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

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 7 to 7 computations (0% saved)

sample918.0ms (32.4%)

Memory

42.8MiB live, 585.0MiB allocated; 132ms collecting garbage

Samples

708.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 486.0ms

ival-add: 307.0ms (63.2% of total)

ival-div: 160.0ms (32.9% of total)

exact: 8.0ms (1.6% of total)

ival-true: 6.0ms (1.2% of total)

ival-assert: 3.0ms (0.6% of total)

adjust: 2.0ms (0.4% of total)

Bogosity

explain53.0ms (1.9%)

Memory

10.1MiB live, 54.6MiB allocated; 8ms collecting garbage

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 31 to 19 computations (38.7% saved)

Precisions

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

ival-div: 3.0ms (39.7% of total)

ival-add: 3.0ms (39.7% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

preprocess35.0ms (1.2%)

Memory

-30.5MiB live, 16.0MiB allocated; 3ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	12
1	17	12
2	33	10
3	43	10
4	44	10
0	5	5
0	7	5
1	12	5
2	13	5
0	13	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: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

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)

simplify3.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated; 0ms collecting garbage

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	12	11
2	13	11
0	13	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)

localize13.0ms (0.5%)

Memory

15.6MiB live, 15.6MiB allocated; 0ms collecting garbage

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(+.f64 x #s(literal 16 binary64))
accuracy	0.01171875	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))

Samples

9.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 2.0ms (54.1% of total)

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

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

series1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

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))

simplify51.0ms (1.8%)

Memory

-31.2MiB live, 19.6MiB allocated; 10ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	22
1	53	22
2	111	22
3	287	22
4	418	22
5	503	22
6	614	22
7	668	22
8	700	22
0	700	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 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))
x
(* x (+ 1 (* 16 (/ 1 x))))
(-.f64 x #s(literal -16 binary64))

rewrite188.0ms (6.6%)

Memory

40.6MiB live, 168.9MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
0	7	8
1	31	8
2	155	8
3	1150	8
0	8393	8

Stop Event

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

Counts

2 → 260

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 4/29 binary64))) (/.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 4/29 binary64)))) (.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 4/29 binary64))))) (+.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 4/29 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 x (-.f64 x #s(literal 16 binary64))) (/.f64 x #s(literal 116 binary64))) (.f64 (/.f64 x (-.f64 x #s(literal 16 binary64))) (/.f64 x #s(literal 116 binary64)))) (.f64 (/.f64 #s(literal 256 binary64) (.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))) (/.f64 #s(literal 256 binary64) (.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))))) (fma.f64 (/.f64 x (-.f64 x #s(literal 16 binary64))) (/.f64 x #s(literal 116 binary64)) (/.f64 #s(literal 256 binary64) (*.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) #s(literal 116 binary64)) (/.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) #s(literal 116 binary64))) (.f64 (/.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) #s(literal 116 binary64)) (/.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) #s(literal 116 binary64)))) (+.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) #s(literal 116 binary64)) (/.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) #s(literal 116 binary64))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64))))) (/.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64)))))) (.f64 (/.f64 #s(literal 64/24389 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64))))) (/.f64 #s(literal 64/24389 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64))))))) (-.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64))))) (/.f64 #s(literal 64/24389 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64)))))))
(/.f64 (-.f64 (.f64 (/.f64 #s(literal 4096 binary64) (.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 116 binary64))) (/.f64 #s(literal 4096 binary64) (.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 116 binary64)))) (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 116 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 116 binary64))))) (/.f64 (+.f64 #s(literal 16 binary64) x) #s(literal 116 binary64)))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 116 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 116 binary64)))) (.f64 (/.f64 #s(literal 4096 binary64) (.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 116 binary64))) (/.f64 #s(literal 4096 binary64) (.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 116 binary64))))) (-.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 116 binary64))) (/.f64 #s(literal 4096 binary64) (.f64 (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64)) #s(literal 116 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) #s(literal 116 binary64)) (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) #s(literal 116 binary64))) (.f64 (/.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) #s(literal 116 binary64)) (/.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) #s(literal 116 binary64)))) (-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) #s(literal 116 binary64)) (/.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) #s(literal 116 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 4/29 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 4/29 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 4/29 binary64))) (/.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 4/29 binary64))) (fma.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 4/29 binary64))) (*.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 4/29 binary64)))))))
(/.f64 (-.f64 (pow.f64 (.f64 (/.f64 x (-.f64 x #s(literal 16 binary64))) (/.f64 x #s(literal 116 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 256 binary64) (.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))) #s(literal 3 binary64))) (fma.f64 (.f64 (/.f64 x (-.f64 x #s(literal 16 binary64))) (/.f64 x #s(literal 116 binary64))) (.f64 (/.f64 x (-.f64 x #s(literal 16 binary64))) (/.f64 x #s(literal 116 binary64))) (fma.f64 (/.f64 #s(literal 256 binary64) (.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))) (/.f64 #s(literal 256 binary64) (.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))) (.f64 (.f64 (/.f64 x (-.f64 x #s(literal 16 binary64))) (/.f64 x #s(literal 116 binary64))) (/.f64 #s(literal 256 binary64) (*.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)))))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) #s(literal 116 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) #s(literal 116 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) #s(literal 116 binary64)) (/.f64 (.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) #s(literal 116 binary64)) (fma.f64 (/.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) #s(literal 116 binary64)) (/.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) #s(literal 116 binary64)) (.f64 (/.f64 (*.f64 x (/.f64 x (-.f64 x #s(literal 16 binary64)))) #s(literal 116 binary64)) (/.f64 (/.f64 #s(literal 256 binary64) (-.f64 x #s(literal 16 binary64))) #s(literal 116 binary64))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64))))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 64/24389 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64))))) (/.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64))))) (-.f64 (.f64 (/.f64 #s(literal 64/24389 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64))))) (/.f64 #s(literal 64/24389 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64)))))) (.f64 (/.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 3 binary64)) (-.f64 (+.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64))))) (/.f64 #s(literal 64/24389 binary64) (-.f64 (+.f64 (pow.f64 (/.f64 x #s(literal 116 binary64)) #s(literal 2 binary64)) #s(literal 16/841 binary64)) (.f64 #s(literal 4/29 binary64) (/.f64 x #s(literal 116 binary64)))))))))
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(+.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (-.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))))) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (/.f64 (/.f64 #s(literal 68719476736 binary64) (-.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))))) (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 (neg.f64 (neg.f64 x)) (neg.f64 x)) (-.f64 #s(literal 16 binary64) x)))
(+.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x)) (/.f64 (*.f64 (neg.f64 x) x) (-.f64 #s(literal 16 binary64) x)))
(+.f64 (/.f64 #s(literal 256 binary64) (-.f64 #s(literal 16 binary64) x)) (/.f64 (*.f64 x (neg.f64 x)) (-.f64 #s(literal 16 binary64) x)))
(+.f64 (neg.f64 (neg.f64 x)) #s(literal 16 binary64))
(+.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(+.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))) (/.f64 #s(literal 4096 binary64) (fma.f64 x (-.f64 x #s(literal 16 binary64)) #s(literal 256 binary64))))
(+.f64 #s(literal 16 binary64) (neg.f64 (neg.f64 x)))
(+.f64 #s(literal 16 binary64) x)
(+.f64 x #s(literal 16 binary64))

eval135.0ms (4.8%)

