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

analyze0.0ms (0%)

Memory

0.5MiB live, 0.5MiB 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)

sample850.0ms (31.4%)

Memory

30.2MiB live, 877.0MiB allocated

Samples

663.0ms	8 188×	0	valid
5.0ms	38×	1	valid
2.0ms	30×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 129.0ms

ival-mult: 65.0ms (50.4% of total)

ival-sub: 46.0ms (35.7% of total)

exact: 8.0ms (6.2% of total)

ival-true: 6.0ms (4.7% of total)

ival-assert: 3.0ms (2.3% of total)

adjust: 1.0ms (0.8% of total)

Bogosity

preprocess17.0ms (0.6%)

Memory

-4.5MiB live, 34.6MiB allocated

Algorithm

2×	egg-herbie

Rules

32×	`sub-neg`
28×	`distribute-lft-neg-in`
24×	`cancel-sign-sub-inv`
18×	`neg-mul-1`
16×	`associate-+l-`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	22	16
2	47	15
3	92	15
4	147	15
5	177	15
6	191	15
7	197	15
8	202	15
9	204	15
0	5	5
1	9	5
2	10	5
0	10	4

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (* x 116) 16)

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

Call 2

Inputs
(- (* x 116) 16)
(- (* (neg x) 116) 16)
(neg (- (* (neg x) 116) 16))

Outputs
(- (* x 116) 16)
(+ (* x 116) -16)
(- (* (neg x) 116) 16)
(+ (* x -116) -16)
(neg (- (* (neg x) 116) 16))
(+ (* x 116) 16)

explain67.0ms (2.5%)

Memory

-13.5MiB live, 125.0MiB 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

18.0ms	500×	0	valid
1.0ms	10×	1	valid
0.0ms	2×	2	valid

Compiler

Compiled 38 to 24 computations (36.8% saved)

Precisions

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

ival-mult: 4.0ms (54.4% of total)

ival-sub: 3.0ms (40.8% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB 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)

simplify4.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB 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×	`+-lowering-+.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`
4×	`+-lowering-+.f32`
4×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	9	11
2	10	11
0	10	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize16.0ms (0.6%)

Memory

1.7MiB live, 41.2MiB 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

9.0ms	250×	0	valid
0.0ms	5×	1	valid
0.0ms	1×	2	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 (54.3% of total)

ival-sub: 1.0ms (27.1% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series2.0ms (0.1%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (- (* x 116) 16)>
#<alt (* x 116)>

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)
0.0ms	x	@	0	(- (* x 116) 16)

rewrite485.0ms (18%)

Memory

-32.1MiB live, 833.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

9 662×	`accelerator-lowering-fma.f32`
9 662×	`accelerator-lowering-fma.f64`
4 548×	`/-lowering-/.f32`
4 548×	`/-lowering-/.f64`
4 348×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	24	8
2	150	8
3	1201	8
0	8296	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 298

Calls

Call 1

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

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 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) (fma.f64 x #s(literal 1856 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64)))) (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 4096 binary64) (fma.f64 x #s(literal 1856 binary64) (fma.f64 x (*.f64 x #s(literal 13456 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 0 binary64) (/.f64 #s(literal 256 binary64) (fma.f64 x #s(literal 116 binary64) #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 (.f64 x (.f64 x x)) #s(literal 1560896 binary64)) (fma.f64 x #s(literal 1856 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64)))) (/.f64 #s(literal 4096 binary64) (fma.f64 x #s(literal 1856 binary64) (fma.f64 x (*.f64 x #s(literal 13456 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 x #s(literal 116 binary64) #s(literal 16 binary64))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 116 binary64) #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 x #s(literal 1856 binary64) (fma.f64 x (.f64 x #s(literal 13456 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 x #s(literal 1856 binary64) (fma.f64 x (*.f64 x #s(literal 13456 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 x #s(literal 1856 binary64) (fma.f64 x (.f64 x #s(literal 13456 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 #s(literal 1856 binary64) (fma.f64 x (.f64 x #s(literal 13456 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)))) (-.f64 #s(literal 0 binary64) (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))) (-.f64 #s(literal 0 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 #s(literal 1856 binary64) (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 16777216 binary64) (.f64 (fma.f64 x #s(literal 1856 binary64) (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 (.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 x #s(literal 1856 binary64) (fma.f64 x (.f64 x #s(literal 13456 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 x #s(literal 1856 binary64) (fma.f64 x (.f64 x #s(literal 13456 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 x #s(literal 1856 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64)))) (.f64 (fma.f64 x #s(literal 1856 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64))) (fma.f64 x #s(literal 1856 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64))))) (/.f64 (.f64 (fma.f64 x #s(literal 1856 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64))) #s(literal 4096 binary64)) (.f64 (fma.f64 x #s(literal 1856 binary64) (fma.f64 x (.f64 x #s(literal 13456 binary64)) #s(literal 256 binary64))) (fma.f64 x #s(literal 1856 binary64) (fma.f64 x (*.f64 x #s(literal 13456 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 -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 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 #s(literal 1856 binary64) (fma.f64 x (.f64 x #s(literal 13456 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 #s(literal 1856 binary64) (fma.f64 x (.f64 x #s(literal 13456 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 -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)))

