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

0.4MiB live, 0.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample905.0ms (34.4%)

Memory

-14.5MiB live, 462.8MiB allocated

Samples

580.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 258.0ms

ival-add: 136.0ms (52.7% of total)

ival-div: 105.0ms (40.7% of total)

exact: 8.0ms (3.1% of total)

ival-true: 6.0ms (2.3% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain85.0ms (3.2%)

Memory

-0.8MiB live, 44.1MiB 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

18.0ms

512×

valid

Compiler

Compiled 42 to 24 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-div: 3.0ms (39.6% of total)

ival-add: 3.0ms (39.6% of total)

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

exact: 0.0ms (0% of total)

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

preprocess17.0ms (0.6%)

Memory

-5.7MiB live, 33.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	19	10
2	34	10
3	77	10
4	163	10
5	249	10
6	268	10
7	272	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: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB 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 (0.1%)

Memory

5.6MiB live, 5.6MiB 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)

localize15.0ms (0.6%)

Memory

-0.3MiB live, 37.7MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 x #s(literal 16 binary64))
accuracy	0.00390625	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

Samples

11.0ms

256×

valid

Compiler

Compiled 24 to 12 computations (50% saved)

Precisions

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

ival-div: 2.0ms (45.8% of total)

ival-add: 1.0ms (22.9% 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%)

Memory

3.2MiB live, 3.1MiB 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))

simplify5.0ms (0.2%)

Memory

10.7MiB live, 10.7MiB 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)

rewrite165.0ms (6.3%)

Memory

-23.4MiB live, 256.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	33	8
2	177	8
3	1450	8
0	8329	7

Stop Event

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

Counts

2 → 412

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 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)) #s(literal -1 binary64)) (/.f64 (.f64 (fma.f64 x x #s(literal -256 binary64)) #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 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))))
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(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))

eval46.0ms (1.8%)

Memory: 34.8MiB live, 107.8MiB allocated
Compiler: Compiled 8 209 to 1 223 computations (85.1% saved)

prune13.0ms (0.5%)

Memory

-16.7MiB live, 27.7MiB allocated

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	412	5	417
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	412	6	418

Accuracy

100.0%

Counts

418 → 6

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))
▶	71.0%	(/.f64 (*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (-.f64 x #s(literal 16 binary64)))
▶	99.9%	(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
▶	51.6%	#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
▶	49.5%	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Compiler

Compiled 75 to 69 computations (8% saved)

simplify6.0ms (0.2%)

Memory

9.0MiB live, 9.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
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	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 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))
cost-diff	0	(*.f64 x #s(literal 1/116 binary64))
cost-diff	128	(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	66
0	26	66
1	36	66
2	49	66
3	60	66
4	66	66
5	72	66
6	78	66
7	84	66
0	84	66

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize51.0ms (2%)

Memory

-1.2MiB live, 74.0MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 x x #s(literal -256 binary64))
accuracy	0.0	(-.f64 x #s(literal 16 binary64))
accuracy	0.05859375	(*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64))
accuracy	18.529910776993418	(/.f64 (*.f64 (fma.f64 x x #s(literal -256 binary64)) #s(literal 1/116 binary64)) (-.f64 x #s(literal 16 binary64)))
accuracy	0.0546875	(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
accuracy	0.08984375	(*.f64 #s(literal 1/116 binary64) x)
accuracy	30.91123261114955	#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
accuracy	32.30000263177499	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))
accuracy	0.0078125	(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
accuracy	0.08984375	(*.f64 x #s(literal 1/116 binary64))

Samples

37.0ms

256×

valid

Compiler

Compiled 134 to 37 computations (72.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-add: 9.0ms (34.3% of total)

ival-mult: 6.0ms (22.9% of total)

const: 6.0ms (22.9% of total)

ival-div: 3.0ms (11.4% of total)

ival-sub: 1.0ms (3.8% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.2%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

10 → 17

Calls

Call 1

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

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 1/116) 4/29) (* x 1/116) (/ (+ x 16) 116) (/ (+ x 16) 116) (* 1/116 x) (+ (* x 1/116) 4/29) (/ (* (+ (* x x) -256) 1/116) (- x 16)) (* (+ (* x x) -256) 1/116) (+ (* x x) -256) (- x 16))
1.0ms	x	@	inf	((+ (* x 1/116) 4/29) (* x 1/116) (/ (+ x 16) 116) (/ (+ x 16) 116) (* 1/116 x) (+ (* x 1/116) 4/29) (/ (* (+ (* x x) -256) 1/116) (- x 16)) (* (+ (* x x) -256) 1/116) (+ (* x x) -256) (- x 16))
1.0ms	x	@	0	((+ (* x 1/116) 4/29) (* x 1/116) (/ (+ x 16) 116) (/ (+ x 16) 116) (* 1/116 x) (+ (* x 1/116) 4/29) (/ (* (+ (* x x) -256) 1/116) (- x 16)) (* (+ (* x x) -256) 1/116) (+ (* x x) -256) (- x 16))

