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

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

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)

sample533.0ms (20.1%)

Memory

24.8MiB live, 685.6MiB allocated

Samples

316.0ms	8 194×	0	valid
3.0ms	36×	1	valid
2.0ms	26×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-mult: 112.0ms (64.4% of total)

ival-sub: 45.0ms (25.9% of total)

exact: 8.0ms (4.6% of total)

ival-true: 5.0ms (2.9% of total)

ival-assert: 3.0ms (1.7% of total)

adjust: 1.0ms (0.6% of total)

Bogosity

preprocess18.0ms (0.7%)

Memory

-6.1MiB live, 30.8MiB allocated

Algorithm

1×	egg-herbie

Rules

22×	`cancel-sign-sub-inv`
20×	`distribute-lft-neg-in`
20×	`sub-neg`
14×	`distribute-rgt-neg-in`
14×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	19	11
2	45	10
3	96	10
4	145	10
5	164	10
6	172	10
0	5	5
0	7	5
1	11	5
2	12	5
0	12	4

Stop Event

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

Calls

Call 1

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

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

explain56.0ms (2.1%)

Memory

-6.7MiB live, 110.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))`
-	-	`#s(literal 16 binary64)`
-	-	`(*.f64 x #s(literal 116 binary64))`
-	-	`#s(literal 116 binary64)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

22.0ms	508×	0	valid
0.0ms	2×	2	valid
0.0ms	2×	1	valid

Compiler

Compiled 38 to 24 computations (36.8% saved)

Precisions

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

ival-mult: 3.0ms (42.2% of total)

ival-sub: 3.0ms (42.2% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

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 6 to 5 computations (16.7% saved)

simplify5.0ms (0.2%)

Memory

9.6MiB live, 9.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 x #s(literal 116 binary64))
✓	cost-diff	128	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Rules

4×	`lower-fma.f64`
4×	`lower-+.f64`
4×	`lower-fma.f32`
4×	`lower-*.f32`
4×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	11	11
2	12	11
0	12	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

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

localize19.0ms (0.7%)

Memory

-0.1MiB live, 38.3MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f64 x #s(literal 116 binary64))
✓	accuracy	100.0%	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Samples

8.0ms	254×	0	valid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (55% of total)

ival-sub: 1.0ms (27.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory

4.3MiB live, 4.3MiB allocated

Counts

2 → 24

Calls

Call 1

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

Outputs
#<alt -16>
#<alt (- (* 116 x) 16)>
#<alt (- (* 116 x) 16)>
#<alt (- (* 116 x) 16)>
#<alt (* 116 x)>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* 116 x)>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>

Calls

6 calls:

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

rewrite834.0ms (31.5%)

Memory

0.3MiB live, 714.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 662×	`lower-fma.f64`
9 662×	`lower-fma.f32`
4 548×	`lower-/.f64`
4 548×	`lower-/.f32`
4 348×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	26	8
2	152	8
3	1211	8
0	8291	7

