Metrics for Data.Colour.CIE:cieLAB from colour-2.3.3, B

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB 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)

sample397.0ms (33.8%)

Memory

164.2MiB live, 164.2MiB allocated

Samples

224.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 111.0ms

ival-div: 51.0ms (46.1% of total)

ival-add: 44.0ms (39.8% of total)

exact: 7.0ms (6.3% of total)

ival-true: 6.0ms (5.4% of total)

ival-assert: 3.0ms (2.7% of total)

Bogosity

explain54.0ms (4.6%)

Memory

28.9MiB live, 28.9MiB allocated

FPErrors

Click to see full error table

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

17.0ms

512×

valid

Compiler

Compiled 53 to 33 computations (37.7% saved)

Precisions

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

ival-div: 3.0ms (41.5% of total)

ival-add: 3.0ms (41.5% of total)

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

exact: 0.0ms (0% of total)

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

preprocess19.0ms (1.6%)

Memory

5.0MiB live, 5.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	19	10
2	34	10
3	75	10
4	161	10
5	240	10
6	258	10
7	262	10
0	5	5
0	7	5
1	8	5
0	8	5

Stop Event

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

Calls

Call 1

Inputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

Outputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(/.f64 (+.f64 #s(literal 16 binary64) x) #s(literal 116 binary64))

Compiler

Compiled 5 to 5 computations (0% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 5 to 5 computations (0% saved)

simplify2.0ms (0.2%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
0	7	11
1	8	11
0	8	11

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(+.f64 x #s(literal 16 binary64))
x
#s(literal 16 binary64)
#s(literal 116 binary64)

Outputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(/.f64 (+.f64 #s(literal 16 binary64) x) #s(literal 116 binary64))
(+.f64 x #s(literal 16 binary64))
(+.f64 #s(literal 16 binary64) x)
x
#s(literal 16 binary64)
#s(literal 116 binary64)

localize12.0ms (1%)

Memory

5.8MiB live, 5.8MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0	(+.f64 x #s(literal 16 binary64))
accuracy	0.015625	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

Samples

8.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

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

ival-div: 2.0ms (58% of total)

ival-add: 1.0ms (29% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0.1%)

Memory

0.5MiB live, 0.5MiB allocated

Counts

2 → 8

Calls

Call 1

Inputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(+.f64 x #s(literal 16 binary64))

Outputs
4/29
(+ 4/29 (* 1/116 x))
16
(+ 16 x)
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
x
(* x (+ 1 (* 16 (/ 1 x))))

Calls

3 calls:

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

simplify4.0ms (0.4%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	22
1	41	22
2	67	22
3	141	22
4	141	22
5	144	22
6	149	22
7	149	22
0	149	20

Stop Event

1×	iter limit
1×	saturated

Counts

8 → 7

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 1/116 x))
16
(+ 16 x)
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
x
(* x (+ 1 (* 16 (/ 1 x))))

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
16
#s(literal 16 binary64)
(+ 16 x)
(+.f64 #s(literal 16 binary64) x)
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
x
(* x (+ 1 (* 16 (/ 1 x))))
(+.f64 #s(literal 16 binary64) x)

rewrite120.0ms (10.2%)

Memory

49.0MiB live, 49.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	33	8
2	177	8
3	1440	8
0	8404	7

Stop Event

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

Counts

2 → 416

Calls

Call 1

Inputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(+.f64 x #s(literal 16 binary64))