Memory: -67.6MiB live, 69.9MiB allocated; 97ms collecting garbage
Compiler: Compiled 7 746 to 960 computations (87.6% saved)

prune5.0ms (0.2%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	261	4	265
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	261	5	266

Accuracy

100.0%

Counts

266 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.9%	(/.f64 (-.f64 (.f64 x x) #s(literal 256 binary64)) (.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)))
✓	100.0%	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
▶	99.9%	#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))
▶	49.9%	#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
▶	50.5%	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Compiler

Compiled 42 to 38 computations (9.5% saved)

simplify15.0ms (0.5%)

Memory

14.7MiB live, 14.7MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	70
0	25	70
1	41	70
2	90	70
3	174	70
4	266	70
5	338	70
6	377	70
7	396	70
8	424	70
9	449	70
10	461	70
0	461	70

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

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

localize54.0ms (1.9%)

Memory

-7.0MiB live, 38.9MiB allocated; 8ms collecting garbage

Localize:

Found 9 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x #s(literal 16 binary64))
accuracy	0.0	(*.f64 x x)
accuracy	0.02734375	(*.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
accuracy	13.461082870557728	(/.f64 (-.f64 (.f64 x x) #s(literal 256 binary64)) (.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)))
accuracy	0.0	#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))
accuracy	0.05859375	(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
accuracy	0.07421875	(*.f64 #s(literal 1/116 binary64) x)
accuracy	32.01230092913102	#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
accuracy	31.682621021548805	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Samples

43.0ms	254×	0	valid
1.0ms	2×	2	valid

Compiler

Compiled 62 to 17 computations (72.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

const: 20.0ms (59.2% of total)

ival-mult: 5.0ms (14.8% of total)

ival-div: 3.0ms (8.9% of total)

ival-add: 3.0ms (8.9% of total)

ival-sub: 2.0ms (5.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series5.0ms (0.2%)

Memory

2.4MiB live, 2.4MiB allocated; 0ms collecting garbage

Counts

10 → 18

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)
#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(/.f64 (-.f64 (.f64 x x) #s(literal 256 binary64)) (.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)))
(-.f64 (*.f64 x x) #s(literal 256 binary64))
(*.f64 x x)
(*.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))
(* 1/116 x)
-256
(- (pow x 2) 256)
(pow x 2)
-1856
(- (* 116 x) 1856)
-16
(- x 16)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* 116 x)
(* x (- 116 (* 1856 (/ 1 x))))
x
(* x (- 1 (* 16 (/ 1 x))))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(* -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 16) 116) (+ (* 1/116 x) 4/29) (/ (- (* x x) 256) (* (- x 16) 116)) (- (* x x) 256) (* x x) (* (- x 16) 116) (- x 16))
2.0ms	x	@	inf	((/ (+ x 16) 116) (/ (+ x 16) 116) (* 1/116 x) (/ (+ x 16) 116) (+ (* 1/116 x) 4/29) (/ (- (* x x) 256) (* (- x 16) 116)) (- (* x x) 256) (* x x) (* (- x 16) 116) (- x 16))
1.0ms	x	@	0	((/ (+ x 16) 116) (/ (+ x 16) 116) (* 1/116 x) (/ (+ x 16) 116) (+ (* 1/116 x) 4/29) (/ (- (* x x) 256) (* (- x 16) 116)) (- (* x x) 256) (* x x) (* (- x 16) 116) (- x 16))

Time

Variable

Point

Expression

2.0ms

-inf

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

2.0ms

inf

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

1.0ms

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

simplify99.0ms (3.5%)

Memory

-3.8MiB live, 40.7MiB allocated; 9ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	66
1	95	66
2	197	66
3	437	66
4	1348	66
5	4034	66
6	5881	66
7	6656	66
8	7811	66
0	8026	60

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 17

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 1/116 x))
(* 1/116 x)
-256
(- (pow x 2) 256)
(pow x 2)
-1856
(- (* 116 x) 1856)
-16
(- x 16)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* 116 x)
(* x (- 116 (* 1856 (/ 1 x))))
x
(* x (- 1 (* 16 (/ 1 x))))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(* -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)
-256
#s(literal -256 binary64)
(- (pow x 2) 256)
(fma.f64 x x #s(literal -256 binary64))
(pow x 2)
(*.f64 x x)
-1856
#s(literal -1856 binary64)
(- (* 116 x) 1856)
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 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))
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* x (- 116 (* 1856 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
x
(* x (- 1 (* 16 (/ 1 x))))
(-.f64 x #s(literal 16 binary64))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1856 binary64) x) #s(literal 116 binary64)))
(* -1 (* x (- (* 16 (/ 1 x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 16 binary64) x) #s(literal 1 binary64)))

rewrite213.0ms (7.5%)

Memory

30.4MiB live, 166.3MiB allocated; 26ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	60
0	25	54
1	92	54
2	559	54
3	5915	54
0	8431	54

Stop Event

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

Counts

10 → 301

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)
#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))
(fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64))
(/.f64 (-.f64 (.f64 x x) #s(literal 256 binary64)) (.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)))
(-.f64 (*.f64 x x) #s(literal 256 binary64))
(*.f64 x x)
(*.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(-.f64 x #s(literal 16 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))
(pow.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 1 binary64))
(sqrt.f64 (.f64 #s(literal 1/13456 binary64) (.f64 x x)))
(fabs.f64 (*.f64 #s(literal -1/116 binary64) x))
(fabs.f64 (*.f64 #s(literal 1/116 binary64) x))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/116 binary64) x)) #s(literal 1 binary64)))
#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/13456 binary64) (.f64 x x)) #s(literal 16/841 binary64)) (-.f64 (.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))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 1/13456 binary64) (.f64 x x)) #s(literal 16/841 binary64)) (-.f64 (.f64 #s(literal 1/13456 binary64) (*.f64 x x)) #s(literal 16/841 binary64))) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -1/1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (-.f64 (.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 1/841 binary64) x)) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 1/13456 binary64) (.f64 x x)) (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 1/841 binary64) x))))
(.f64 (/.f64 (fma.f64 #s(literal -1/1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 64/24389 binary64)) (fma.f64 #s(literal 1/2436396322816 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 1/841 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 1/181063936 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 1/841 binary64) x)) (-.f64 (-.f64 #s(literal 16/841 binary64) (.f64 #s(literal 1/841 binary64) x)) (.f64 #s(literal 1/13456 binary64) (*.f64 x x))))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 #s(literal 1/13456 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))) (.f64 (.f64 #s(literal 1/13456 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))))) (.f64 (/.f64 #s(literal 16/841 binary64) (-.f64 (.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))))) (fma.f64 (.f64 #s(literal 1/13456 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64))) (/.f64 #s(literal 16/841 binary64) (-.f64 (*.f64 #s(literal 1/116 binary64) x) #s(literal 4/29 binary64)))))
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eval107.0ms (3.8%)

Memory: -39.3MiB live, 69.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 8 178 to 1 230 computations (85% saved)

prune5.0ms (0.2%)