Stop Event

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

Counts

2 → 298

Calls

Call 1

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

Outputs
(+.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -16 binary64))
(+.f64 #s(literal -16 binary64) (*.f64 x #s(literal 116 binary64)))
(+.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1560896 binary64) (fma.f64 (.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))))) (neg.f64 (/.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 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))
(-.f64 (.f64 (.f64 x (.f64 x x)) (/.f64 #s(literal 1560896 binary64) (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 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))) (/.f64 #s(literal -256 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))
(-.f64 (/.f64 #s(literal 256 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 3802961274698203136 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64) #s(literal 16777216 binary64)))) (fma.f64 (.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))) (/.f64 (/.f64 #s(literal 68719476736 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64) #s(literal 16777216 binary64)))) (fma.f64 (*.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #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 (/.f64 #s(literal 16777216 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #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 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) (+.f64 #s(literal 256 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) (.f64 x #s(literal 1856 binary64))))) (/.f64 #s(literal 4096 binary64) (+.f64 #s(literal 256 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) (*.f64 x #s(literal 1856 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 3802961274698203136 binary64)) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64) #s(literal 16777216 binary64)))) (+.f64 #s(literal 256 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) (.f64 x #s(literal 1856 binary64))))) (/.f64 (/.f64 #s(literal 68719476736 binary64) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64) #s(literal 16777216 binary64)))) (+.f64 #s(literal 256 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) (*.f64 x #s(literal 1856 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal 4096 binary64))) (+.f64 #s(literal 256 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) (.f64 x #s(literal 1856 binary64))))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal 4096 binary64))) (+.f64 #s(literal 256 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) (.f64 x #s(literal 1856 binary64))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)) (fma.f64 (.f64 x x) #s(literal 3444736 binary64) #s(literal 65536 binary64)))) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)) (fma.f64 (.f64 x x) #s(literal 3444736 binary64) #s(literal 65536 binary64)))) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64))) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))) (/.f64 (/.f64 #s(literal 65536 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64))) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))) (neg.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))) (neg.f64 (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (.f64 (fma.f64 (.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal 4096 binary64)))) (/.f64 #s(literal 16777216 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal 4096 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (.f64 (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)) (fma.f64 (.f64 x x) #s(literal 3444736 binary64) #s(literal 65536 binary64))))) (/.f64 #s(literal 16777216 binary64) (.f64 (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)) (fma.f64 (.f64 x x) #s(literal 3444736 binary64) #s(literal 65536 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 3802961274698203136 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 6393430016 binary64) #s(literal 16777216 binary64))))) (/.f64 #s(literal 68719476736 binary64) (.f64 (fma.f64 (.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64)) (fma.f64 (.f64 x (*.f64 x x)) #s(literal 6393430016 binary64) #s(literal 16777216 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (.f64 (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64)) (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64)))) (/.f64 #s(literal 65536 binary64) (.f64 (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64)) (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) (fma.f64 (.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))) (.f64 (fma.f64 (.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))) (fma.f64 (.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))))) (/.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))) #s(literal 4096 binary64)) (.f64 (fma.f64 (.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))) (fma.f64 (*.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))))))
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(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)) #s(literal -65536 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal 4096 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) (-.f64 #s(literal 256 binary64) (*.f64 x #s(literal 1856 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.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 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal -4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64))) (fma.f64 (*.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)) #s(literal -65536 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64))) (fma.f64 x #s(literal 116 binary64) #s(literal 16 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)) #s(literal -65536 binary64)) (/.f64 (fma.f64 #s(literal -13456 binary64) (.f64 x x) #s(literal 256 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal -4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64))) (-.f64 (.f64 #s(literal -13456 binary64) (.f64 x x)) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.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 -13456 binary64) (.f64 x x) #s(literal 256 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (*.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64))) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 13456 binary64) #s(literal -256 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal 13456 binary64) #s(literal -256 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal -4096 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 13456 binary64) #s(literal -256 binary64)) (/.f64 (fma.f64 #s(literal -13456 binary64) (.f64 x x) #s(literal 256 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 1560896 binary64) #s(literal -4096 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x x) #s(literal 13456 binary64) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x x) #s(literal 13456 binary64) #s(literal -256 binary64)) (/.f64 (fma.f64 (.f64 x x) #s(literal 13456 binary64) #s(literal -256 binary64)) (fma.f64 #s(literal -13456 binary64) (.f64 x x) #s(literal 256 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -16 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal 116 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 116 binary64))) #s(literal 1 binary64)))
(pow.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 116 binary64))
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 116 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 116 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 116 binary64))) (exp.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 x #s(literal 116 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 1/2 binary64)))

simplify20.0ms (0.8%)

Memory

-6.2MiB live, 37.1MiB allocated

Algorithm

1×	egg-herbie

Rules

180×	`lower-fma.f64`
180×	`lower-fma.f32`
132×	`lower-*.f64`
132×	`lower-*.f32`
72×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
-16
(- (* 116 x) 16)
(- (* 116 x) 16)
(- (* 116 x) 16)
(* 116 x)
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* 116 x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)

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

eval41.0ms (1.5%)

Memory: -5.9MiB live, 109.3MiB allocated
Compiler: Compiled 12 591 to 885 computations (93% saved)

prune38.0ms (1.4%)