Outputs
(*.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1/116 binary64) (-.f64 x #s(literal 16 binary64))))
(.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64))) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (.f64 x x)))) (/.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 16 binary64) x)))
(*.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64))) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1/116 binary64) (-.f64 x #s(literal 16 binary64))))
(*.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64))) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal -4096 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1/116 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(*.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64))) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal -1/116 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/116 binary64) (-.f64 x #s(literal 16 binary64))))
(*.f64 (/.f64 (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1/116 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(*.f64 (/.f64 (-.f64 #s(literal -4096 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/116 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (.f64 x x)))) (/.f64 (*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (-.f64 #s(literal 16 binary64) x)))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal -4096 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(.f64 (/.f64 #s(literal 1/116 binary64) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (.f64 x x)))) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 16 binary64) x)))
(*.f64 (/.f64 #s(literal 1/116 binary64) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal 1 binary64))) (-.f64 #s(literal -16 binary64) x))
(*.f64 (/.f64 #s(literal 1/116 binary64) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal -4096 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))))
(*.f64 (/.f64 #s(literal 1/116 binary64) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(*.f64 (/.f64 #s(literal 1/116 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64))) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (pow.f64 (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1/116 binary64) (fma.f64 x x #s(literal -256 binary64))) (.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 x #s(literal -16 binary64))))
(.f64 (/.f64 #s(literal 1/116 binary64) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) #s(literal 2 binary64)))) (/.f64 (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (fma.f64 x x #s(literal -256 binary64)) (.f64 #s(literal -16 binary64) x)) #s(literal -1 binary64))))
(.f64 (/.f64 #s(literal 1/116 binary64) (+.f64 (pow.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) (-.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64)) #s(literal -116 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 256 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal 16 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64)) #s(literal 116 binary64)) (/.f64 (pow.f64 (fma.f64 x x #s(literal 256 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal 16 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) #s(literal -116 binary64)) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) #s(literal -116 binary64)) (/.f64 (pow.f64 (+.f64 (fma.f64 #s(literal 256 binary64) (.f64 x x) #s(literal 65536 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal 16 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 68719476736 binary64) (pow.f64 x #s(literal 9 binary64))) #s(literal -116 binary64)) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) (.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (neg.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) #s(literal 116 binary64)) (/.f64 (pow.f64 (+.f64 (fma.f64 #s(literal 256 binary64) (.f64 x x) #s(literal 65536 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 x #s(literal 16 binary64))))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) #s(literal 116 binary64)) (/.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)) #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(.f64 (/.f64 (+.f64 #s(literal 68719476736 binary64) (pow.f64 x #s(literal 9 binary64))) #s(literal 116 binary64)) (/.f64 (pow.f64 (-.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) (.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (.f64 x x)))) (/.f64 #s(literal 1/116 binary64) (-.f64 #s(literal 16 binary64) x)))
(*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal 1 binary64))) (/.f64 #s(literal 1/116 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 16 binary64))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal -4096 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1/116 binary64) (neg.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))))
(*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 #s(literal 1/116 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -116 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 16 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -116 binary64) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(.f64 (pow.f64 (/.f64 #s(literal 116 binary64) (-.f64 #s(literal 256 binary64) (.f64 x x))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 16 binary64) x) #s(literal -1 binary64)))
(*.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal -1/116 binary64) (pow.f64 (-.f64 x #s(literal -16 binary64)) #s(literal -1 binary64))))
(.f64 (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal 1 binary64)) (/.f64 (.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (fma.f64 #s(literal -1 binary64) x #s(literal 16 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64))) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (fma.f64 x x #s(literal -256 binary64))) (-.f64 x #s(literal -16 binary64)))
(.f64 (.f64 (-.f64 x #s(literal -16 binary64)) (/.f64 #s(literal 1/116 binary64) (-.f64 (fma.f64 x x #s(literal -256 binary64)) (.f64 #s(literal -16 binary64) x)))) (-.f64 (fma.f64 x x #s(literal -256 binary64)) (.f64 #s(literal -16 binary64) x)))