Memory

12.6MiB live, 12.6MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	311	1	312
Fresh	0	0	0
Picked	1	3	4
Done	0	1	1
Total	312	5	317

Accuracy

100.0%

Counts

317 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
▶	50.3%	(/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) (*.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)))
✓	99.9%	#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))
✓	49.9%	#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
✓	50.5%	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Compiler

Compiled 44 to 40 computations (9.1% saved)

simplify5.0ms (0.2%)

Memory

0.9MiB live, 0.9MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 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))
cost-diff	0	#s(approx (- (* x x) 256) #s(literal -256 binary64))
cost-diff	0	(/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) (*.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
0	14	32
1	21	32
2	36	32
3	55	32
4	67	32
0	67	32

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize43.0ms (1.5%)

Memory

-28.0MiB live, 17.8MiB allocated; 5ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x #s(literal 16 binary64))
accuracy	0.02734375	(*.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
accuracy	13.461082870557728	(/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) (*.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)))
accuracy	32.004342200678636	#s(approx (- (* x x) 256) #s(literal -256 binary64))

Samples

14.0ms	254×	0	valid
0.0ms	2×	2	valid

Compiler

Compiled 30 to 12 computations (60% saved)

Precisions

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

ival-mult: 4.0ms (47.7% of total)

ival-div: 2.0ms (23.9% of total)

ival-sub: 2.0ms (23.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series2.0ms (0.1%)

Memory

2.7MiB live, 2.7MiB allocated; 0ms collecting garbage

Counts

4 → 18

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) (*.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)))
#s(approx (- (* x x) 256) #s(literal -256 binary64))
(*.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))
-256
(- (pow x 2) 256)
-1856
(- (* 116 x) 1856)
-16
(- x 16)
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* 116 x)
(* x (- 116 (* 1856 (/ 1 x))))
x
(* x (- 1 (* 16 (/ 1 x))))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(* -1 (* x (- (* 16 (/ 1 x)) 1)))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

-inf

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

0.0ms

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

simplify109.0ms (3.9%)

Memory

20.3MiB live, 66.7MiB allocated; 2ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	66
1	95	66
2	197	66
3	437	66
4	1348	66
5	4022	66
6	5866	66
7	6651	66
8	7804	66
0	8019	60

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 17

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 1/116 x))
-256
(- (pow x 2) 256)
-1856
(- (* 116 x) 1856)
-16
(- x 16)
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* 116 x)
(* x (- 116 (* 1856 (/ 1 x))))
x
(* x (- 1 (* 16 (/ 1 x))))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(* -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))
-256
#s(literal -256 binary64)
(- (pow x 2) 256)
(fma.f64 x x #s(literal -256 binary64))
-1856
#s(literal -1856 binary64)
(- (* 116 x) 1856)
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 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))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* x (- 116 (* 1856 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
x
(* x (- 1 (* 16 (/ 1 x))))
(-.f64 x #s(literal 16 binary64))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1856 binary64) x) #s(literal 116 binary64)))
(* -1 (* x (- (* 16 (/ 1 x)) 1)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 16 binary64) x) #s(literal 1 binary64)))

rewrite170.0ms (6%)

Memory

-0.4MiB live, 96.4MiB allocated; 10ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
0	14	28
1	52	28
2	288	28
3	2614	28
0	8408	28