Time

Variable

Point

Expression

2.0ms

-inf

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

1.0ms

inf

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

1.0ms

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

simplify176.0ms (6.7%)

Memory

1.0MiB live, 158.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	59
1	89	59
2	208	59
3	436	59
4	1297	59
5	3030	59
6	3821	59
7	4551	59
8	5107	59
9	5579	59
10	6261	59
11	7927	59
0	8161	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))

rewrite195.0ms (7.4%)

Memory

-40.7MiB live, 285.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	18	53
0	26	47
1	100	47
2	618	45
3	6763	45
0	8023	45

Stop Event

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

Counts

10 → 1 113

Calls

Call 1

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

Outputs
(.f64 (/.f64 (fma.f64 #s(literal 1/13456 binary64) (.f64 x x) #s(literal -16/841 binary64)) (fma.f64 #s(literal 1/1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -64/24389 binary64))) (fma.f64 #s(literal 1/13456 binary64) (*.f64 x x) (fma.f64 #s(literal 1/841 binary64) x #s(literal 16/841 binary64))))
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(/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) (*.f64 (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (-.f64 #s(literal 16 binary64) x) #s(literal -1 binary64))
(/.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 1 binary64))
(neg.f64 (-.f64 #s(literal 16 binary64) x))
(fma.f64 (/.f64 (*.f64 x x) (neg.f64 (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))))) (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 (.f64 x x) (-.f64 #s(literal 256 binary64) (.f64 x x))) (-.f64 #s(literal 16 binary64) x) (neg.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal -16 binary64)))))
(fma.f64 (/.f64 (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 (*.f64 x (-.f64 x #s(literal 16 binary64))) #s(literal 256 binary64)) (neg.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))))))
(fma.f64 (/.f64 (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))) (neg.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))))))
(fma.f64 (/.f64 (*.f64 x x) #s(literal 1 binary64)) (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 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)) #s(literal -16 binary64))
(fma.f64 (/.f64 x (/.f64 (fma.f64 x x #s(literal -256 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)))) (/.f64 x (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 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 x (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 x (pow.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #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 (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 (/.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 (*.f64 x x) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64)))) (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 (fma.f64 x x #s(literal -256 binary64)) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 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 4096 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)))
(fma.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x) (.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64))))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (pow.f64 x #s(literal 3/2 binary64)) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64)))) (neg.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))))))
(fma.f64 #s(literal 1 binary64) x #s(literal -16 binary64))
(fma.f64 (fma.f64 #s(literal -16 binary64) 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 (.f64 x x) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (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 4096 binary64) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))))))
(fma.f64 (*.f64 x x) (/.f64 x (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64)))) (neg.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))))))
(fma.f64 (.f64 x x) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 (fma.f64 #s(literal -16 binary64) 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))))))
(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 (*.f64 x x) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64)))) (neg.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 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)))))
(fma.f64 x #s(literal 1 binary64) #s(literal -16 binary64))
(-.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 16 binary64))
(-.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 (pow.f64 x #s(literal 3 binary64)) (-.f64 (fma.f64 x x #s(literal 256 binary64)) (.f64 #s(literal -16 binary64) x))) (/.f64 #s(literal 4096 binary64) (-.f64 (fma.f64 x x #s(literal 256 binary64)) (.f64 #s(literal -16 binary64) x))))
(-.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 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64)))) #s(literal 1 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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64)))) (/.f64 #s(literal 4096 binary64) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 16 binary64) 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 (neg.f64 (neg.f64 x)) #s(literal -16 binary64))
(+.f64 (*.f64 x #s(literal 1 binary64)) #s(literal -16 binary64))
(+.f64 (.f64 (fma.f64 #s(literal -16 binary64) 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 (*.f64 x x) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))))))
(+.f64 (.f64 (.f64 x x) (/.f64 (fma.f64 x x #s(literal -256 binary64)) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))))) (*.f64 (fma.f64 #s(literal -16 binary64) 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 (*.f64 #s(literal 1 binary64) x) #s(literal -16 binary64))
(+.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 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 4096 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x)))
(+.f64 (.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64)))) (.f64 x x)) (*.f64 (/.f64 (fma.f64 x x #s(literal -256 binary64)) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 #s(literal -16 binary64) x #s(literal 256 binary64))))
(+.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 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64)))) (neg.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))))))
(+.f64 #s(literal -16 binary64) (*.f64 x #s(literal 1 binary64)))
(+.f64 #s(literal -16 binary64) (*.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal -16 binary64) x)
(+.f64 x #s(literal -16 binary64))

eval60.0ms (2.3%)

