))
#s(approx (+ (* (* x x) x) -1/27) #s(hole binary64 -1/27))
#s(approx (+ (* (* x x) x) -1/27) #s(hole binary64 (- (pow x 3) 1/27)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x))))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3)))))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 x))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))))
#s(approx (- x 1/3) #s(hole binary64 x))
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) #s(hole binary64 x))
#s(approx (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(hole binary64 (pow x 6)))
#s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(hole binary64 (* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (pow x 5)))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* (pow x 5) (- 1 (* 1/3 (/ 1 x))))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))))
#s(approx (+ (* (* x x) x) -1/27) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* x x) x) -1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))))
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))))
#s(approx (+ (* (* x x) x) -1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	((/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) x (- x 1/3) -1/3 1/9 (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) (+ (* (* (* x x) x) (* (* x x) x)) -1/729) -1/729 (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) (+ (* (* x x) x) -1/27) (* x x) -1/27 (+ (* (- x 1/3) x) 1/9) (- x 1/3) 1/3)
2.0ms	x	@	-inf	((/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) x (- x 1/3) -1/3 1/9 (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) (+ (* (* (* x x) x) (* (* x x) x)) -1/729) -1/729 (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) (+ (* (* x x) x) -1/27) (* x x) -1/27 (+ (* (- x 1/3) x) 1/9) (- x 1/3) 1/3)
1.0ms	x	@	0	((/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) x (- x 1/3) -1/3 1/9 (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) (+ (* (* (* x x) x) (* (* x x) x)) -1/729) -1/729 (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) (+ (* (* x x) x) -1/27) (* x x) -1/27 (+ (* (- x 1/3) x) 1/9) (- x 1/3) 1/3)

Time

Variable

Point

Expression

4.0ms

inf

((/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) x (- x 1/3) -1/3 1/9 (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) (+ (* (* (* x x) x) (* (* x x) x)) -1/729) -1/729 (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) (+ (* (* x x) x) -1/27) (* x x) -1/27 (+ (* (- x 1/3) x) 1/9) (- x 1/3) 1/3)

2.0ms

-inf

((/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) x (- x 1/3) -1/3 1/9 (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) (+ (* (* (* x x) x) (* (* x x) x)) -1/729) -1/729 (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) (+ (* (* x x) x) -1/27) (* x x) -1/27 (+ (* (- x 1/3) x) 1/9) (- x 1/3) 1/3)

1.0ms

((/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) (+ (* (* x x) x) 1/27) 1/27 (+ (* x (- x 1/3)) 1/9) x (- x 1/3) -1/3 1/9 (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) (+ (* (* (* x x) x) (* (* x x) x)) -1/729) -1/729 (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) (+ (* (* x x) x) -1/27) (* x x) -1/27 (+ (* (- x 1/3) x) 1/9) (- x 1/3) 1/3)

rewrite216.0ms (14.2%)

Memory

29.9MiB live, 312.6MiB allocated; 19ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	1107
0	183	894
1	910	805
0	7871	791