Stop Event

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

Counts

4 → 194

Calls

Call 1

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

Outputs
(.f64 (/.f64 (/.f64 #s(approx (- ( x x) 256) #s(literal -256 binary64)) #s(literal 116 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)))) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64)))))
(.f64 (/.f64 (neg.f64 (/.f64 #s(approx (- ( x x) 256) #s(literal -256 binary64)) #s(literal 116 binary64))) (-.f64 (*.f64 x x) #s(literal 256 binary64))) (+.f64 #s(literal -16 binary64) x))
(.f64 (/.f64 (/.f64 #s(approx (- ( x x) 256) #s(literal -256 binary64)) #s(literal 116 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64))) (*.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 x x #s(literal 256 binary64))))
(.f64 (/.f64 (/.f64 #s(approx (- ( x x) 256) #s(literal -256 binary64)) #s(literal 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 #s(approx (- ( x x) 256) #s(literal -256 binary64)) #s(literal 116 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64))) (.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 (.f64 #s(literal 256 binary64) x) x (+.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64))))))
(.f64 (/.f64 (/.f64 #s(approx (- ( x x) 256) #s(literal -256 binary64)) #s(literal 116 binary64)) (-.f64 (*.f64 x x) #s(literal 256 binary64))) (+.f64 #s(literal 16 binary64) x))
(.f64 (/.f64 #s(approx (- ( x x) 256) #s(literal -256 binary64)) (.f64 #s(literal 116 binary64) (-.f64 (.f64 x x) #s(literal 256 binary64)))) (+.f64 #s(literal 16 binary64) x))
(.f64 (/.f64 #s(approx (- ( x x) 256) #s(literal -256 binary64)) (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)) #s(literal 116 binary64))) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))))
(.f64 (/.f64 #s(approx (- ( x x) 256) #s(literal -256 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64))) (/.f64 (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))) #s(literal 116 binary64)))
(.f64 (/.f64 #s(approx (- ( x x) 256) #s(literal -256 binary64)) (-.f64 (*.f64 x x) #s(literal 256 binary64))) (/.f64 (+.f64 #s(literal -16 binary64) x) #s(literal -116 binary64)))
(/.f64 (neg.f64 (/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) #s(literal -116 binary64))) (-.f64 x #s(literal 16 binary64)))
(/.f64 (neg.f64 (neg.f64 (/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) #s(literal 116 binary64)))) (-.f64 x #s(literal 16 binary64)))
(/.f64 (/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) #s(literal -116 binary64)) (neg.f64 (-.f64 x #s(literal 16 binary64))))
(/.f64 (neg.f64 (/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) #s(literal 116 binary64))) (neg.f64 (-.f64 x #s(literal 16 binary64))))
(/.f64 (/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) #s(literal 116 binary64)) (-.f64 x #s(literal 16 binary64)))
(/.f64 (/.f64 (neg.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64))) (-.f64 x #s(literal 16 binary64))) #s(literal -116 binary64))
(/.f64 (/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) (-.f64 x #s(literal 16 binary64))) #s(literal 116 binary64))
(/.f64 (neg.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64))) (*.f64 #s(literal -116 binary64) (-.f64 x #s(literal 16 binary64))))
(/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) (*.f64 #s(literal 116 binary64) (-.f64 x #s(literal 16 binary64))))
(neg.f64 (/.f64 (/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) #s(literal -116 binary64)) (-.f64 x #s(literal 16 binary64))))
(+.f64 (/.f64 (.f64 (fma.f64 x x #s(literal 256 binary64)) (/.f64 #s(approx (- ( x x) 256) #s(literal -256 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)))) #s(literal 116 binary64)) (/.f64 (.f64 (.f64 #s(literal 16 binary64) x) (/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)))) #s(literal 116 binary64)))
(+.f64 (/.f64 (.f64 (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64)) (/.f64 #s(approx (- ( x x) 256) #s(literal -256 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)))) #s(literal 116 binary64)) (/.f64 (.f64 (.f64 x x) (/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)))) #s(literal 116 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x x) (/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)))) #s(literal 116 binary64)) (/.f64 (.f64 (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64)) (/.f64 #s(approx (- ( x x) 256) #s(literal -256 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)))) #s(literal 116 binary64)))
(+.f64 (/.f64 (.f64 #s(literal 16 binary64) (/.f64 #s(approx (- ( x x) 256) #s(literal -256 binary64)) (-.f64 (.f64 x x) #s(literal 256 binary64)))) #s(literal 116 binary64)) (/.f64 (.f64 x (/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) (-.f64 (*.f64 x x) #s(literal 256 binary64)))) #s(literal 116 binary64)))
(+.f64 (/.f64 (.f64 x (/.f64 #s(approx (- ( x x) 256) #s(literal -256 binary64)) (-.f64 (.f64 x x) #s(literal 256 binary64)))) #s(literal 116 binary64)) (/.f64 (.f64 #s(literal 16 binary64) (/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) (-.f64 (*.f64 x x) #s(literal 256 binary64)))) #s(literal 116 binary64)))
(+.f64 (/.f64 (.f64 (/.f64 #s(approx (- ( x x) 256) #s(literal -256 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64))) (fma.f64 x x #s(literal 256 binary64))) #s(literal 116 binary64)) (/.f64 (.f64 (/.f64 #s(approx (- ( x x) 256) #s(literal -256 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64))) (*.f64 #s(literal 16 binary64) x)) #s(literal 116 binary64)))
(+.f64 (/.f64 (.f64 (/.f64 #s(approx (- ( x x) 256) #s(literal -256 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64))) (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))) #s(literal 116 binary64)) (/.f64 (.f64 (/.f64 #s(approx (- ( x x) 256) #s(literal -256 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64))) (*.f64 x x)) #s(literal 116 binary64)))
(+.f64 (/.f64 (.f64 (/.f64 #s(approx (- ( x x) 256) #s(literal -256 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64))) (.f64 x x)) #s(literal 116 binary64)) (/.f64 (.f64 (/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64))) (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))) #s(literal 116 binary64)))
(+.f64 (/.f64 (.f64 (/.f64 #s(approx (- ( x x) 256) #s(literal -256 binary64)) (-.f64 (.f64 x x) #s(literal 256 binary64))) #s(literal 16 binary64)) #s(literal 116 binary64)) (/.f64 (.f64 (/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) (-.f64 (*.f64 x x) #s(literal 256 binary64))) x) #s(literal 116 binary64)))
(+.f64 (/.f64 (.f64 (/.f64 #s(approx (- ( x x) 256) #s(literal -256 binary64)) (-.f64 (.f64 x x) #s(literal 256 binary64))) x) #s(literal 116 binary64)) (/.f64 (.f64 (/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) (-.f64 (*.f64 x x) #s(literal 256 binary64))) #s(literal 16 binary64)) #s(literal 116 binary64)))
#s(approx (- (* x x) 256) #s(literal -256 binary64))
(neg.f64 (neg.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64))))
(.f64 (/.f64 #s(literal 116 binary64) (/.f64 (neg.f64 (-.f64 (.f64 x x) #s(literal 256 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 256 binary64)) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))))))
(.f64 (/.f64 #s(literal 116 binary64) (/.f64 (neg.f64 (-.f64 (.f64 x x) #s(literal 256 binary64))) (-.f64 (*.f64 x x) #s(literal 256 binary64)))) (neg.f64 (-.f64 x #s(literal 16 binary64))))
(.f64 (/.f64 #s(literal 116 binary64) (/.f64 (-.f64 (.f64 x x) #s(literal 256 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64)))) (/.f64 (-.f64 (.f64 x x) #s(literal 256 binary64)) (.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 x x #s(literal 256 binary64)))))
(.f64 (/.f64 #s(literal 116 binary64) (/.f64 (-.f64 (.f64 x x) #s(literal 256 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)))) (/.f64 (-.f64 (*.f64 x x) #s(literal 256 binary64)) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64)))))
(.f64 (/.f64 #s(literal 116 binary64) (/.f64 (-.f64 (.f64 x x) #s(literal 256 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)))) (/.f64 (-.f64 (.f64 x x) #s(literal 256 binary64)) (.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 (*.f64 #s(literal 256 binary64) x) x (+.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(.f64 (/.f64 #s(literal 116 binary64) (/.f64 (-.f64 (.f64 x x) #s(literal 256 binary64)) (-.f64 (*.f64 x x) #s(literal 256 binary64)))) (-.f64 x #s(literal 16 binary64)))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 256 binary64)) (/.f64 (neg.f64 (-.f64 (*.f64 x x) #s(literal 256 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)))) (/.f64 #s(literal 116 binary64) (neg.f64 (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))))))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 256 binary64)) (/.f64 (neg.f64 (-.f64 (.f64 x x) #s(literal 256 binary64))) (-.f64 (.f64 x x) #s(literal 256 binary64)))) (/.f64 #s(literal 116 binary64) (+.f64 #s(literal -16 binary64) x)))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 256 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 256 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64)))) (/.f64 #s(literal 116 binary64) (.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 x x #s(literal 256 binary64)))))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 256 binary64)) (/.f64 (-.f64 (*.f64 x x) #s(literal 256 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 4096 binary64)))) (/.f64 #s(literal 116 binary64) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64)))))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 256 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 256 binary64)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)))) (/.f64 #s(literal 116 binary64) (.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 (*.f64 #s(literal 256 binary64) x) x (+.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(.f64 (/.f64 (-.f64 (.f64 x x) #s(literal 256 binary64)) (/.f64 (-.f64 (.f64 x x) #s(literal 256 binary64)) (-.f64 (.f64 x x) #s(literal 256 binary64)))) (/.f64 #s(literal -116 binary64) (+.f64 #s(literal -16 binary64) x)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64)) (+.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 116 binary64) (fma.f64 x x #s(literal 256 binary64))))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) (+.f64 #s(literal 16 binary64) x)) (/.f64 #s(literal 116 binary64) (fma.f64 (.f64 #s(literal 256 binary64) x) x (+.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64))))))