(.f64 (/.f64 (.f64 #s(literal 1/116 binary64) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) (-.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (/.f64 (neg.f64 (fma.f64 x x #s(literal -256 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64))) (/.f64 #s(literal -1/116 binary64) (pow.f64 (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal -4096 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) #s(literal 2 binary64)))) (/.f64 #s(literal -1/116 binary64) (pow.f64 (-.f64 (fma.f64 x x #s(literal -256 binary64)) (.f64 #s(literal -16 binary64) x)) #s(literal -1 binary64))))
(.f64 (/.f64 (-.f64 #s(literal -4096 binary64) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal -1/116 binary64) (pow.f64 (fma.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) (-.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) (.f64 x x)) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64))))
(.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 1/116 binary64) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 (fma.f64 x x #s(literal -256 binary64)) (*.f64 #s(literal -16 binary64) x)) #s(literal -1 binary64))))
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(fma.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal 256 binary64) (*.f64 x x)))) (/.f64 x (-.f64 #s(literal 16 binary64) x)) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(fma.f64 (/.f64 x (-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 x x #s(literal -256 binary64))) #s(literal 1 binary64))) (/.f64 x (fma.f64 #s(literal -1 binary64) x #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 #s(literal -4096 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 x (neg.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -256 binary64)) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))))) (/.f64 x (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(fma.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64))) (/.f64 x (pow.f64 (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(fma.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (-.f64 x #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64))) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(fma.f64 (/.f64 (*.f64 x x) (fma.f64 x x #s(literal -256 binary64))) (-.f64 x #s(literal -16 binary64)) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(fma.f64 (/.f64 x (fma.f64 x x #s(literal -256 binary64))) (/.f64 x (pow.f64 (-.f64 x #s(literal -16 binary64)) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(fma.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal -1 binary64) (-.f64 x #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(fma.f64 #s(literal -1 binary64) (neg.f64 x) #s(literal 16 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(fma.f64 #s(literal 256 binary64) (pow.f64 (-.f64 #s(literal 16 binary64) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 16 binary64) x))))
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(fma.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64))) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(-.f64 (/.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 16 binary64) x)) #s(literal 1 binary64)))
(-.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))))) (/.f64 (pow.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) #s(literal 2 binary64)) (fma.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64))) (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))))))) (/.f64 (pow.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))))))))
(-.f64 (/.f64 (.f64 (.f64 x x) (-.f64 x #s(literal 16 binary64))) (pow.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) (pow.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 x #s(literal 16 binary64)) (fma.f64 x x #s(literal 256 binary64)))) (/.f64 #s(literal 65536 binary64) (.f64 (-.f64 x #s(literal 16 binary64)) (fma.f64 x x #s(literal 256 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (-.f64 x #s(literal 16 binary64)) (+.f64 (fma.f64 #s(literal 256 binary64) (.f64 x x) #s(literal 65536 binary64)) (pow.f64 x #s(literal 4 binary64))))) (/.f64 #s(literal 16777216 binary64) (.f64 (-.f64 x #s(literal 16 binary64)) (+.f64 (fma.f64 #s(literal 256 binary64) (.f64 x x) #s(literal 65536 binary64)) (pow.f64 x #s(literal 4 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)))) (/.f64 #s(literal 16777216 binary64) (.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1 binary64) x #s(literal 16 binary64))) (-.f64 #s(literal -16 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)))) (-.f64 #s(literal -16 binary64) x))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 256 binary64))) (-.f64 x #s(literal 16 binary64))) (/.f64 (/.f64 #s(literal 65536 binary64) (fma.f64 x x #s(literal 256 binary64))) (-.f64 x #s(literal 16 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (fma.f64 #s(literal 256 binary64) (.f64 x x) #s(literal 65536 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal 16 binary64))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 (fma.f64 #s(literal 256 binary64) (.f64 x x) #s(literal 65536 binary64)) (pow.f64 x #s(literal 4 binary64)))) (-.f64 x #s(literal 16 binary64))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64))) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (/.f64 (/.f64 #s(literal 16777216 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64))) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(-.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x)) (/.f64 (*.f64 x x) (-.f64 #s(literal 16 binary64) x)))
(-.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -16 binary64) x) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -16 binary64) x))
(-.f64 #s(literal 16 binary64) (neg.f64 x))
(-.f64 x #s(literal -16 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal -16 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 #s(literal 16 binary64) x))))
(+.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64)))))
(+.f64 #s(literal 0 binary64) (-.f64 x #s(literal -16 binary64)))
(+.f64 #s(literal 16 binary64) x)
(+.f64 x #s(literal 16 binary64))