Stop Event

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

Counts

71 → 263

Calls

Call 1

Inputs
(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x #s(approx (- x 1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
#s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
(fma.f64 x #s(approx (- x 1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
x
#s(approx (- x 1/3) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)
(/.f64 #s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(literal -1/729 binary64)) (.f64 (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
#s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(literal -1/729 binary64))
#s(literal -1/729 binary64)
(.f64 (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))
(fma.f64 (*.f64 x x) x #s(literal -1/27 binary64))
(*.f64 x x)
#s(literal -1/27 binary64)
(fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))
(-.f64 x #s(literal 1/3 binary64))
#s(literal 1/3 binary64)
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 1/3))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (+ 1/3 x)))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 1/27))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (+ 1/27 (pow x 3))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3)))))
#s(approx x #s(hole binary64 x))
#s(approx (- x 1/3) #s(hole binary64 -1/3))
#s(approx (- x 1/3) #s(hole binary64 (- x 1/3)))
#s(approx (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) #s(hole binary64 1/3))
#s(approx (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) #s(hole binary64 (+ 1/3 x)))
#s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(hole binary64 -1/729))
#s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(hole binary64 (- (pow x 6) 1/729)))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 -1/243))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (- (* 1/81 x) 1/243)))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (- (* x (+ 1/81 (* -1/27 x))) 1/243)))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (- (* x (+ 1/81 (* x (- (* 1/9 x) 1/27)))) 1/243)))
#s(approx (+ (* (* x x) x) -1/27) #s(hole binary64 -1/27))
#s(approx (+ (* (* x x) x) -1/27) #s(hole binary64 (- (pow x 3) 1/27)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 1/9))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (+ 1/9 (* -1/3 x))))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (+ 1/9 (* x (- x 1/3)))))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 x))
#s(approx (/ (+ (* (* x x) x) 1/27) (+ (* x (- x 1/3)) 1/9)) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* x x) x) 1/27) #s(hole binary64 (* (pow x 3) (+ 1 (* 1/27 (/ 1 (pow x 3)))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (pow x 2)))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))))
#s(approx (- x 1/3) #s(hole binary64 x))
#s(approx (- x 1/3) #s(hole binary64 (* x (- 1 (* 1/3 (/ 1 x))))))
#s(approx (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) #s(hole binary64 x))
#s(approx (/ (+ (* (* (* x x) x) (* (* x x) x)) -1/729) (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9))) #s(hole binary64 (* x (+ 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(hole binary64 (pow x 6)))
#s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(hole binary64 (* (pow x 6) (- 1 (* 1/729 (/ 1 (pow x 6)))))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (pow x 5)))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* (pow x 5) (- 1 (* 1/3 (/ 1 x))))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* (pow x 5) (- (+ 1 (/ 1/9 (pow x 2))) (+ (* 1/3 (/ 1 x)) (* 1/27 (/ 1 (pow x 3))))))))
#s(approx (+ (* (* x x) x) -1/27) #s(hole binary64 (pow x 3)))
#s(approx (+ (* (* x x) x) -1/27) #s(hole binary64 (* (pow x 3) (- 1 (* 1/27 (/ 1 (pow x 3)))))))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (pow x 2)))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (* (pow x 2) (- 1 (* 1/3 (/ 1 x))))))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (* (pow x 2) (- (+ 1 (/ 1/9 (pow x 2))) (* 1/3 (/ 1 x))))))
#s(approx (+ (* x (- x 1/3)) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))))
#s(approx (- x 1/3) #s(hole binary64 (* -1 (* x (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* -1 (* (pow x 5) (- (* 1/3 (/ 1 x)) 1)))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (- (* 1/9 (/ 1 x)) 1/3) x)) 1)))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) #s(hole binary64 (* -1 (* (pow x 5) (- (* -1 (/ (- (* -1 (/ (- (* 1/27 (/ 1 x)) 1/9) x)) 1/3) x)) 1)))))
#s(approx (+ (* (* x x) x) -1/27) #s(hole binary64 (* -1 (* (pow x 3) (- (* 1/27 (/ 1 (pow x 3))) 1)))))
#s(approx (+ (* (- x 1/3) x) 1/9) #s(hole binary64 (* (pow x 2) (+ 1 (* -1 (/ (- 1/3 (* 1/9 (/ 1 x))) x))))))

