Metrics for Data.Colour.CIE:lightness from colour-2.3.3

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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)

sample511.0ms (38.2%)

Memory

23.3MiB live, 775.0MiB allocated; 151ms collecting garbage

Samples

261.0ms	8 183×	0	valid
2.0ms	41×	1	valid
2.0ms	32×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 130.0ms

ival-mult!: 95.0ms (72.8% of total)

ival-sub!: 33.0ms (25.3% of total)

adjust: 3.0ms (2.3% of total)

Bogosity

preprocess22.0ms (1.7%)

Memory

-7.4MiB live, 39.4MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	12	16
2	16	16

Stop Event

1×

saturated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Compiler

Compiled 10 to 10 computations (0% saved)

series4.0ms (0.3%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Counts

5 → 6

Calls

Call 1

Inputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(*.f64 x #s(literal 116 binary64))
x
#s(literal 116 binary64)
#s(literal 16 binary64)

Outputs
#s(approx (- (* x 116) 16) #s(hole binary64 -16))
#s(approx (- (* x 116) 16) #s(hole binary64 (- (* 116 x) 16)))
#s(approx (* x 116) #s(hole binary64 (* 116 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* x 116) 16) #s(hole binary64 (* x (- 116 (* 16 (/ 1 x))))))
#s(approx (- (* x 116) 16) #s(hole binary64 (* -1 (* x (- (* 16 (/ 1 x)) 116)))))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((- (* x 116) 16) (* x 116) x 116 16)
2.0ms	x	@	inf	((- (* x 116) 16) (* x 116) x 116 16)
1.0ms	x	@	0	((- (* x 116) 16) (* x 116) x 116 16)

rewrite280.0ms (21%)

Memory

33.1MiB live, 319.4MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	71
0	26	65
1	97	65
2	517	65
0	5169	59

Stop Event

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

Counts

11 → 57

Calls

Call 1

Inputs
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(*.f64 x #s(literal 116 binary64))
x
#s(literal 116 binary64)
#s(literal 16 binary64)
#s(approx (- (* x 116) 16) #s(hole binary64 -16))
#s(approx (- (* x 116) 16) #s(hole binary64 (- (* 116 x) 16)))
#s(approx (* x 116) #s(hole binary64 (* 116 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* x 116) 16) #s(hole binary64 (* x (- 116 (* 16 (/ 1 x))))))
#s(approx (- (* x 116) 16) #s(hole binary64 (* -1 (* x (- (* 16 (/ 1 x)) 116)))))