Memory: 10.7MiB live, 125.7MiB allocated
Compiler: Compiled 11 631 to 1 612 computations (86.1% saved)

prune10.0ms (0.4%)

Memory

-6.3MiB live, 32.9MiB allocated

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	557	1	558
Fresh	0	0	0
Picked	1	4	5
Done	0	1	1
Total	558	6	564

Accuracy

100.0%

Counts

564 → 6

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))
▶	49.2%	(/.f64 #s(approx (* (+ (* x x) -256) 1/116) #s(literal -64/29 binary64)) (-.f64 x #s(literal 16 binary64)))
✓	99.9%	(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
✓	51.6%	#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
✓	49.5%	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Compiler

Compiled 43 to 40 computations (7% saved)

simplify4.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

cost-diff

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

cost-diff

#s(approx (* (+ (* x x) -256) 1/116) #s(literal -64/29 binary64))

cost-diff

(/.f64 #s(approx (* (+ (* x x) -256) 1/116) #s(literal -64/29 binary64)) (-.f64 x #s(literal 16 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
0	13	28
1	18	28
2	27	28
3	31	28
4	33	28
0	33	26

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(approx (* (+ (* x x) -256) 1/116) #s(literal -64/29 binary64)) (-.f64 x #s(literal 16 binary64)))
#s(approx (* (+ (* x x) -256) 1/116) #s(literal -64/29 binary64))
#s(literal -64/29 binary64)
(-.f64 x #s(literal 16 binary64))
x
#s(literal 16 binary64)

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

localize29.0ms (1.1%)

Memory

10.2MiB live, 48.5MiB allocated

Localize:

Found 3 expressions of interest:

New

Metric

Score

Program

accuracy

0.0

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

accuracy

18.529910776993418

(/.f64 #s(approx (* (+ (* x x) -256) 1/116) #s(literal -64/29 binary64)) (-.f64 x #s(literal 16 binary64)))

accuracy

32.72472342419333

#s(approx (* (+ (* x x) -256) 1/116) #s(literal -64/29 binary64))

Samples

23.0ms

256×

valid

Compiler

Compiled 54 to 23 computations (57.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

const: 8.0ms (47.6% of total)

ival-mult: 4.0ms (23.8% of total)

ival-div: 2.0ms (11.9% of total)

ival-sub: 1.0ms (5.9% of total)

ival-add: 1.0ms (5.9% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB allocated

Counts

3 → 13

Calls

Call 1

Inputs

(/.f64 #s(approx (* (+ (* x x) -256) 1/116) #s(literal -64/29 binary64)) (-.f64 x #s(literal 16 binary64)))

#s(approx (* (+ (* x x) -256) 1/116) #s(literal -64/29 binary64))

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

simplify184.0ms (7%)

Memory

24.1MiB live, 180.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	45
1	73	45
2	164	45
3	337	45
4	870	45
5	1921	45
6	3012	45
7	3653	45
8	4366	45
9	4796	45
10	5384	45
11	6262	45
0	8585	41

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 12

Calls

Call 1

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

rewrite170.0ms (6.5%)

Memory

-25.1MiB live, 249.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
0	13	25
1	56	25
2	335	25
3	2927	25
0	9105	23

Stop Event

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

Counts

3 → 358

Calls

Call 1

Inputs

(/.f64 #s(approx (* (+ (* x x) -256) 1/116) #s(literal -64/29 binary64)) (-.f64 x #s(literal 16 binary64)))

#s(approx (* (+ (* x x) -256) 1/116) #s(literal -64/29 binary64))

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

Outputs
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64)) #s(approx ( (+ (* x x) -256) 1/116) #s(literal -64/29 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 256 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal -16 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) #s(approx ( (+ (* x x) -256) 1/116) #s(literal -64/29 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 256 binary64)) #s(literal 65536 binary64)) #s(literal -1 binary64)) (-.f64 x #s(literal -16 binary64))) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal -1 binary64) #s(approx ( (+ (* x x) -256) 1/116) #s(literal -64/29 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 16 binary64) x) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 256 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 x #s(literal -16 binary64)) #s(approx (* (+ (* x x) -256) 1/116) #s(literal -64/29 binary64)))) #s(literal -1 binary64)))
(.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 256 binary64)) #s(literal 65536 binary64)) #s(literal -1 binary64)) (.f64 (-.f64 x #s(literal -16 binary64)) #s(approx ( (+ (* x x) -256) 1/116) #s(literal -64/29 binary64)))) #s(literal -1 binary64)))
(.f64 (/.f64 (neg.f64 #s(approx ( (+ (* x x) -256) 1/116) #s(literal -64/29 binary64))) (fma.f64 x x #s(literal -256 binary64))) (fma.f64 #s(literal -1 binary64) x #s(literal -16 binary64)))
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(-.f64 (/.f64 x #s(literal 1 binary64)) #s(literal 16 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 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64)))) (/.f64 #s(literal 4096 binary64) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64)))))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 16 binary64) x))
(-.f64 #s(literal -16 binary64) (/.f64 x #s(literal -1 binary64)))
(-.f64 x #s(literal 16 binary64))
(exp.f64 (neg.f64 (*.f64 (log.f64 (-.f64 x #s(literal 16 binary64))) #s(literal -1 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (-.f64 x #s(literal 16 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 x #s(literal 16 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 (neg.f64 (neg.f64 x)) #s(literal -16 binary64))
(+.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 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64)))) (neg.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))))))
(+.f64 #s(literal -16 binary64) x)
(+.f64 x #s(literal -16 binary64))