Memory

-14.0MiB live, 89.5MiB allocated

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	319	3	322
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	320	3	323

Accuracy

100.0%

Counts

323 → 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))
▶	60.0%	(*.f64 #s(literal 116 binary64) x)
▶	41.6%	#s(literal -16 binary64)

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify5.0ms (0.2%)

Memory

8.2MiB live, 8.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
✓	cost-diff	0	(*.f64 #s(literal 116 binary64) x)

Rules

4×	`lower-+.f64`
4×	`lower-fma.f32`
4×	`lower-*.f32`
4×	`lower-+.f32`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	13
0	8	13
1	9	13
0	9	13

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.7%)

Memory

0.3MiB live, 39.4MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
✓	accuracy	100.0%	(*.f64 #s(literal 116 binary64) x)

Samples

11.0ms	254×	0	valid
0.0ms	1×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 16 to 8 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-mult: 3.0ms (58.6% of total)

ival-add: 1.0ms (19.5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (*.f64 #s(literal 116 binary64) x)>
#<alt (fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))>

Outputs
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt (* 116 x)>
#<alt -16>
#<alt (- (* 116 x) 16)>
#<alt (- (* 116 x) 16)>
#<alt (- (* 116 x) 16)>
#<alt (* 116 x)>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* x (- 116 (* 16 (/ 1 x))))>
#<alt (* 116 x)>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>
#<alt (* -1 (* x (- (* 16 (/ 1 x)) 116)))>

Calls

6 calls:

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

rewrite721.0ms (27.2%)

Memory

3.0MiB live, 609.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 628×	`lower-fma.f32`
10 626×	`lower-fma.f64`
4 272×	`lower-/.f64`
4 272×	`lower-/.f32`
4 234×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
0	8	7
1	24	7
2	149	7
3	1215	7
0	8417	7