Outputs
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 13456 binary64) x) x #s(literal -256 binary64)) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1560896 binary64) #s(literal 4096 binary64))) (fma.f64 (.f64 x x) #s(literal 13456 binary64) (-.f64 #s(literal 256 binary64) (.f64 #s(literal 1856 binary64) x))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 13456 binary64) x) x #s(literal -256 binary64)) (fma.f64 (*.f64 #s(literal 13456 binary64) x) x #s(literal -256 binary64))) (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1560896 binary64) #s(literal -4096 binary64)) (-.f64 (.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64)) (.f64 (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)) (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))) (-.f64 (fma.f64 (.f64 #s(literal 13456 binary64) x) x #s(literal -256 binary64)) (.f64 #s(literal 1856 binary64) x)))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1560896 binary64) #s(literal -4096 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 2436396322816 binary64) (pow.f64 (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64) (.f64 (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)) (-.f64 (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)) (.f64 (.f64 #s(literal 13456 binary64) x) x)))))
(*.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)) (/.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(.f64 (fma.f64 (.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))) (/.f64 (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)) (fma.f64 (*.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 13456 binary64) x) (/.f64 x (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)))) (.f64 (.f64 #s(literal 13456 binary64) x) (/.f64 x (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))) (.f64 (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))))) (fma.f64 (*.f64 #s(literal 13456 binary64) x) (/.f64 x (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1560896 binary64) (fma.f64 (.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))) (.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1560896 binary64) (fma.f64 (.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))))) (.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))) (/.f64 #s(literal 4096 binary64) (fma.f64 (.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))))) (fma.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1560896 binary64) (fma.f64 (.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))) (/.f64 #s(literal 4096 binary64) (fma.f64 (.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 13456 binary64) x) (/.f64 x (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 #s(literal 13456 binary64) x) (/.f64 x (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)))) (.f64 (.f64 #s(literal 13456 binary64) x) (/.f64 x (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)))) (fma.f64 (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))) (.f64 (.f64 (*.f64 #s(literal 13456 binary64) x) (/.f64 x (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)))) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1560896 binary64) (fma.f64 (.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))) #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1560896 binary64) (fma.f64 (.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))) (.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1560896 binary64) (fma.f64 (.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))) (fma.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 (.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))) (/.f64 #s(literal 4096 binary64) (fma.f64 (.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))) (.f64 (.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1560896 binary64) (fma.f64 (.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))) (/.f64 #s(literal 4096 binary64) (fma.f64 (*.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 13456 binary64) x) x) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))) (.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)) #s(literal 256 binary64))) (*.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1560896 binary64)) (fma.f64 (.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))) #s(literal 4096 binary64))) (.f64 (fma.f64 (.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))) (fma.f64 (.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 13456 binary64) x) x #s(literal -256 binary64)))) (neg.f64 (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1560896 binary64) #s(literal -4096 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))))
(/.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64) #s(literal -65536 binary64)) (.f64 (fma.f64 (*.f64 x x) #s(literal 13456 binary64) #s(literal 256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 x x) x) #s(literal 3 binary64)) #s(literal 3802961274698203136 binary64)) #s(literal 68719476736 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 2436396322816 binary64) (fma.f64 (.f64 (.f64 x x) x) #s(literal 6393430016 binary64) #s(literal 16777216 binary64))) (fma.f64 (.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 2436396322816 binary64) #s(literal -16777216 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) (.f64 x x)) #s(literal 181063936 binary64) (fma.f64 (.f64 x x) #s(literal 3444736 binary64) #s(literal 65536 binary64))) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 2436396322816 binary64) #s(literal -16777216 binary64)) (.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1560896 binary64) #s(literal 4096 binary64)) (fma.f64 (*.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 13456 binary64) x) x #s(literal -256 binary64))) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1560896 binary64) #s(literal -4096 binary64))) (neg.f64 (fma.f64 (*.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))))
(/.f64 (fma.f64 (*.f64 #s(literal 13456 binary64) x) x #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1560896 binary64) #s(literal -4096 binary64)) (fma.f64 (.f64 #s(literal 13456 binary64) x) x (-.f64 #s(literal 256 binary64) (.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1560896 binary64) #s(literal -4096 binary64)) (fma.f64 (*.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))
(neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 13456 binary64) x) x #s(literal -256 binary64)) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))))
(neg.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1560896 binary64) #s(literal -4096 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 13456 binary64) x) x #s(literal -256 binary64))) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) x) #s(literal 1560896 binary64) #s(literal -4096 binary64))) (fma.f64 (*.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal 13456 binary64) x) x) (fma.f64 (.f64 (.f64 x x) x) #s(literal 1560896 binary64) #s(literal 4096 binary64))) (fma.f64 (.f64 x x) #s(literal 13456 binary64) (-.f64 #s(literal 256 binary64) (.f64 #s(literal 1856 binary64) x))) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 #s(literal 13456 binary64) x) x) (fma.f64 (*.f64 #s(literal 13456 binary64) x) x #s(literal -256 binary64))) (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(fma.f64 (*.f64 #s(literal 13456 binary64) x) (/.f64 x (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(fma.f64 (.f64 (.f64 x x) #s(literal 116 binary64)) (/.f64 #s(literal 116 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 13456 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(fma.f64 (.f64 (fabs.f64 x) #s(literal 116 binary64)) (/.f64 (.f64 (fabs.f64 x) #s(literal 116 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(fma.f64 (.f64 #s(literal -116 binary64) x) (/.f64 (.f64 #s(literal -116 binary64) x) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(fma.f64 #s(literal 13456 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(fma.f64 (.f64 #s(literal 116 binary64) x) (/.f64 (.f64 #s(literal 116 binary64) x) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(fma.f64 #s(literal 116 binary64) (/.f64 (.f64 (.f64 x x) #s(literal 116 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(fma.f64 x (/.f64 (*.f64 #s(literal 13456 binary64) x) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(-.f64 (.f64 (.f64 #s(literal 13456 binary64) x) (/.f64 x (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)))) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))))
(-.f64 (.f64 (.f64 (.f64 x x) x) (/.f64 #s(literal 1560896 binary64) (fma.f64 (.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64))))) (/.f64 #s(literal 4096 binary64) (fma.f64 (*.f64 #s(literal 13456 binary64) x) x (fma.f64 #s(literal 1856 binary64) x #s(literal 256 binary64)))))
(-.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))
(+.f64 (.f64 (.f64 #s(literal 13456 binary64) x) (/.f64 x (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)))) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(+.f64 #s(literal -16 binary64) (*.f64 #s(literal 116 binary64) x))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(*.f64 #s(literal 116 binary64) x)
(*.f64 x #s(literal 116 binary64))
x
#s(literal 116 binary64)
#s(literal 16 binary64)
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(approx (- (* x 116) 16) (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)))
#s(approx (* x 116) (*.f64 #s(literal 116 binary64) x))
#s(approx x x)
#s(approx (- (* x 116) 16) (*.f64 (-.f64 #s(literal 116 binary64) (/.f64 #s(literal 16 binary64) x)) x))
#s(approx (- (* x 116) 16) (*.f64 (-.f64 #s(literal 116 binary64) (/.f64 #s(literal 16 binary64) x)) x))