Outputs
(.f64 (/.f64 #s(approx (+ ( (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal -1/81 binary64))) (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)))
(.f64 (/.f64 #s(approx (+ ( (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 (.f64 (.f64 (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64))) (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/729 binary64))) (fma.f64 (.f64 (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))))
(/.f64 (neg.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64))) (neg.f64 (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))))
(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64))) (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))))
(neg.f64 (/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (neg.f64 (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal 1/9 binary64)))))
#s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64))
#s(literal 1/27 binary64)
(/.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64)))) (-.f64 #s(literal 1/9 binary64) (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal -1/81 binary64))) (neg.f64 (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64))) (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/729 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))))))
(/.f64 (fma.f64 (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal -1/81 binary64)) (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal -1/9 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64))) (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/729 binary64)) (+.f64 #s(literal 1/81 binary64) (-.f64 (.f64 (.f64 (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64))) (.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64))) (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/729 binary64)) (fma.f64 (.f64 (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64)))))
(fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal 1/9 binary64))
(fma.f64 x #s(approx (- x 1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64))
(-.f64 (/.f64 (.f64 (.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64))) (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))) (/.f64 #s(literal 1/81 binary64) (fma.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x #s(literal -1/9 binary64))))
(-.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal -1/9 binary64))
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64))) x))
(-.f64 #s(literal 1/9 binary64) (*.f64 (neg.f64 x) #s(approx (- x 1/3) #s(literal -1/3 binary64))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64))) (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x)) (fma.f64 (.f64 (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))))) (/.f64 #s(literal 1/729 binary64) (fma.f64 (.f64 (.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) x) #s(approx (- x 1/3) #s(literal -1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))))))
(+.f64 (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x) #s(literal 1/9 binary64))
(+.f64 #s(literal 1/9 binary64) (*.f64 #s(approx (- x 1/3) #s(literal -1/3 binary64)) x))
x
#s(approx (- x 1/3) #s(literal -1/3 binary64))
#s(literal -1/3 binary64)
#s(literal 1/9 binary64)
(.f64 (/.f64 (/.f64 #s(approx (+ ( (* (* x x) x) (* (* x x) x)) -1/729) #s(literal -1/729 binary64)) (fma.f64 (.f64 x x) x #s(literal -1/27 binary64))) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64))))) (-.f64 #s(literal 1/9 binary64) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x)))
(.f64 (/.f64 (/.f64 #s(approx (+ ( (* (* x x) x) (* (* x x) x)) -1/729) #s(literal -1/729 binary64)) (fma.f64 (.f64 x x) x #s(literal -1/27 binary64))) (fma.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal -1/81 binary64))) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)))
(.f64 (/.f64 (/.f64 #s(approx (+ ( (* (* x x) x) (* (* x x) x)) -1/729) #s(literal -1/729 binary64)) (fma.f64 (.f64 x x) x #s(literal -1/27 binary64))) (-.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (fma.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64)))
(.f64 (/.f64 (/.f64 #s(approx (+ ( (* (* x x) x) (* (* x x) x)) -1/729) #s(literal -1/729 binary64)) (fma.f64 (.f64 x x) x #s(literal -1/27 binary64))) (-.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (fma.f64 (.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64)))))
(/.f64 (/.f64 #s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(literal -1/729 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64)))
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(literal -1/729 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64)))) (fma.f64 (neg.f64 x) (-.f64 x #s(literal 1/3 binary64)) #s(literal -1/9 binary64)))
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(literal -1/729 binary64)))) (.f64 (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(/.f64 (/.f64 #s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(literal -1/729 binary64)) (fma.f64 (*.f64 x x) x #s(literal -1/27 binary64))) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))
(/.f64 (neg.f64 #s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(literal -1/729 binary64))) (.f64 (-.f64 #s(literal 1/27 binary64) (.f64 (*.f64 x x) x)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(/.f64 #s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(literal -1/729 binary64)) (.f64 (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(literal -1/729 binary64))) (.f64 (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))))
(neg.f64 (/.f64 #s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(literal -1/729 binary64)) (.f64 (-.f64 #s(literal 1/27 binary64) (.f64 (*.f64 x x) x)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))))
#s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(literal -1/729 binary64))
#s(literal -1/729 binary64)
(.f64 (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)))
(.f64 (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64)) (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/19683 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (fma.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) x)) x (fma.f64 (.f64 #s(literal 1/27 binary64) (*.f64 x x)) x #s(literal 1/729 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 x x) #s(literal -1/729 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))) (fma.f64 (.f64 x x) x #s(literal 1/27 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64)))) (fma.f64 (.f64 x x) x #s(literal -1/27 binary64))) (-.f64 #s(literal 1/9 binary64) (.f64 (-.f64 x #s(literal 1/3 binary64)) x)))
(/.f64 (.f64 (fma.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) (.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal -1/81 binary64)) (fma.f64 (.f64 x x) x #s(literal -1/27 binary64))) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal -1/729 binary64)) (fma.f64 (.f64 x x) x #s(literal -1/27 binary64))) (fma.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal -1/729 binary64)) (fma.f64 (.f64 x x) x #s(literal -1/27 binary64))) (fma.f64 (.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64))))) (-.f64 #s(literal 1/9 binary64) (.f64 (-.f64 x #s(literal 1/3 binary64)) x)))
(/.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) (.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal -1/81 binary64))) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (fma.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal -1/9 binary64)) #s(literal 1/81 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)) (-.f64 (pow.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 3 binary64)) #s(literal -1/729 binary64))) (fma.f64 (.f64 (.f64 (-.f64 x #s(literal 1/3 binary64)) x) x) (-.f64 x #s(literal 1/3 binary64)) (-.f64 #s(literal 1/81 binary64) (.f64 (*.f64 (-.f64 x #s(literal 1/3 binary64)) x) #s(literal 1/9 binary64)))))
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#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) (.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) x)) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/3 binary64) x))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) (.f64 (.f64 (.f64 x x) (.f64 (*.f64 x x) x)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x))))
#s(approx (* (+ (* (* x x) x) -1/27) (+ (* (- x 1/3) x) 1/9)) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 #s(literal 1/9 binary64) (/.f64 #s(literal 1/27 binary64) x)) x)) x)) (.f64 (.f64 x x) (.f64 (*.f64 x x) x))))
#s(approx (+ (* (* x x) x) -1/27) (.f64 (.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/27 binary64) (.f64 (.f64 x x) x))) (*.f64 x x)) x))
#s(approx (+ (* (- x 1/3) x) 1/9) (.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/3 binary64) (/.f64 #s(literal 1/9 binary64) x)) x)) (.f64 x x)))

eval32.0ms (2.1%)