Stop Event

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

Counts

2 → 219

Calls

Call 1

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

Outputs
(exp.f64 (log.f64 (*.f64 #s(literal 116 binary64) x)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 116 binary64) x)) #s(literal 1 binary64)))
(pow.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 116 binary64) x)
(*.f64 #s(literal 116 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 x #s(literal 116 binary64))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 116 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 116 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 116 binary64))) (exp.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 #s(literal 116 binary64) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 1/2 binary64)))
(+.f64 #s(literal -16 binary64) (*.f64 #s(literal 116 binary64) x))
(+.f64 (*.f64 #s(literal 116 binary64) x) #s(literal -16 binary64))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))) (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal -116 binary64) #s(literal -16 binary64))))
(+.f64 (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal -116 binary64) #s(literal -16 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64)))) #s(literal -1 binary64)))
(-.f64 (*.f64 #s(literal 116 binary64) x) #s(literal 16 binary64))
(-.f64 (/.f64 (.f64 x (.f64 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 #s(literal 0 binary64) (fma.f64 x #s(literal -116 binary64) #s(literal 16 binary64)))
(-.f64 (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal -116 binary64) #s(literal -16 binary64))) (/.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (fma.f64 x #s(literal -116 binary64) #s(literal -16 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (fma.f64 #s(literal 1560896 binary64) (.f64 x (.f64 x x)) #s(literal 4096 binary64))) (fma.f64 x (fma.f64 x #s(literal 13456 binary64) #s(literal 1856 binary64)) #s(literal 256 binary64))) (/.f64 (/.f64 #s(literal -16777216 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64) #s(literal -4096 binary64))) (fma.f64 x (fma.f64 x #s(literal 13456 binary64) #s(literal 1856 binary64)) #s(literal 256 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (fma.f64 (.f64 x x) (.f64 (.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 (/.f64 #s(literal 16777216 binary64) (fma.f64 (.f64 x x) (.f64 (.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 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64))) (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64))) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))) (/.f64 (/.f64 #s(literal -65536 binary64) (fma.f64 x (.f64 x #s(literal -13456 binary64)) #s(literal -256 binary64))) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 13456 binary64) #s(literal 1856 binary64)) #s(literal 256 binary64)))) (fma.f64 x #s(literal -116 binary64) #s(literal 16 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x #s(literal -116 binary64) #s(literal -16 binary64))) (fma.f64 x #s(literal -116 binary64) #s(literal 16 binary64)))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (.f64 (fma.f64 x (fma.f64 x #s(literal 13456 binary64) #s(literal 1856 binary64)) #s(literal 256 binary64)) (fma.f64 #s(literal 1560896 binary64) (.f64 x (.f64 x x)) #s(literal 4096 binary64)))) (/.f64 #s(literal 16777216 binary64) (.f64 (fma.f64 x (fma.f64 x #s(literal 13456 binary64) #s(literal 1856 binary64)) #s(literal 256 binary64)) (fma.f64 #s(literal 1560896 binary64) (.f64 x (.f64 x x)) #s(literal 4096 binary64)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64))) (.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)) (fma.f64 (.f64 x x) #s(literal 3444736 binary64) #s(literal 65536 binary64))))) (/.f64 #s(literal 16777216 binary64) (.f64 (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64)) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)) (fma.f64 (.f64 x x) #s(literal 3444736 binary64) #s(literal 65536 binary64))))))
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(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64)) #s(literal -16777216 binary64)) (.f64 (fma.f64 x (fma.f64 x #s(literal 13456 binary64) #s(literal 1856 binary64)) #s(literal 256 binary64)) (-.f64 (.f64 x (.f64 x #s(literal 13456 binary64))) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64) #s(literal -4096 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 x (.f64 x #s(literal -13456 binary64)) (fma.f64 x #s(literal 1856 binary64) #s(literal 256 binary64))))))
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(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 2436396322816 binary64)) #s(literal -16777216 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal -256 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64) #s(literal 4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)) (fma.f64 (*.f64 x x) #s(literal 3444736 binary64) #s(literal 65536 binary64)))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 13456 binary64) #s(literal 1856 binary64)) #s(literal 256 binary64)))))
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(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)) #s(literal -65536 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal -256 binary64)) (fma.f64 #s(literal 1560896 binary64) (.f64 x (.f64 x x)) #s(literal -4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64))) (fma.f64 x (fma.f64 x #s(literal 13456 binary64) #s(literal 1856 binary64)) #s(literal 256 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 181063936 binary64)) #s(literal -65536 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal -256 binary64)) (fma.f64 (.f64 x (.f64 x x)) #s(literal -1560896 binary64) #s(literal 4096 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64))) (neg.f64 (fma.f64 x (fma.f64 x #s(literal 13456 binary64) #s(literal 1856 binary64)) #s(literal 256 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal -256 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal -256 binary64)) (fma.f64 #s(literal 1560896 binary64) (.f64 x (*.f64 x x)) #s(literal -4096 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (fma.f64 x #s(literal 13456 binary64) #s(literal 1856 binary64)) #s(literal 256 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal -256 binary64)) (/.f64 (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal -256 binary64)) (fma.f64 (.f64 x (*.f64 x x)) #s(literal -1560896 binary64) #s(literal 4096 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 x (fma.f64 x #s(literal 13456 binary64) #s(literal 1856 binary64)) #s(literal 256 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal -256 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal 16 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))) #s(literal -1/2 binary64)))

simplify48.0ms (1.8%)

Memory

-22.5MiB live, 15.7MiB allocated

Algorithm

1×	egg-herbie

Rules

180×	`lower-fma.f64`
180×	`lower-fma.f32`
132×	`lower-*.f64`
132×	`lower-*.f32`
72×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
(* 116 x)
-16
(- (* 116 x) 16)
(- (* 116 x) 16)
(- (* 116 x) 16)
(* 116 x)
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* x (- 116 (* 16 (/ 1 x))))
(* 116 x)
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))

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

eval53.0ms (2%)

Memory: 26.0MiB live, 63.3MiB allocated
Compiler: Compiled 6 879 to 619 computations (91% saved)

prune29.0ms (1.1%)

Memory

5.7MiB live, 45.2MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	243	0	243
Fresh	0	0	0
Picked	0	3	3
Done	0	0	0
Total	243	3	246

Accuracy

100.0%

Counts

246 → 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))
✓	60.0%	(*.f64 #s(literal 116 binary64) x)
✓	41.6%	#s(literal -16 binary64)