eval205.0ms (7.8%)

Memory: -128.1MiB live, 83.9MiB allocated
Compiler: Compiled 11 179 to 1 259 computations (88.7% saved)

prune7.0ms (0.2%)

Memory

23.6MiB live, 23.6MiB allocated

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	365	0	365
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	365	6	371

Accuracy

100.0%

Counts

371 → 6

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))
✓	49.2%	(/.f64 #s(approx (* (+ (* x x) -256) 1/116) #s(literal -64/29 binary64)) (-.f64 x #s(literal 16 binary64)))
✓	99.9%	(+.f64 (*.f64 x #s(literal 1/116 binary64)) #s(literal 4/29 binary64))
✓	51.6%	#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
✓	49.5%	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Compiler

Compiled 96 to 70 computations (27.1% saved)

regimes10.0ms (0.4%)

Memory

-21.1MiB live, 17.9MiB allocated

Counts

7 → 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 1/116 binary64)) #s(literal 4/29 binary64))
(/.f64 #s(approx (* (+ (* x x) -256) 1/116) #s(literal -64/29 binary64)) (-.f64 x #s(literal 16 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:

4.0ms	(+.f64 x #s(literal 16 binary64))
2.0ms	x
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)

regimes6.0ms (0.2%)

Memory

15.1MiB live, 15.1MiB 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 1/116 binary64)) #s(literal 4/29 binary64))
(/.f64 #s(approx (* (+ (* x x) -256) 1/116) #s(literal -64/29 binary64)) (-.f64 x #s(literal 16 binary64)))

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

regimes8.0ms (0.3%)

Memory

-22.8MiB live, 14.4MiB 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:

5.0ms	x
1.0ms	(+.f64 x #s(literal 16 binary64))
1.0ms	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

Results

Accuracy	Segments	Branch
97.8%	3	`x`
97.8%	3	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
97.8%	3	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes3.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB 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
49.5%	1	`x`
49.5%	1	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
49.5%	1	`(+.f64 x #s(literal 16 binary64))`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	16.00000000000107	1946986.4780933391
0.0ms	-42.53938778693067	15.999999993641705

Compiler

Compiled 8 to 9 computations (-12.5% saved)

simplify9.0ms (0.3%)

Memory

23.3MiB live, 23.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	45
1	23	45

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 -40 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))
(fma.f64 x #s(literal 1/116 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -40 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 (or (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal -40 binary64)) (not (<=.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 20 binary64)))) #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) #s(literal 4/29 binary64))

soundness107.0ms (4.1%)

Memory

-32.4MiB live, 127.4MiB allocated

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
0	5	8
0	7	8
1	33	8
2	177	8
3	1450	8
0	8329	7

Stop Event

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

Compiler

Compiled 59 to 37 computations (37.3% saved)

preprocess131.0ms (5%)

Memory: 12.6MiB live, 51.6MiB allocated
Compiler: Compiled 100 to 54 computations (46% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample905.0ms (34.4%)

explain85.0ms (3.2%)

preprocess17.0ms (0.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify2.0ms (0.1%)

localize15.0ms (0.6%)

series1.0ms (0%)

simplify5.0ms (0.2%)

rewrite165.0ms (6.3%)

eval46.0ms (1.8%)

prune13.0ms (0.5%)

simplify6.0ms (0.2%)

localize51.0ms (2%)

series5.0ms (0.2%)

simplify176.0ms (6.7%)

rewrite195.0ms (7.4%)

eval60.0ms (2.3%)

prune10.0ms (0.4%)

simplify4.0ms (0.1%)

localize29.0ms (1.1%)

series2.0ms (0.1%)

simplify184.0ms (7%)

rewrite170.0ms (6.5%)

eval205.0ms (7.8%)

prune7.0ms (0.2%)

regimes10.0ms (0.4%)

regimes6.0ms (0.2%)

regimes8.0ms (0.3%)

regimes3.0ms (0.1%)

bsearch1.0ms (0%)

simplify9.0ms (0.3%)

soundness107.0ms (4.1%)

preprocess131.0ms (5%)

end0.0ms (0%)

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