simplify22.0ms (0.8%)

Memory

-4.3MiB live, 37.0MiB allocated

Algorithm

1×	egg-herbie

Rules

180×	`accelerator-lowering-fma.f32`
180×	`accelerator-lowering-fma.f64`
132×	`-lowering-.f32`
132×	`-lowering-.f64`
72×	`+-lowering-+.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)
(fma.f64 #s(literal 116 binary64) x #s(literal 0 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))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* 116 x)
(fma.f64 #s(literal 116 binary64) x #s(literal 0 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))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* 116 x)
(fma.f64 #s(literal 116 binary64) x #s(literal 0 binary64))
(* 116 x)
(fma.f64 #s(literal 116 binary64) x #s(literal 0 binary64))
(* 116 x)
(fma.f64 #s(literal 116 binary64) x #s(literal 0 binary64))
(* 116 x)
(fma.f64 #s(literal 116 binary64) x #s(literal 0 binary64))
(* 116 x)
(fma.f64 #s(literal 116 binary64) x #s(literal 0 binary64))
(* 116 x)
(fma.f64 #s(literal 116 binary64) x #s(literal 0 binary64))
(* 116 x)
(fma.f64 #s(literal 116 binary64) x #s(literal 0 binary64))
(* 116 x)
(fma.f64 #s(literal 116 binary64) x #s(literal 0 binary64))
(* 116 x)
(fma.f64 #s(literal 116 binary64) x #s(literal 0 binary64))
(* 116 x)
(fma.f64 #s(literal 116 binary64) x #s(literal 0 binary64))
(* 116 x)
(fma.f64 #s(literal 116 binary64) x #s(literal 0 binary64))
(* 116 x)
(fma.f64 #s(literal 116 binary64) x #s(literal 0 binary64))

eval39.0ms (1.5%)

Memory: 14.0MiB live, 90.1MiB allocated
Compiler: Compiled 12 741 to 883 computations (93.1% saved)

prune35.0ms (1.3%)

Memory

10.0MiB live, 91.8MiB allocated

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	320	2	322
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	321	2	323

Accuracy

100.0%

Counts

323 → 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))
▶	43.8%	#s(literal -16 binary64)

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify5.0ms (0.2%)

Memory

-30.4MiB live, 8.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 1 expressions of interest:

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

Rules

4×	`+-lowering-+.f64`
4×	`-lowering-.f32`
4×	`-lowering-.f64`
4×	`+-lowering-+.f32`
4×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	7	9
0	7	8

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
-16
(+ (* x 116) -16)
x
116
-16

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

localize15.0ms (0.5%)

Memory

28.1MiB live, 28.1MiB allocated

Localize:

Found 1 expressions of interest:

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

Samples

8.0ms	250×	0	valid
0.0ms	5×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

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

ival-mult: 2.0ms (55.8% of total)

ival-add: 1.0ms (27.9% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Counts

1 → 12

Calls

Call 1

Inputs
#<alt (+ (* x 116) -16)>

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)))>

Calls

3 calls:

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

rewrite728.0ms (26.9%)

Memory

-26.1MiB live, 735.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

10 628×	`accelerator-lowering-fma.f32`
10 628×	`accelerator-lowering-fma.f64`
4 272×	`/-lowering-/.f32`
4 272×	`/-lowering-/.f64`
4 234×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	22	5
2	147	5
3	1221	5
0	8394	4

Stop Event

1×	iter limit
1×	node limit

Counts

1 → 209

Calls

Call 1

Inputs
(+ (* x 116) -16)

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

simplify18.0ms (0.7%)