eval38.0ms (3.2%)

Memory: 35.9MiB live, 35.9MiB allocated
Compiler: Compiled 8 372 to 1 243 computations (85.2% saved)

prune5.0ms (0.5%)

Memory

15.6MiB live, 15.6MiB allocated

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	417	4	421
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	417	5	422

Accuracy

100.0%

Counts

422 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
✓	100.0%	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
▶	75.1%	(/.f64 (*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (-.f64 x #s(literal 16 binary64)))
▶	50.6%	#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
▶	50.4%	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Compiler

Compiled 35 to 32 computations (8.6% saved)

simplify5.0ms (0.4%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
cost-diff	0	(-.f64 x #s(literal 16 binary64))
cost-diff	0	(fma.f64 x x #s(literal -256 binary64))
cost-diff	0	(*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64))
cost-diff	0	(/.f64 (*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (-.f64 x #s(literal 16 binary64)))
cost-diff	0	(*.f64 #s(literal 1/116 binary64) x)
cost-diff	0	#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
cost-diff	0	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	56
0	24	56
1	34	56
2	47	56
3	58	56
4	64	56
5	70	56
6	76	56
7	82	56
0	82	56

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
(*.f64 #s(literal 1/116 binary64) x)
#s(literal 1/116 binary64)
x
(/.f64 (*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (-.f64 x #s(literal 16 binary64)))
(*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64))
(fma.f64 x x #s(literal -256 binary64))
x
#s(literal -256 binary64)
#s(literal 1/116 binary64)
(-.f64 x #s(literal 16 binary64))
#s(literal 16 binary64)
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
x
#s(literal 1/116 binary64)
#s(literal 4/29 binary64)

Outputs
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
(*.f64 #s(literal 1/116 binary64) x)
#s(literal 1/116 binary64)
x
(/.f64 (*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (-.f64 x #s(literal 16 binary64)))
(*.f64 (/.f64 #s(literal 1/116 binary64) (-.f64 x #s(literal 16 binary64))) (fma.f64 x x #s(literal -256 binary64)))
(*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64))
(fma.f64 x x #s(literal -256 binary64))
x
#s(literal -256 binary64)
#s(literal 1/116 binary64)
(-.f64 x #s(literal 16 binary64))
#s(literal 16 binary64)
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
x
#s(literal 1/116 binary64)
#s(literal 4/29 binary64)

localize38.0ms (3.2%)

Memory

16.1MiB live, 16.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
accuracy	0	(fma.f64 x x #s(literal -256 binary64))
accuracy	0	(-.f64 x #s(literal 16 binary64))
accuracy	0.0703125	(*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64))
accuracy	15.883866587660378	(/.f64 (*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (-.f64 x #s(literal 16 binary64)))
accuracy	0.07421875	(*.f64 #s(literal 1/116 binary64) x)
accuracy	31.601978894731122	#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
accuracy	31.72046732672948	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Samples

29.0ms

256×

valid

Compiler

Compiled 112 to 35 computations (68.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 6.0ms (30.4% of total)

const: 6.0ms (30.4% of total)

ival-add: 4.0ms (20.3% of total)

ival-div: 3.0ms (15.2% of total)

ival-sub: 1.0ms (5.1% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.4%)

Memory

2.1MiB live, 2.1MiB allocated

Counts

8 → 17

Calls

Call 1

Inputs
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
(*.f64 #s(literal 1/116 binary64) x)
(/.f64 (*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (-.f64 x #s(literal 16 binary64)))
(*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64))
(fma.f64 x x #s(literal -256 binary64))
(-.f64 x #s(literal 16 binary64))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))