(*.f64 (/.f64 #s(literal 116 binary64) (fma.f64 x x #s(literal 256 binary64))) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 65536 binary64)) (+.f64 #s(literal 16 binary64) x)))
(.f64 (/.f64 #s(literal 116 binary64) (fma.f64 (.f64 #s(literal 256 binary64) x) x (+.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64))))) (/.f64 (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 16777216 binary64)) (+.f64 #s(literal 16 binary64) x)))
(.f64 (/.f64 #s(literal -116 binary64) (+.f64 #s(literal -16 binary64) x)) (-.f64 (.f64 x x) #s(literal 256 binary64)))
(.f64 (/.f64 (.f64 #s(literal 116 binary64) (-.f64 (*.f64 x x) #s(literal 256 binary64))) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))))
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(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))) #s(literal 3 binary64))) (+.f64 (pow.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 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64)))) #s(literal 2 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 (pow.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64)))) #s(literal 3 binary64)) (+.f64 (pow.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 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 4096 binary64) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64)))) #s(literal 2 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 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (+.f64 #s(literal -16 binary64) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 #s(literal -16 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -256 binary64) (+.f64 #s(literal -16 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (+.f64 #s(literal -16 binary64) x))) (/.f64 #s(literal -256 binary64) (+.f64 #s(literal -16 binary64) x)))))) (/.f64 (pow.f64 (/.f64 #s(literal -256 binary64) (+.f64 #s(literal -16 binary64) x)) #s(literal 3 binary64)) (+.f64 (pow.f64 (.f64 x (/.f64 x (+.f64 #s(literal -16 binary64) x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal -256 binary64) (+.f64 #s(literal -16 binary64) x)) #s(literal 2 binary64)) (.f64 (.f64 x (/.f64 x (+.f64 #s(literal -16 binary64) x))) (/.f64 #s(literal -256 binary64) (+.f64 #s(literal -16 binary64) x)))))))
(-.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)))) (pow.f64 (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))) #s(literal 2 binary64))) (/.f64 (.f64 (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))) #s(literal 4096 binary64)) (pow.f64 (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))) #s(literal 2 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) (+.f64 #s(literal 16 binary64) x)) (pow.f64 (+.f64 #s(literal 16 binary64) x) #s(literal 2 binary64))) (/.f64 (*.f64 (+.f64 #s(literal 16 binary64) x) #s(literal 256 binary64)) (pow.f64 (+.f64 #s(literal 16 binary64) x) #s(literal 2 binary64))))
(-.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (.f64 (+.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 x x #s(literal 256 binary64))))) (/.f64 #s(literal 4294967296 binary64) (.f64 (+.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 x x #s(literal 256 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 16777216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 281474976710656 binary64))) (.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 (.f64 #s(literal 256 binary64) x) x (+.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64))))))) (/.f64 #s(literal 4722366482869645213696 binary64) (.f64 (+.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 16777216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 281474976710656 binary64))) (.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 (.f64 #s(literal 256 binary64) x) x (+.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (.f64 (+.f64 (fma.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16777216 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))))) (/.f64 #s(literal 68719476736 binary64) (.f64 (+.f64 (fma.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16777216 binary64)) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (+.f64 (fma.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4294967296 binary64)) (pow.f64 x #s(literal 8 binary64))) (.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 x x #s(literal 256 binary64))))) (/.f64 #s(literal 281474976710656 binary64) (.f64 (+.f64 (fma.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4294967296 binary64)) (pow.f64 x #s(literal 8 binary64))) (.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 x x #s(literal 256 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (.f64 (+.f64 #s(literal 16777216 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 (.f64 #s(literal 256 binary64) x) x (+.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64))))))) (/.f64 #s(literal 281474976710656 binary64) (.f64 (+.f64 #s(literal 16777216 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 (.f64 #s(literal 256 binary64) x) x (+.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64))))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 8 binary64)) (+.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 x x #s(literal 256 binary64)))) (/.f64 (/.f64 #s(literal 4294967296 binary64) (+.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 x x #s(literal 256 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 (fma.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4294967296 binary64)) (pow.f64 x #s(literal 8 binary64)))) (.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 x x #s(literal 256 binary64)))) (/.f64 (/.f64 #s(literal 281474976710656 binary64) (+.f64 (fma.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 4294967296 binary64)) (pow.f64 x #s(literal 8 binary64)))) (.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 x x #s(literal 256 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 9 binary64)) (+.f64 (fma.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16777216 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64)))) (/.f64 (/.f64 #s(literal 68719476736 binary64) (+.f64 (fma.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 16777216 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64)))) (/.f64 (/.f64 #s(literal 16777216 binary64) (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64)))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 16777216 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))))) (/.f64 (/.f64 #s(literal 281474976710656 binary64) (+.f64 #s(literal 16777216 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 16777216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 281474976710656 binary64)))) (.f64 (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))))) (/.f64 (/.f64 #s(literal 4722366482869645213696 binary64) (+.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 16777216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 281474976710656 binary64)))) (.f64 (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (+.f64 #s(literal 4096 binary64) (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 16777216 binary64) (.f64 (+.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (fma.f64 #s(literal 16 binary64) x #s(literal 256 binary64))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 12 binary64)) (+.f64 #s(literal 16777216 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 (.f64 #s(literal 256 binary64) x) x (+.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (/.f64 #s(literal 281474976710656 binary64) (+.f64 #s(literal 16777216 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 (.f64 #s(literal 256 binary64) x) x (+.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 18 binary64)) (+.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 16777216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 281474976710656 binary64)))) (.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 (.f64 #s(literal 256 binary64) x) x (+.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 (/.f64 #s(literal 4722366482869645213696 binary64) (+.f64 (pow.f64 x #s(literal 12 binary64)) (fma.f64 #s(literal 16777216 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 281474976710656 binary64)))) (.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 (.f64 #s(literal 256 binary64) x) x (+.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -256 binary64))) (neg.f64 (+.f64 #s(literal -16 binary64) x))) (/.f64 (/.f64 #s(literal -65536 binary64) (fma.f64 x x #s(literal -256 binary64))) (neg.f64 (+.f64 #s(literal -16 binary64) x))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 256 binary64) x) x (+.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (+.f64 #s(literal -16 binary64) x))) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 (.f64 #s(literal 256 binary64) x) x (+.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (+.f64 #s(literal -16 binary64) x))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 x x #s(literal 256 binary64)))) (/.f64 #s(literal 65536 binary64) (.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 x x #s(literal 256 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 (.f64 #s(literal 256 binary64) x) x (+.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64)))))) (/.f64 #s(literal 16777216 binary64) (.f64 (+.f64 #s(literal 16 binary64) x) (fma.f64 (.f64 #s(literal 256 binary64) x) x (+.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64)))))))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal -256 binary64))) (+.f64 #s(literal 16 binary64) x)) (/.f64 (/.f64 #s(literal -65536 binary64) (fma.f64 x x #s(literal -256 binary64))) (+.f64 #s(literal 16 binary64) x)))
(-.f64 (/.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (fma.f64 (.f64 #s(literal 256 binary64) x) x (+.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 #s(literal 16 binary64) x)) (/.f64 (/.f64 #s(literal 16777216 binary64) (fma.f64 (.f64 #s(literal 256 binary64) x) x (+.f64 #s(literal 65536 binary64) (pow.f64 x #s(literal 4 binary64))))) (+.f64 #s(literal 16 binary64) x)))
(-.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 (*.f64 x (/.f64 x (+.f64 #s(literal -16 binary64) x))) (/.f64 #s(literal -256 binary64) (+.f64 #s(literal -16 binary64) x)))
(-.f64 x #s(literal 16 binary64))