eval13.0ms (1%)

Memory: -10.1MiB live, 34.2MiB allocated; 5ms collecting garbage
Compiler: Compiled 1 247 to 194 computations (84.4% saved)

prune3.0ms (0.2%)

Memory

9.0MiB live, 9.0MiB allocated; 0ms collecting garbage

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	51	2	53

Accuracy

100.0%

Counts

53 → 2

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
▶	49.2%	#s(approx (- (* x 116) 16) #s(literal -16 binary64))

Compiler

Compiled 11 to 11 computations (0% saved)

series2.0ms (0.1%)

Memory

5.0MiB live, 5.0MiB allocated; 0ms collecting garbage

Counts

5 → 6

Calls

Call 1

Inputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(literal -16 binary64)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
x
#s(literal 116 binary64)

Outputs
#s(approx (- (* x 116) 16) #s(hole binary64 -16))
#s(approx (- (* x 116) 16) #s(hole binary64 (- (* 116 x) 16)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* x 116) 16) #s(hole binary64 (* 116 x)))
#s(approx (- (* x 116) 16) #s(hole binary64 (* x (- 116 (* 16 (/ 1 x))))))
#s(approx (- (* x 116) 16) #s(hole binary64 (* -1 (* x (- (* 16 (/ 1 x)) 116)))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- (* x 116) 16) -16 (+ (* x 116) -16) x 116)
0.0ms	x	@	inf	((- (* x 116) 16) -16 (+ (* x 116) -16) x 116)
0.0ms	x	@	0	((- (* x 116) 16) -16 (+ (* x 116) -16) x 116)

rewrite85.0ms (6.4%)

Memory

3.2MiB live, 196.1MiB allocated; 18ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	24	76
0	25	71
1	107	64
0	610	64

Stop Event

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

Counts

11 → 28

Calls

Call 1

Inputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(literal -16 binary64)
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
x
#s(literal 116 binary64)
#s(approx (- (* x 116) 16) #s(hole binary64 -16))
#s(approx (- (* x 116) 16) #s(hole binary64 (- (* 116 x) 16)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* x 116) 16) #s(hole binary64 (* 116 x)))
#s(approx (- (* x 116) 16) #s(hole binary64 (* x (- 116 (* 16 (/ 1 x))))))
#s(approx (- (* x 116) 16) #s(hole binary64 (* -1 (* x (- (* 16 (/ 1 x)) 116)))))

Outputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(literal -16 binary64)
(/.f64 (-.f64 #s(literal 256 binary64) (.f64 (.f64 x x) #s(literal 13456 binary64))) (-.f64 #s(literal -16 binary64) (*.f64 #s(literal 116 binary64) x)))
(/.f64 (neg.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 13456 binary64)) (.f64 #s(literal 116 binary64) x)) #s(literal 4096 binary64))) (neg.f64 (fma.f64 (*.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
(/.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 13456 binary64) #s(literal -256 binary64))) (neg.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 13456 binary64)) (.f64 #s(literal 116 binary64) x) #s(literal -4096 binary64))) (neg.f64 (fma.f64 (.f64 x x) #s(literal 13456 binary64) (-.f64 #s(literal 256 binary64) (*.f64 x #s(literal -1856 binary64))))))
(/.f64 (fma.f64 (*.f64 x x) #s(literal 13456 binary64) #s(literal -256 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 13456 binary64)) (.f64 #s(literal 116 binary64) x) #s(literal -4096 binary64)) (+.f64 #s(literal 256 binary64) (-.f64 (.f64 (.f64 x x) #s(literal 13456 binary64)) (.f64 x #s(literal -1856 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 13456 binary64)) (.f64 #s(literal 116 binary64) x) #s(literal -4096 binary64)) (fma.f64 (.f64 x x) #s(literal 13456 binary64) (-.f64 #s(literal 256 binary64) (*.f64 x #s(literal -1856 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 x x) #s(literal 13456 binary64)) (.f64 #s(literal 116 binary64) x)) #s(literal 4096 binary64)) (fma.f64 (*.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(-.f64 (/.f64 (.f64 (.f64 x x) #s(literal 13456 binary64)) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))) (/.f64 #s(literal 256 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 13456 binary64)) (.f64 #s(literal 116 binary64) x)) (fma.f64 (.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))) (/.f64 #s(literal 4096 binary64) (fma.f64 (.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
(-.f64 #s(literal -16 binary64) (*.f64 #s(literal -116 binary64) x))
(-.f64 #s(literal -16 binary64) (*.f64 (neg.f64 x) #s(literal 116 binary64)))
(-.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))
(+.f64 (/.f64 (.f64 (.f64 (.f64 x x) #s(literal 13456 binary64)) (.f64 #s(literal 116 binary64) x)) (fma.f64 (.f64 x x) #s(literal 13456 binary64) (-.f64 #s(literal 256 binary64) (.f64 x #s(literal -1856 binary64))))) (/.f64 #s(literal -4096 binary64) (fma.f64 (.f64 x x) #s(literal 13456 binary64) (-.f64 #s(literal 256 binary64) (.f64 x #s(literal -1856 binary64))))))
(+.f64 #s(literal -16 binary64) (*.f64 #s(literal 116 binary64) x))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
x
#s(literal 116 binary64)
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(approx (- (* x 116) 16) (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)))
#s(approx x x)
#s(approx (- (* x 116) 16) (*.f64 #s(literal 116 binary64) x))
#s(approx (- (* x 116) 16) (*.f64 (-.f64 #s(literal 116 binary64) (/.f64 #s(literal 16 binary64) x)) x))
#s(approx (- (* x 116) 16) (*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 16 binary64) x) #s(literal 116 binary64))))

eval7.0ms (0.5%)

Memory: -25.4MiB live, 19.6MiB allocated; 4ms collecting garbage
Compiler: Compiled 310 to 76 computations (75.5% saved)

prune2.0ms (0.2%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	21	1	22
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	21	3	24

Accuracy

100.0%

Counts

24 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
▶	52.4%	#s(approx (- (* x 116) 16) (*.f64 #s(literal 116 binary64) x))
✓	49.2%	#s(approx (- (* x 116) 16) #s(literal -16 binary64))

Compiler

Compiled 20 to 19 computations (5% saved)

series2.0ms (0.2%)

Memory

6.9MiB live, 6.9MiB allocated; 0ms collecting garbage

Counts

4 → 6

Calls

Call 1

Inputs
#s(approx (- (* x 116) 16) (*.f64 #s(literal 116 binary64) x))
(*.f64 #s(literal 116 binary64) x)
#s(literal 116 binary64)
x

Outputs
#s(approx (- (* x 116) 16) #s(hole binary64 -16))
#s(approx (- (* x 116) 16) #s(hole binary64 (- (* 116 x) 16)))
#s(approx (* 116 x) #s(hole binary64 (* 116 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* x 116) 16) #s(hole binary64 (* x (- 116 (* 16 (/ 1 x))))))
#s(approx (- (* x 116) 16) #s(hole binary64 (* -1 (* x (- (* 16 (/ 1 x)) 116)))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((- (* x 116) 16) (* 116 x) 116 x)
1.0ms	x	@	inf	((- (* x 116) 16) (* 116 x) 116 x)
0.0ms	x	@	0	((- (* x 116) 16) (* 116 x) 116 x)

rewrite287.0ms (21.5%)

Memory

-14.1MiB live, 326.0MiB allocated; 181ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	74
0	26	68
1	96	68
2	516	68
0	5180	62

Stop Event

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

Counts

10 → 11

Calls

Call 1

Inputs
#s(approx (- (* x 116) 16) (*.f64 #s(literal 116 binary64) x))
(*.f64 #s(literal 116 binary64) x)
#s(literal 116 binary64)
x
#s(approx (- (* x 116) 16) #s(hole binary64 -16))
#s(approx (- (* x 116) 16) #s(hole binary64 (- (* 116 x) 16)))
#s(approx (* 116 x) #s(hole binary64 (* 116 x)))
#s(approx x #s(hole binary64 x))
#s(approx (- (* x 116) 16) #s(hole binary64 (* x (- 116 (* 16 (/ 1 x))))))
#s(approx (- (* x 116) 16) #s(hole binary64 (* -1 (* x (- (* 16 (/ 1 x)) 116)))))