Outputs
4/29
(+ 4/29 (* 1/116 x))
(* 1/116 x)
-64/29
(- (* 1/116 (pow x 2)) 64/29)
-256
(- (pow x 2) 256)
-16
(- x 16)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 (pow x 2))
(* (pow x 2) (- 1/116 (* 64/29 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 16 (/ 1 x))))
(* -1 (* x (- (* 16 (/ 1 x)) 1)))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((/ (+ x 16) 116) (/ (+ x 16) 116) (* 1/116 x) (/ (* (+ (* x x) -256) 1/116) (- x 16)) (* (+ (* x x) -256) 1/116) (+ (* x x) -256) (- x 16) (+ (* x 1/116) 4/29))
1.0ms	x	@	inf	((/ (+ x 16) 116) (/ (+ x 16) 116) (* 1/116 x) (/ (* (+ (* x x) -256) 1/116) (- x 16)) (* (+ (* x x) -256) 1/116) (+ (* x x) -256) (- x 16) (+ (* x 1/116) 4/29))
1.0ms	x	@	0	((/ (+ x 16) 116) (/ (+ x 16) 116) (* 1/116 x) (/ (* (+ (* x x) -256) 1/116) (- x 16)) (* (+ (* x x) -256) 1/116) (+ (* x x) -256) (- x 16) (+ (* x 1/116) 4/29))

Time

Variable

Point

Expression

2.0ms

-inf

((/ (+ x 16) 116) (/ (+ x 16) 116) (* 1/116 x) (/ (* (+ (* x x) -256) 1/116) (- x 16)) (* (+ (* x x) -256) 1/116) (+ (* x x) -256) (- x 16) (+ (* x 1/116) 4/29))

1.0ms

inf

((/ (+ x 16) 116) (/ (+ x 16) 116) (* 1/116 x) (/ (* (+ (* x x) -256) 1/116) (- x 16)) (* (+ (* x x) -256) 1/116) (+ (* x x) -256) (- x 16) (+ (* x 1/116) 4/29))

1.0ms

((/ (+ x 16) 116) (/ (+ x 16) 116) (* 1/116 x) (/ (* (+ (* x x) -256) 1/116) (- x 16)) (* (+ (* x x) -256) 1/116) (+ (* x x) -256) (- x 16) (+ (* x 1/116) 4/29))

simplify151.0ms (12.9%)

Memory

28.9MiB live, 28.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	59
1	89	59
2	196	59
3	413	59
4	1286	59
5	2940	59
6	3735	59
7	4467	59
8	5021	59
9	5493	59
10	6181	59
11	7809	59
0	8043	53

Stop Event

1×	iter limit
1×	node limit

Counts

17 → 16

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 1/116 x))
(* 1/116 x)
-64/29
(- (* 1/116 (pow x 2)) 64/29)
-256
(- (pow x 2) 256)
-16
(- x 16)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* 1/116 (pow x 2))
(* (pow x 2) (- 1/116 (* 64/29 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
x
(* x (- 1 (* 16 (/ 1 x))))
(* -1 (* x (- (* 16 (/ 1 x)) 1)))

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 1/116 x))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* 1/116 x)
(*.f64 #s(literal 1/116 binary64) x)
-64/29
#s(literal -64/29 binary64)
(- (* 1/116 (pow x 2)) 64/29)
(fma.f64 (*.f64 x x) #s(literal 1/116 binary64) #s(literal -64/29 binary64))
-256
#s(literal -256 binary64)
(- (pow x 2) 256)
(fma.f64 x x #s(literal -256 binary64))
-16
#s(literal -16 binary64)
(- x 16)
(-.f64 x #s(literal 16 binary64))
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(* 1/116 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/116 binary64))
(* (pow x 2) (- 1/116 (* 64/29 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/116 binary64) #s(literal -64/29 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
x
(* x (- 1 (* 16 (/ 1 x))))
(-.f64 x #s(literal 16 binary64))
(* -1 (* x (- (* 16 (/ 1 x)) 1)))
(-.f64 x #s(literal 16 binary64))

rewrite128.0ms (10.9%)

Memory

48.8MiB live, 48.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	46
0	24	52
1	98	42
2	616	38
3	6720	38
0	8043	38