eval32.0ms (1.1%)

Memory: 11.5MiB live, 55.2MiB allocated; 8ms collecting garbage
Compiler: Compiled 7 245 to 927 computations (87.2% saved)

prune4.0ms (0.1%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	205	1	206
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	206	5	211

Accuracy

100.0%

Counts

211 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
▶	50.3%	(/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) #s(approx (* (- x 16) 116) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))))
✓	99.9%	#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))
✓	49.9%	#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
✓	50.5%	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Compiler

Compiled 49 to 44 computations (10.2% saved)

simplify5.0ms (0.2%)

Memory

5.9MiB live, 5.9MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
cost-diff	0	#s(approx (* (- x 16) 116) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
cost-diff	0	#s(approx (- (* x x) 256) #s(literal -256 binary64))
cost-diff	0	(/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) #s(approx (* (- x 16) 116) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	43
0	17	43
1	24	43
2	43	43
3	68	43
4	87	43
5	87	43
0	87	43

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) #s(approx (* (- x 16) 116) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))))
#s(approx (- (* x x) 256) #s(literal -256 binary64))
#s(literal -256 binary64)
#s(approx (* (- x 16) 116) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
#s(literal 116 binary64)
x
#s(literal -1856 binary64)

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

localize80.0ms (2.8%)

Memory

-38.3MiB live, 51.4MiB allocated; 10ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
accuracy	0.0	#s(approx (* (- x 16) 116) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
accuracy	13.461082870557728	(/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) #s(approx (* (- x 16) 116) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))))
accuracy	32.004342200678636	#s(approx (- (* x x) 256) #s(literal -256 binary64))

Samples

33.0ms	254×	0	valid
0.0ms	2×	2	valid

Compiler

Compiled 32 to 15 computations (53.1% saved)

Precisions

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

ival-mult: 20.0ms (75.9% of total)

ival-div: 2.0ms (7.6% of total)

ival-sub: 2.0ms (7.6% of total)

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

exact: 1.0ms (3.8% of total)

adjust: 0.0ms (0% of total)

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

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

series2.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB allocated; 0ms collecting garbage

Counts

4 → 13

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) #s(approx (* (- x 16) 116) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))))
#s(approx (- (* x x) 256) #s(literal -256 binary64))
#s(approx (* (- x 16) 116) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))

Outputs
4/29
(+ 4/29 (* 1/116 x))
-256
(- (pow x 2) 256)
-1856
(- (* 116 x) 1856)
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* 116 x)
(* x (- 116 (* 1856 (/ 1 x))))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

((/ (- (* x x) 256) (* (- x 16) 116)) (- (* x x) 256) (* (- x 16) 116) (+ (* 116 x) -1856))

1.0ms

-inf

((/ (- (* x x) 256) (* (- x 16) 116)) (- (* x x) 256) (* (- x 16) 116) (+ (* 116 x) -1856))

1.0ms

((/ (- (* x x) 256) (* (- x 16) 116)) (- (* x x) 256) (* (- x 16) 116) (+ (* 116 x) -1856))

simplify112.0ms (4%)

Memory

-5.1MiB live, 55.0MiB allocated; 15ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	50
1	75	50
2	153	50
3	362	50
4	1185	50
5	3801	50
6	5629	50
7	6313	50
8	6824	50
9	7907	50
0	8154	44

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 13

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 1/116 x))
-256
(- (pow x 2) 256)
-1856
(- (* 116 x) 1856)
(* 1/116 x)
(* x (+ 1/116 (* 4/29 (/ 1 x))))
(pow x 2)
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(* 116 x)
(* x (- 116 (* 1856 (/ 1 x))))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))

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))
-256
#s(literal -256 binary64)
(- (pow x 2) 256)
(fma.f64 x x #s(literal -256 binary64))
-1856
#s(literal -1856 binary64)
(- (* 116 x) 1856)
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 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))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 256 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -256 binary64))
(* 116 x)
(*.f64 #s(literal 116 binary64) x)
(* x (- 116 (* 1856 (/ 1 x))))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(* -1 (* x (- (* 1856 (/ 1 x)) 116)))
(*.f64 (neg.f64 x) (-.f64 (/.f64 #s(literal 1856 binary64) x) #s(literal 116 binary64)))

rewrite137.0ms (4.8%)

Memory

28.3MiB live, 214.8MiB allocated; 33ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	39
0	17	39
1	69	39
2	404	39
3	3563	39
0	8449	39

Stop Event

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

Counts

4 → 72

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) #s(approx (* (- x 16) 116) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))))
#s(approx (- (* x x) 256) #s(literal -256 binary64))
#s(approx (* (- x 16) 116) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64)))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))