Memory: -33.6MiB live, 69.0MiB allocated; 12ms collecting garbage
Compiler: Compiled 2 717 to 931 computations (65.7% saved)

prune6.0ms (0.4%)

Memory

15.7MiB live, 15.7MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	231	1	232
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	232	5	237

Accuracy

100.0%

Counts

237 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
	51.0%	(/.f64 #s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(literal -1/729 binary64)) (.f64 #s(approx (+ ( (* x x) x) -1/27) #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
✓	51.1%	(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x #s(approx (- x 1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
✓	100.0%	(-.f64 x #s(literal -1/3 binary64))
✓	49.3%	#s(approx (+ x (/ 1 3)) x)
✓	51.7%	#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Compiler

Compiled 116 to 98 computations (15.5% saved)

regimes7.0ms (0.4%)

Memory

14.5MiB live, 14.5MiB allocated; 0ms collecting garbage

Counts

10 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
#s(approx (+ x (/ 1 3)) x)
(-.f64 x #s(literal -1/3 binary64))
(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))
(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x #s(approx (- x 1/3) #s(literal -1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 #s(approx (+ (* (* x x) x) 1/27) #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 #s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(literal -1/729 binary64)) (.f64 #s(approx (+ ( (* x x) x) -1/27) #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(/.f64 (fma.f64 (*.f64 x x) x #s(literal 1/27 binary64)) (fma.f64 x (-.f64 x #s(literal 1/3 binary64)) #s(literal 1/9 binary64)))
(/.f64 #s(approx (+ (* (* (* x x) x) (* (* x x) x)) -1/729) #s(literal -1/729 binary64)) (.f64 (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -1/729 binary64)) (.f64 (fma.f64 (.f64 x x) x #s(literal -1/27 binary64)) (fma.f64 (-.f64 x #s(literal 1/3 binary64)) x #s(literal 1/9 binary64))))

Outputs
(-.f64 x #s(literal -1/3 binary64))

Calls

2 calls:

3.0ms	x
3.0ms	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
100.0%	1	`(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
100.0%	1	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes3.0ms (0.2%)

Memory

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

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
#s(approx (+ x (/ 1 3)) x)

Outputs
#s(approx (+ x (/ 1 3)) x)
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))
#s(approx (+ x (/ 1 3)) x)

Calls

2 calls:

1.0ms	x
1.0ms	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
97.4%	3	`(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
97.4%	3	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

regimes2.0ms (0.1%)

Memory

4.7MiB live, 4.7MiB allocated; 0ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Outputs
#s(approx (+ x (/ 1 3)) #s(literal 1/3 binary64))

Calls

2 calls:

1.0ms	x
1.0ms	(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))

Results

Accuracy	Segments	Branch
51.7%	1	`(+.f64 x (/.f64 #s(literal 1 binary64) #s(literal 3 binary64)))`
51.7%	1	`x`

Compiler

Compiled 6 to 6 computations (0% saved)

bsearch15.0ms (1%)

Memory

-20.7MiB live, 26.4MiB allocated; 2ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
6.0ms	0.10771654796960456	2.294357236139574
8.0ms	-34.662627699250194	-0.03208931838293105

Samples

5.0ms

240×

valid

Compiler

Compiled 203 to 234 computations (-15.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 1.0ms

ival-add!: 1.0ms (96.9% of total)

adjust: 0.0ms (0% of total)

derivations8.0ms (0.5%)

Memory

12.0MiB live, 12.0MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 18 to 16 computations (11.1% saved)

preprocess21.0ms (1.4%)

Memory: -1.6MiB live, 45.2MiB allocated; 2ms collecting garbage
Compiler: Compiled 23 to 21 computations (8.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample422.0ms (27.9%)

preprocess86.0ms (5.7%)

series1.0ms (0.1%)

rewrite90.0ms (5.9%)

eval2.0ms (0.1%)

prune1.0ms (0.1%)

series5.0ms (0.3%)

rewrite244.0ms (16.1%)

eval16.0ms (1.1%)

prune7.0ms (0.5%)

series9.0ms (0.6%)

rewrite215.0ms (14.2%)

eval91.0ms (6%)

prune8.0ms (0.5%)

series9.0ms (0.6%)

rewrite216.0ms (14.2%)

eval32.0ms (2.1%)

prune6.0ms (0.4%)

regimes7.0ms (0.4%)

regimes3.0ms (0.2%)

regimes2.0ms (0.1%)

bsearch15.0ms (1%)

derivations8.0ms (0.5%)

preprocess21.0ms (1.4%)

end0.0ms (0%)

Profiling