Stop Event

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

Counts

8 → 843

Calls

Call 1

Inputs
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
(*.f64 #s(literal 1/116 binary64) x)
(/.f64 (*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (-.f64 x #s(literal 16 binary64)))
(*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64))
(fma.f64 x x #s(literal -256 binary64))
(-.f64 x #s(literal 16 binary64))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))

Outputs
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
(*.f64 #s(literal 1/116 binary64) x)
(*.f64 x #s(literal 1/116 binary64))
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(+.f64 (.f64 (.f64 (.f64 #s(literal 1/116 binary64) x) x) (pow.f64 (-.f64 x #s(literal 16 binary64)) #s(literal -1 binary64))) (.f64 #s(literal -64/29 binary64) (pow.f64 (-.f64 x #s(literal 16 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal -64/29 binary64) (pow.f64 (-.f64 x #s(literal 16 binary64)) #s(literal -1 binary64))) (.f64 (.f64 (.f64 #s(literal 1/116 binary64) x) x) (pow.f64 (-.f64 x #s(literal 16 binary64)) #s(literal -1 binary64))))
(+.f64 (.f64 (.f64 (fma.f64 x x #s(literal -256 binary64)) (/.f64 #s(literal 1/116 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)))) (fma.f64 x x #s(literal 256 binary64))) (.f64 (.f64 (fma.f64 x x #s(literal -256 binary64)) (/.f64 #s(literal 1/116 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)))) (*.f64 #s(literal 16 binary64) x)))
(+.f64 (.f64 (.f64 (fma.f64 x x #s(literal -256 binary64)) (/.f64 #s(literal 1/116 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)))) (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))) (.f64 (.f64 (fma.f64 x x #s(literal -256 binary64)) (/.f64 #s(literal 1/116 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)))) (*.f64 x x)))
(+.f64 (.f64 (.f64 (fma.f64 x x #s(literal -256 binary64)) (/.f64 #s(literal 1/116 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)))) (.f64 x x)) (.f64 (*.f64 (fma.f64 x x #s(literal -256 binary64)) (/.f64 #s(literal 1/116 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)))) (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))))
(+.f64 (.f64 (/.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 16 binary64) x)) (.f64 x x)) (*.f64 (/.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal -256 binary64)))
(+.f64 (.f64 (/.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 16 binary64) x)) #s(literal -256 binary64)) (.f64 (/.f64 #s(literal -1/116 binary64) (-.f64 #s(literal 16 binary64) x)) (*.f64 x x)))
(+.f64 (.f64 (pow.f64 (-.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/116 binary64) x) x)) (.f64 (pow.f64 (-.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)) #s(literal -64/29 binary64)))
(+.f64 (.f64 (pow.f64 (-.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)) #s(literal -64/29 binary64)) (.f64 (pow.f64 (-.f64 x #s(literal 16 binary64)) #s(literal -1 binary64)) (.f64 (.f64 #s(literal 1/116 binary64) x) x)))
(+.f64 (.f64 (.f64 #s(literal 1/13456 binary64) x) (/.f64 x (fma.f64 #s(literal 1/116 binary64) x #s(literal -4/29 binary64)))) (neg.f64 (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal -1/116 binary64) x #s(literal 4/29 binary64)))))
(+.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))
(+.f64 #s(literal 4/29 binary64) (*.f64 #s(literal 1/116 binary64) x))

eval49.0ms (4.2%)

Memory: 47.1MiB live, 47.1MiB allocated
Compiler: Compiled 11 830 to 1 623 computations (86.3% saved)

prune8.0ms (0.7%)

Memory

21.4MiB live, 21.4MiB allocated

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	566	0	566
Fresh	0	0	0
Picked	0	4	4
Done	0	1	1
Total	566	5	571

Accuracy

100.0%

Counts

571 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
✓	100.0%	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
✓	75.1%	(/.f64 (*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (-.f64 x #s(literal 16 binary64)))
✓	50.6%	#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
✓	50.4%	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Compiler

Compiled 70 to 52 computations (25.7% saved)

regimes6.0ms (0.6%)