Outputs
(/.f64 (neg.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64))) (neg.f64 #s(approx (* (- x 16) 116) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)))))
(/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) #s(approx (* (- x 16) 116) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64))))
(neg.f64 (/.f64 (neg.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64))) #s(approx (* (- x 16) 116) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)))))
#s(approx (- (* x x) 256) #s(literal -256 binary64))
(neg.f64 (neg.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64))))
#s(approx (* (- x 16) 116) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)))
(neg.f64 (neg.f64 #s(approx (* (- x 16) 116) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 13456 binary64) (.f64 x x)) #s(literal 3444736 binary64)) (-.f64 (pow.f64 (.f64 #s(literal -116 binary64) x) #s(literal 3 binary64)) #s(literal -6393430016 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -6393430016 binary64)) (-.f64 (.f64 #s(literal 181063936 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -215296 binary64) x #s(literal 3444736 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 13456 binary64) (.f64 x x)) (fma.f64 #s(literal -215296 binary64) x #s(literal 3444736 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -6393430016 binary64)) (fma.f64 #s(literal 2436396322816 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -215296 binary64) x #s(literal 3444736 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 181063936 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -215296 binary64) x #s(literal 3444736 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)))))
(.f64 (/.f64 (-.f64 (.f64 #s(literal 13456 binary64) (.f64 x x)) #s(literal 3444736 binary64)) (-.f64 (.f64 #s(literal 13456 binary64) (*.f64 x x)) #s(literal 3444736 binary64))) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 3444736 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64))) (.f64 (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)) (.f64 #s(literal 13456 binary64) (.f64 x x)))) (*.f64 (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 13456 binary64) (.f64 x x)) (neg.f64 (-.f64 (.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64)))) (.f64 (neg.f64 (-.f64 (.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64))) #s(literal -3444736 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 13456 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64))) (.f64 (neg.f64 (-.f64 (.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64))) #s(literal 3444736 binary64))) (.f64 (neg.f64 (-.f64 (.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64))) (-.f64 (*.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 13456 binary64) (.f64 x x)) (neg.f64 (-.f64 (.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64)))) (.f64 (-.f64 (.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64)) #s(literal -3444736 binary64))) (.f64 (-.f64 (.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64)))))
(/.f64 (fma.f64 #s(literal 6393430016 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))) (.f64 (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))) (pow.f64 (.f64 #s(literal -116 binary64) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 6393430016 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)) (.f64 (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))) (pow.f64 (.f64 #s(literal -116 binary64) x) #s(literal 3 binary64)))) (.f64 (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))))
(/.f64 (fma.f64 #s(literal -6393430016 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))) (.f64 (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)) (pow.f64 (.f64 #s(literal -116 binary64) x) #s(literal 3 binary64)))) (.f64 (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)))))
(/.f64 (fma.f64 #s(literal -6393430016 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)) (pow.f64 (.f64 #s(literal -116 binary64) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal -116 binary64) x) #s(literal 3 binary64)) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))) (.f64 (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))) #s(literal 6393430016 binary64))) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal -116 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)) (.f64 (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))) #s(literal -6393430016 binary64))) (.f64 (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))) (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal -116 binary64) x) #s(literal 3 binary64)) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))) (.f64 (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)) #s(literal 6393430016 binary64))) (.f64 (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)))))
(/.f64 (-.f64 (.f64 #s(literal 13456 binary64) (.f64 x x)) #s(literal -3444736 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64))))
(/.f64 (-.f64 (pow.f64 (.f64 (.f64 #s(literal 13456 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 3444736 binary64) (-.f64 (.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64))) #s(literal 2 binary64))) (fma.f64 (.f64 #s(literal 13456 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64))) (/.f64 #s(literal 3444736 binary64) (-.f64 (*.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -116 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal -6393430016 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))) #s(literal 2 binary64))) (-.f64 (.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64)))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal 13456 binary64) (-.f64 (.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64))) #s(literal 3 binary64))) (pow.f64 (/.f64 #s(literal 3444736 binary64) (-.f64 (.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 13456 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 3444736 binary64) (-.f64 (.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64))) #s(literal 2 binary64)) (.f64 (.f64 (.f64 #s(literal 13456 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64)))) (/.f64 #s(literal 3444736 binary64) (-.f64 (.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64)))))))
(/.f64 (fma.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal 1560896 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -6393430016 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal -116 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(literal -6393430016 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 (pow.f64 (.f64 #s(literal -116 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))) (/.f64 #s(literal -6393430016 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (.f64 #s(literal 13456 binary64) (.f64 x x)) #s(literal 3444736 binary64)))) (neg.f64 (neg.f64 (-.f64 (*.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 6393430016 binary64))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)))))
(/.f64 (neg.f64 (fma.f64 #s(literal 13456 binary64) (*.f64 x x) #s(literal 3444736 binary64))) (neg.f64 (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64))))
(/.f64 (-.f64 (.f64 (.f64 #s(literal 13456 binary64) (.f64 x x)) (-.f64 (.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64))) (.f64 (-.f64 (.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64)) #s(literal 3444736 binary64))) (pow.f64 (-.f64 (*.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 (pow.f64 (.f64 #s(literal -116 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)) (.f64 (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)) #s(literal -6393430016 binary64))) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)) #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 13456 binary64) (*.f64 x x) #s(literal 3444736 binary64)) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64)))
(/.f64 (-.f64 (.f64 #s(literal 181063936 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 11866206109696 binary64)) (.f64 (fma.f64 #s(literal 13456 binary64) (.f64 x x) #s(literal 3444736 binary64)) (-.f64 (.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 2436396322816 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 40875947369489760256 binary64)) (.f64 (fma.f64 #s(literal 181063936 binary64) (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 46352367616 binary64) (.f64 x x) #s(literal 11866206109696 binary64))) (-.f64 (.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 2436396322816 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 40875947369489760256 binary64)) (.f64 (-.f64 (pow.f64 (.f64 #s(literal -116 binary64) x) #s(literal 3 binary64)) #s(literal -6393430016 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))))
(/.f64 (fma.f64 #s(literal 3802961274698203136 binary64) (pow.f64 x #s(literal 9 binary64)) #s(literal -261337508844532075825354244096 binary64)) (.f64 (fma.f64 #s(literal 2436396322816 binary64) (pow.f64 x #s(literal 6 binary64)) (-.f64 #s(literal 40875947369489760256 binary64) (.f64 #s(literal -9979479338254336 binary64) (pow.f64 x #s(literal 3 binary64))))) (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))))
(/.f64 (neg.f64 (-.f64 (.f64 #s(literal 13456 binary64) (.f64 x x)) #s(literal 3444736 binary64))) (neg.f64 (-.f64 (*.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64))))
(/.f64 (fma.f64 #s(literal -1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 6393430016 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))))
(/.f64 (-.f64 (.f64 #s(literal 13456 binary64) (.f64 x x)) #s(literal 3444736 binary64)) (-.f64 (*.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64)))
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(neg.f64 (/.f64 (fma.f64 #s(literal -1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 6393430016 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))))
(neg.f64 (/.f64 (-.f64 (.f64 #s(literal 13456 binary64) (.f64 x x)) #s(literal 3444736 binary64)) (neg.f64 (-.f64 (*.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64)))))
(neg.f64 (/.f64 (fma.f64 #s(literal -1560896 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -6393430016 binary64)) (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)))))
(fma.f64 (sqrt.f64 (.f64 #s(literal -116 binary64) x)) (sqrt.f64 (.f64 #s(literal -116 binary64) x)) #s(literal -1856 binary64))
(fma.f64 (sqrt.f64 (.f64 (.f64 #s(literal -116 binary64) x) x)) (sqrt.f64 #s(literal 116 binary64)) #s(literal -1856 binary64))
(fma.f64 (sqrt.f64 #s(literal 116 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal -116 binary64) x) x)) #s(literal -1856 binary64))
(fma.f64 (sqrt.f64 (*.f64 #s(literal 13456 binary64) x)) (sqrt.f64 x) #s(literal -1856 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal 116 binary64))) x #s(literal -1856 binary64))
(fma.f64 (/.f64 #s(literal -6393430016 binary64) (-.f64 (.f64 #s(literal 181063936 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -215296 binary64) x #s(literal 3444736 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 13456 binary64) (.f64 x x)) (fma.f64 #s(literal -215296 binary64) x #s(literal 3444736 binary64))) (/.f64 (pow.f64 (.f64 #s(literal -116 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))))
(fma.f64 (/.f64 #s(literal -6393430016 binary64) (fma.f64 #s(literal 2436396322816 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -215296 binary64) x #s(literal 3444736 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 181063936 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -215296 binary64) x #s(literal 3444736 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)))) (/.f64 (pow.f64 (.f64 #s(literal -116 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -116 binary64) x) #s(literal 3 binary64)) (-.f64 (.f64 #s(literal 181063936 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -215296 binary64) x #s(literal 3444736 binary64)) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 13456 binary64) (.f64 x x)) (fma.f64 #s(literal -215296 binary64) x #s(literal 3444736 binary64))) (/.f64 #s(literal -6393430016 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))))
(fma.f64 (/.f64 (pow.f64 (.f64 #s(literal -116 binary64) x) #s(literal 3 binary64)) (fma.f64 #s(literal 2436396322816 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -215296 binary64) x #s(literal 3444736 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 181063936 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -215296 binary64) x #s(literal 3444736 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64)))) (/.f64 #s(literal -6393430016 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 13456 binary64) x)) #s(literal -1856 binary64))
(fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64))
(fma.f64 (pow.f64 (.f64 #s(literal -116 binary64) x) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (.f64 #s(literal -116 binary64) x) #s(literal 3/2 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))) (/.f64 #s(literal -6393430016 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))))
(fma.f64 #s(literal 1560896 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))) (/.f64 #s(literal -6393430016 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 #s(literal 1560896 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))) (/.f64 #s(literal -6393430016 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))))
(fma.f64 (.f64 #s(literal 13456 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal -116 binary64) x) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))) (/.f64 #s(literal -6393430016 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))))
(fma.f64 (.f64 #s(literal -116 binary64) x) (/.f64 (.f64 #s(literal 13456 binary64) (.f64 x x)) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))) (/.f64 #s(literal -6393430016 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))))
(fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))
(fma.f64 x (exp.f64 (log.f64 #s(literal 116 binary64))) #s(literal -1856 binary64))
(fma.f64 x #s(literal -116 binary64) #s(literal -1856 binary64))
(fma.f64 x #s(literal 116 binary64) #s(literal -1856 binary64))
(-.f64 (/.f64 #s(literal 3444736 binary64) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64))) (/.f64 (.f64 #s(literal 13456 binary64) (.f64 x x)) (fma.f64 #s(literal -116 binary64) x #s(literal -1856 binary64))))
(-.f64 (.f64 (.f64 #s(literal 13456 binary64) x) (/.f64 x (-.f64 (.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64)))) (/.f64 #s(literal 3444736 binary64) (-.f64 (.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64))))
(-.f64 #s(literal -1856 binary64) (*.f64 #s(literal -116 binary64) x))
(+.f64 (/.f64 #s(literal -6393430016 binary64) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))) (/.f64 (pow.f64 (.f64 #s(literal -116 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -116 binary64) x) #s(literal 3 binary64)) (fma.f64 x (-.f64 (.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))) (/.f64 #s(literal -6393430016 binary64) (fma.f64 x (-.f64 (*.f64 #s(literal 13456 binary64) x) #s(literal -215296 binary64)) #s(literal 3444736 binary64))))
(+.f64 (*.f64 #s(literal -116 binary64) x) #s(literal -1856 binary64))
(+.f64 #s(literal -1856 binary64) (*.f64 #s(literal -116 binary64) x))