Compiler

Compiled 25 to 17 computations (32% saved)

regimes11.0ms (0.4%)

Memory

-27.6MiB live, 11.1MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(literal -16 binary64)
(*.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

3 calls:

6.0ms	(*.f64 x #s(literal 116 binary64))
2.0ms	x
2.0ms	(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))

Results

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

Compiler

Compiled 12 to 9 computations (25% saved)

regimes5.0ms (0.2%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

2 → 3

Calls

Call 1

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
98.1%	3	`x`
98.1%	3	`(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))`
98.1%	3	`(*.f64 x #s(literal 116 binary64))`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes4.0ms (0.2%)

Memory

11.8MiB live, 11.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -16 binary64)

Outputs
#s(literal -16 binary64)

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
41.6%	1	`x`
41.6%	1	`(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))`
41.6%	1	`(*.f64 x #s(literal 116 binary64))`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.1266917386132305e-6	1836.4937240874306
0.0ms	-441975935.66285574	-0.22472584088552613

Compiler

Compiled 9 to 9 computations (0% saved)

simplify7.0ms (0.3%)

Memory

-22.9MiB live, 15.2MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	24
1	14	24

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 x #s(literal 116 binary64)) #s(literal -400000000 binary64)) (*.f64 #s(literal 116 binary64) x) (if (<=.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 4722366482869645/1180591620717411303424 binary64)) #s(literal -16 binary64) (*.f64 #s(literal 116 binary64) x)))

#s(literal -16 binary64)

Outputs
(fma.f64 x #s(literal 116 binary64) #s(literal -16 binary64))
(if (<=.f64 (.f64 x #s(literal 116 binary64)) #s(literal -400000000 binary64)) (.f64 #s(literal 116 binary64) x) (if (<=.f64 (.f64 x #s(literal 116 binary64)) #s(literal 4722366482869645/1180591620717411303424 binary64)) #s(literal -16 binary64) (.f64 #s(literal 116 binary64) x)))
(if (<=.f64 (.f64 x #s(literal 116 binary64)) #s(literal -400000000 binary64)) (.f64 x #s(literal 116 binary64)) (if (<=.f64 (.f64 x #s(literal 116 binary64)) #s(literal 4722366482869645/1180591620717411303424 binary64)) #s(literal -16 binary64) (.f64 x #s(literal 116 binary64))))
#s(literal -16 binary64)

soundness136.0ms (5.1%)

Memory

4.0MiB live, 157.3MiB allocated

Rules

9 662×	`lower-fma.f64`
9 662×	`lower-fma.f32`
4 548×	`lower-/.f64`
4 548×	`lower-/.f32`
4 348×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	26	8
2	152	8
3	1211	8
0	8291	7
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Stop Event

1×	done
1×	iter limit
1×	saturated
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 38 to 22 computations (42.1% saved)

preprocess45.0ms (1.7%)

Memory: 22.4MiB live, 103.4MiB allocated
Compiler: Compiled 62 to 32 computations (48.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

analyze0.0ms (0%)

sample533.0ms (20.1%)

preprocess18.0ms (0.7%)

explain56.0ms (2.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.2%)

localize19.0ms (0.7%)

series2.0ms (0.1%)

rewrite834.0ms (31.5%)

simplify20.0ms (0.8%)

eval41.0ms (1.5%)

prune38.0ms (1.4%)

simplify5.0ms (0.2%)

localize19.0ms (0.7%)

series0.0ms (0%)

rewrite721.0ms (27.2%)

simplify48.0ms (1.8%)

eval53.0ms (2%)

prune29.0ms (1.1%)

regimes11.0ms (0.4%)

regimes5.0ms (0.2%)

regimes4.0ms (0.2%)

bsearch0.0ms (0%)

simplify7.0ms (0.3%)

soundness136.0ms (5.1%)

preprocess45.0ms (1.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79

Iter	Nodes	Cost
0	15	88
1	36	88
2	78	88
3	168	88
4	264	88
5	294	88
6	356	88
7	406	88
8	442	88
9	451	88
10	455	88
0	455	79