Memory

5.0MiB live, 5.0MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(/.f64 (*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (-.f64 x #s(literal 16 binary64)))

Outputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

Calls

3 calls:

2.0ms	x
2.0ms	(+.f64 x #s(literal 16 binary64))
2.0ms	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

Results

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

Compiler

Compiled 9 to 9 computations (0% saved)

regimes5.0ms (0.4%)

Memory

4.5MiB live, 4.5MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))

Outputs
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))

Calls

3 calls:

2.0ms	x
2.0ms	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
2.0ms	(+.f64 x #s(literal 16 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
99.9%	1	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.4%)

Memory

4.2MiB live, 4.2MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))

Outputs
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))

Calls

3 calls:

1.0ms	x
1.0ms	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
1.0ms	(+.f64 x #s(literal 16 binary64))

Results

Accuracy	Segments	Branch
97.5%	3	`x`
97.5%	3	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
97.5%	3	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.3%)

Memory

4.0MiB live, 4.0MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Outputs
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Calls

3 calls:

1.0ms	x
1.0ms	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
1.0ms	(+.f64 x #s(literal 16 binary64))

Results

Accuracy	Segments	Branch
50.4%	1	`x`
50.4%	1	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
50.4%	1	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	16.002661129431075	5310.874403356557
0.0ms	-1453.0413761005107	14.513971483191254

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify20.0ms (1.7%)

Memory

18.5MiB live, 18.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	53
1	21	53

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1000 binary64)) #s(approx (/ (+ x 16) 116) (.f64 #s(literal 1/116 binary64) x)) (if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 20 binary64)) #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #s(approx (/ (+ x 16) 116) (.f64 #s(literal 1/116 binary64) x))))
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Outputs
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(/.f64 (+.f64 #s(literal 16 binary64) x) #s(literal 116 binary64))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -1000 binary64)) #s(approx (/ (+ x 16) 116) (.f64 #s(literal 1/116 binary64) x)) (if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 20 binary64)) #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #s(approx (/ (+ x 16) 116) (.f64 #s(literal 1/116 binary64) x))))
(if (<=.f64 (+.f64 #s(literal 16 binary64) x) #s(literal -1000 binary64)) #s(approx (/ (+ x 16) 116) (.f64 #s(literal 1/116 binary64) x)) (if (<=.f64 (+.f64 #s(literal 16 binary64) x) #s(literal 20 binary64)) #s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64)) #s(approx (/ (+ x 16) 116) (.f64 #s(literal 1/116 binary64) x))))
#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

soundness76.0ms (6.5%)

Memory

1.8MiB live, 1.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	33	8
2	177	8
3	1440	8
0	8404	7
0	15	22
1	41	22
2	67	22
3	141	22
4	141	22
5	144	22
6	149	22
7	149	22
0	149	20

Stop Event

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

Compiler

Compiled 67 to 36 computations (46.3% saved)

preprocess23.0ms (2%)

Memory: 15.7MiB live, 15.7MiB allocated
Compiler: Compiled 116 to 52 computations (55.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample397.0ms (33.8%)

explain54.0ms (4.6%)

preprocess19.0ms (1.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0.2%)

localize12.0ms (1%)

series1.0ms (0.1%)

simplify4.0ms (0.4%)

rewrite120.0ms (10.2%)

eval38.0ms (3.2%)

prune5.0ms (0.5%)

simplify5.0ms (0.4%)

localize38.0ms (3.2%)

series4.0ms (0.4%)

simplify151.0ms (12.9%)

rewrite128.0ms (10.9%)

eval49.0ms (4.2%)

prune8.0ms (0.7%)

regimes6.0ms (0.6%)

regimes5.0ms (0.4%)

regimes4.0ms (0.4%)

regimes4.0ms (0.3%)

bsearch1.0ms (0%)

simplify20.0ms (1.7%)

soundness76.0ms (6.5%)

preprocess23.0ms (2%)

end0.0ms (0%)

Profiling