Outputs
#s(approx (- (* x 116) 16) (*.f64 #s(literal 116 binary64) x))
(*.f64 #s(literal 116 binary64) x)
(*.f64 x #s(literal 116 binary64))
#s(literal 116 binary64)
x
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(approx (- (* x 116) 16) (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)))
#s(approx (* 116 x) (*.f64 #s(literal 116 binary64) x))
#s(approx x x)
#s(approx (- (* x 116) 16) (*.f64 (-.f64 #s(literal 116 binary64) (/.f64 #s(literal 16 binary64) x)) x))
#s(approx (- (* x 116) 16) (*.f64 (-.f64 #s(literal 116 binary64) (/.f64 #s(literal 16 binary64) x)) x))

eval1.0ms (0%)

Memory: 2.4MiB live, 2.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 56 to 23 computations (58.9% saved)

prune1.0ms (0.1%)

Memory

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

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	5	0	5
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	5	3	8

Accuracy

100.0%

Counts

8 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
✓	52.4%	#s(approx (- (* x 116) 16) (*.f64 #s(literal 116 binary64) x))
✓	49.2%	#s(approx (- (* x 116) 16) #s(literal -16 binary64))

Compiler

Compiled 20 to 19 computations (5% saved)

regimes15.0ms (1.1%)

Memory

8.3MiB live, 54.7MiB allocated; 3ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

2 → 3

4 → 1

Calls

Call 1

Inputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))

Outputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))

Call 2

Inputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(approx (- (* x 116) 16) (*.f64 #s(literal 116 binary64) x))

Outputs
#s(approx (- (* x 116) 16) (*.f64 #s(literal 116 binary64) x))
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(approx (- (* x 116) 16) (*.f64 #s(literal 116 binary64) x))

Call 3

Inputs
#s(approx (- (* x 116) 16) #s(literal -16 binary64))
#s(approx (- (* x 116) 16) (*.f64 #s(literal 116 binary64) x))
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Outputs
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))

Calls

9 calls:

3.0ms	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
2.0ms	(*.f64 x #s(literal 116 binary64))
2.0ms	x
1.0ms	x
1.0ms	(*.f64 x #s(literal 116 binary64))

Results

Accuracy	Segments	Branch
49.2%	1	`(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))`
49.2%	1	`(*.f64 x #s(literal 116 binary64))`
49.2%	1	`x`
97.9%	3	`(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))`
97.9%	3	`(*.f64 x #s(literal 116 binary64))`
97.9%	3	`x`
100.0%	1	`(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))`
100.0%	1	`(*.f64 x #s(literal 116 binary64))`
100.0%	1	`x`

Compiler

Compiled 52 to 41 computations (21.2% saved)

bsearch31.0ms (2.3%)

Memory

-21.5MiB live, 71.5MiB allocated; 20ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	2.392015036366733e-20	4.047920404007436
13.0ms	-30.922400745989005	-1.4816144486072554e-5

Samples

12.0ms

320×

valid

Compiler

Compiled 328 to 349 computations (-6.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult!: 6.0ms (95.3% of total)

ival-sub!: 1.0ms (15.9% of total)

adjust: 0.0ms (0% of total)

derivations48.0ms (3.6%)

Memory

3.4MiB live, 95.0MiB allocated; 8ms collecting garbage

Stop Event

1×

done

Compiler

Compiled 44 to 17 computations (61.4% saved)

preprocess21.0ms (1.6%)

Memory: 40.7MiB live, 84.6MiB allocated; 5ms collecting garbage
Compiler: Compiled 49 to 22 computations (55.1% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample511.0ms (38.2%)

preprocess22.0ms (1.7%)

series4.0ms (0.3%)

rewrite280.0ms (21%)

eval13.0ms (1%)

prune3.0ms (0.2%)

series2.0ms (0.1%)

rewrite85.0ms (6.4%)

eval7.0ms (0.5%)

prune2.0ms (0.2%)

series2.0ms (0.2%)

rewrite287.0ms (21.5%)

eval1.0ms (0%)

prune1.0ms (0.1%)

regimes15.0ms (1.1%)

bsearch31.0ms (2.3%)

derivations48.0ms (3.6%)

preprocess21.0ms (1.6%)

end0.0ms (0%)

Profiling