eval12.0ms (0.4%)

Memory: -9.8MiB live, 36.7MiB allocated; 3ms collecting garbage
Compiler: Compiled 2 780 to 401 computations (85.6% saved)

prune4.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	81	5	86

Accuracy

100.0%

Counts

86 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
✓	50.3%	(/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) #s(approx (* (- x 16) 116) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))))
✓	99.9%	#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))
✓	49.9%	#s(approx (/ (+ x 16) 116) (*.f64 #s(literal 1/116 binary64) x))
✓	50.5%	#s(approx (/ (+ x 16) 116) #s(literal 4/29 binary64))

Compiler

Compiled 122 to 78 computations (36.1% saved)

regimes9.0ms (0.3%)

Memory

-26.3MiB live, 20.5MiB allocated; 2ms collecting garbage

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))
#s(approx (/ (+ x 16) 116) (fma.f64 #s(literal 1/116 binary64) x #s(literal 4/29 binary64)))
(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
(/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) #s(approx (* (- x 16) 116) (fma.f64 #s(literal 116 binary64) x #s(literal -1856 binary64))))
(/.f64 #s(approx (- (* x x) 256) #s(literal -256 binary64)) (*.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)))
(/.f64 (-.f64 (.f64 x x) #s(literal 256 binary64)) (.f64 (-.f64 x #s(literal 16 binary64)) #s(literal 116 binary64)))

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

Calls

3 calls:

4.0ms	(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))
2.0ms	x
2.0ms	(+.f64 x #s(literal 16 binary64))

Results

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

Compiler

Compiled 9 to 9 computations (0% saved)

regimes5.0ms (0.2%)

Memory

11.8MiB live, 11.8MiB allocated; 0ms collecting garbage

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))

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

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

Calls

3 calls:

2.0ms	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
99.9%	1	`(+.f64 x #s(literal 16 binary64))`
99.9%	1	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
99.9%	1	`x`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes4.0ms (0.1%)

Memory

9.9MiB live, 9.9MiB allocated; 0ms collecting garbage

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
96.7%	3	`(+.f64 x #s(literal 16 binary64))`
96.7%	3	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
96.7%	3	`x`

Compiler

Compiled 9 to 9 computations (0% saved)

regimes3.0ms (0.1%)

Memory

9.6MiB live, 9.6MiB allocated; 0ms collecting garbage

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

Results

Accuracy	Segments	Branch
50.5%	1	`(+.f64 x #s(literal 16 binary64))`
50.5%	1	`(/.f64 (+.f64 x #s(literal 16 binary64)) #s(literal 116 binary64))`
50.5%	1	`x`

Compiler

Compiled 9 to 9 computations (0% saved)

bsearch98.0ms (3.5%)

Memory

-36.7MiB live, 61.2MiB allocated; 10ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	0.007755956568291116	6457.161224281574
52.0ms	-27.57486862914978	-3.9429924842304666e-5

Samples

51.0ms

288×

valid

Compiler

Compiled 296 to 315 computations (-6.4% saved)

Precisions

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

ival-div: 2.0ms (48.3% of total)

ival-add: 1.0ms (24.1% of total)

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

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

simplify11.0ms (0.4%)

Memory

24.7MiB live, 24.8MiB allocated; 0ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	47
1	26	47
2	27	47

Stop Event

1×

saturated

Calls

Call 1

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

derivations62.0ms (2.2%)

Memory

-25.1MiB live, 22.2MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	22
1	53	22
2	111	22
3	287	22
4	418	22
5	503	22
6	614	22
7	668	22
8	700	22
0	700	20

Stop Event

1×	done
1×	iter limit
1×	saturated

Compiler

Compiled 47 to 22 computations (53.2% saved)

preprocess24.0ms (0.8%)

Memory: 32.6MiB live, 32.6MiB allocated; 0ms collecting garbage
Compiler: Compiled 104 to 54 computations (48.1% saved)

end0.0ms (0%)

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

Iter	Nodes	Cost
0	18	70
0	25	70
1	41	70
2	90	70
3	174	70
4	266	70
5	338	70
6	377	70
7	396	70
8	424	70
9	449	70
10	461	70
0	461	70

Iter	Nodes	Cost
0	18	70
0	25	70
1	41	70
2	90	70
3	174	70
4	266	70
5	338	70
6	377	70
7	396	70
8	424	70
9	449	70
10	461	70
0	461	70

start0.0ms (0%)

analyze0.0ms (0%)

sample918.0ms (32.4%)

explain53.0ms (1.9%)

preprocess35.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize13.0ms (0.5%)

series1.0ms (0%)

simplify51.0ms (1.8%)

rewrite188.0ms (6.6%)

eval135.0ms (4.8%)

prune5.0ms (0.2%)

simplify15.0ms (0.5%)

localize54.0ms (1.9%)

series5.0ms (0.2%)

simplify99.0ms (3.5%)

rewrite213.0ms (7.5%)

eval107.0ms (3.8%)

prune5.0ms (0.2%)

simplify5.0ms (0.2%)

localize43.0ms (1.5%)

series2.0ms (0.1%)

simplify109.0ms (3.9%)

rewrite170.0ms (6%)

eval32.0ms (1.1%)

prune4.0ms (0.1%)

simplify5.0ms (0.2%)

localize80.0ms (2.8%)

series2.0ms (0.1%)

simplify112.0ms (4%)

rewrite137.0ms (4.8%)

eval12.0ms (0.4%)

prune4.0ms (0.1%)

regimes9.0ms (0.3%)

regimes5.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch98.0ms (3.5%)

simplify11.0ms (0.4%)

derivations62.0ms (2.2%)

preprocess24.0ms (0.8%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	70
0	25	70
1	41	70
2	90	70
3	174	70
4	266	70
5	338	70
6	377	70
7	396	70
8	424	70
9	449	70
10	461	70
0	461	70