Memory

32.0MiB live, 32.0MiB allocated

Algorithm

1×	egg-herbie

Rules

180×	`accelerator-lowering-fma.f32`
180×	`accelerator-lowering-fma.f64`
132×	`-lowering-.f32`
132×	`-lowering-.f64`
72×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	36	52
2	78	52
3	168	52
4	264	52
5	294	52
6	356	52
7	406	52
8	442	52
9	451	52
10	455	52
0	455	43

Stop Event

1×	iter limit
1×	saturated

Counts

12 → 12

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)))

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)
(fma.f64 #s(literal 116 binary64) x #s(literal 0 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))
(* x (- 116 (* 16 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))
(* 116 x)
(fma.f64 #s(literal 116 binary64) x #s(literal 0 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))
(* -1 (* x (- (* 16 (/ 1 x)) 116)))
(fma.f64 #s(literal 116 binary64) x #s(literal -16 binary64))

eval31.0ms (1.1%)

Memory: -6.8MiB live, 68.3MiB allocated
Compiler: Compiled 6 808 to 609 computations (91.1% saved)

prune88.0ms (3.3%)

Memory

-19.9MiB live, 59.7MiB allocated

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	221	0	221
Fresh	0	0	0
Picked	0	2	2
Done	0	0	0
Total	221	2	223

Accuracy

100.0%

Counts

223 → 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))
✓	43.8%	#s(literal -16 binary64)

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes6.0ms (0.2%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(literal -16 binary64)
(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:

2.0ms	(*.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)

regimes4.0ms (0.1%)

Memory

10.0MiB live, 10.0MiB 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
43.8%	1	`x`
43.8%	1	`(-.f64 (*.f64 x #s(literal 116 binary64)) #s(literal 16 binary64))`
43.8%	1	`(*.f64 x #s(literal 116 binary64))`

Compiler

Compiled 12 to 9 computations (25% saved)

simplify31.0ms (1.1%)

Memory

-24.2MiB live, 14.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness179.0ms (6.6%)

Memory

6.2MiB live, 122.0MiB allocated

Rules

9 662×	`accelerator-lowering-fma.f32`
9 662×	`accelerator-lowering-fma.f64`
4 548×	`/-lowering-/.f32`
4 548×	`/-lowering-/.f64`
4 348×	`-lowering-.f32`

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
0	5	8
1	24	8
2	150	8
3	1201	8
0	8296	7

Stop Event

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

preprocess62.0ms (2.3%)

Memory: 19.5MiB live, 58.0MiB allocated
Compiler: Compiled 24 to 18 computations (25% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	18
1	22	16
2	47	15
3	92	15
4	147	15
5	177	15
6	191	15
7	197	15
8	202	15
9	204	15
0	5	5
1	9	5
2	10	5
0	10	4

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	52
1	36	52
2	78	52
3	168	52
4	264	52
5	294	52
6	356	52
7	406	52
8	442	52
9	451	52
10	455	52
0	455	43

Iter	Nodes	Cost
0	9	18
1	22	16
2	47	15
3	92	15
4	147	15
5	177	15
6	191	15
7	197	15
8	202	15
9	204	15
0	5	5
1	9	5
2	10	5
0	10	4

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	52
1	36	52
2	78	52
3	168	52
4	264	52
5	294	52
6	356	52
7	406	52
8	442	52
9	451	52
10	455	52
0	455	43

analyze0.0ms (0%)

sample850.0ms (31.4%)

preprocess17.0ms (0.6%)

explain67.0ms (2.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize16.0ms (0.6%)

series2.0ms (0.1%)

rewrite485.0ms (18%)

simplify22.0ms (0.8%)

eval39.0ms (1.5%)

prune35.0ms (1.3%)

simplify5.0ms (0.2%)

localize15.0ms (0.5%)

series0.0ms (0%)

rewrite728.0ms (26.9%)

simplify18.0ms (0.7%)

eval31.0ms (1.1%)

prune88.0ms (3.3%)

regimes6.0ms (0.2%)

regimes4.0ms (0.1%)

simplify31.0ms (1.1%)

soundness179.0ms (6.6%)

preprocess62.0ms (2.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	18
1	22	16
2	47	15
3	92	15
4	147	15
5	177	15
6	191	15
7	197	15
8	202	15
9	204	15
0	5	5
1	9	5
2	10	5
0	10	4

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	52
1	36	52
2	78	52
3	168	52
4	264	52
5	294	52
6	356	52
7	406	52
8	442	52
9	451	52
10	455	52
0	455	43