Metrics for Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, E

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.8s (27.7%)

Memory

43.5MiB live, 1 011.1MiB allocated

Samples

1.4s	7 655×	0	valid
30.0ms	339×	1	valid
29.0ms	262×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 362.0ms

ival-mult: 289.0ms (79.9% of total)

ival-sub: 46.0ms (12.7% of total)

adjust: 10.0ms (2.8% of total)

exact: 8.0ms (2.2% of total)

ival-true: 6.0ms (1.7% of total)

ival-assert: 4.0ms (1.1% of total)

Bogosity

explain91.0ms (1.4%)

Memory

8.7MiB live, 169.0MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))`
-	-	`(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))`
-	-	`#s(literal 2 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`
-	-	`(*.f64 x #s(literal 3 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

28.0ms	416×	0	valid
6.0ms	46×	2	valid
5.0ms	50×	1	valid

Compiler

Compiled 94 to 32 computations (66% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-mult: 19.0ms (74.7% of total)

ival-sub: 3.0ms (11.8% of total)

adjust: 2.0ms (7.9% of total)

exact: 1.0ms (3.9% of total)

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

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

preprocess92.0ms (1.4%)

Memory

-2.8MiB live, 73.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	33	18
2	97	14
3	332	14
4	923	14
5	1333	14
6	1344	14
7	1348	14
8	1348	14
0	7	9
0	11	9
1	21	9
2	46	7
3	99	7
4	196	7
5	285	7
6	380	7
7	581	7
8	682	7
9	769	7
10	943	7
11	1020	7
12	1020	7
13	1020	7
0	1020	6

Stop Event

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

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Outputs
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)

Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify39.0ms (0.6%)

Memory

-30.3MiB live, 25.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x #s(literal 3 binary64))
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
cost-diff	128	(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
cost-diff	320	(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	27
0	11	27
1	21	27
2	46	23
3	99	23
4	196	23
5	285	23
6	380	23
7	581	23
8	682	23
9	769	23
10	943	23
11	1020	23
12	1020	23
13	1020	23
0	1020	20

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
#s(literal 3 binary64)
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
#s(literal 2 binary64)
(*.f64 x #s(literal 3 binary64))
x

Outputs
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
#s(literal 3 binary64)
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 x #s(literal 3 binary64))
x

localize23.0ms (0.4%)

Memory

6.1MiB live, 44.9MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x #s(literal 3 binary64))
accuracy	0.05859375	(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
accuracy	0.1484375	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
accuracy	0.16015625	(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))

Samples

10.0ms	208×	0	valid
5.0ms	23×	2	valid
2.0ms	25×	1	valid

Compiler

Compiled 56 to 16 computations (71.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 5.0ms (53.2% of total)

ival-sub: 3.0ms (31.9% of total)

adjust: 1.0ms (10.6% of total)

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

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

exact: 0.0ms (0% of total)

series3.0ms (0%)

Memory

6.9MiB live, 6.9MiB allocated

Counts

4 → 15

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(*.f64 x #s(literal 3 binary64))

Outputs
6
(+ 6 (* -9 x))
2
(+ 2 (* -3 x))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* 3 x)
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* -3 x)
(* x (- (* 2 (/ 1 x)) 3))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* (* 3 (- 2 (* x 3))) x) (* x 3))
1.0ms	x	@	-inf	((* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* (* 3 (- 2 (* x 3))) x) (* x 3))
1.0ms	x	@	0	((* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* (* 3 (- 2 (* x 3))) x) (* x 3))

Time

Variable

Point

Expression

1.0ms

inf

((* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* (* 3 (- 2 (* x 3))) x) (* x 3))

1.0ms

-inf

((* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* (* 3 (- 2 (* x 3))) x) (* x 3))

1.0ms

((* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* (* 3 (- 2 (* x 3))) x) (* x 3))

simplify94.0ms (1.4%)

Memory

-4.2MiB live, 70.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	63
1	82	63
2	169	63
3	406	63
4	986	63
5	1308	63
6	2537	63
7	5035	63
8	6878	63
9	7975	63
0	8001	55

Stop Event

1×	iter limit
1×	node limit

Counts

15 → 15

Calls

Call 1

Inputs
6
(+ 6 (* -9 x))
2
(+ 2 (* -3 x))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* 3 x)
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* -3 x)
(* x (- (* 2 (/ 1 x)) 3))
(* -9 (pow x 2))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))

Outputs
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
2
#s(literal 2 binary64)
(+ 2 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))

rewrite249.0ms (3.8%)

Memory

1.2MiB live, 269.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	24
0	11	24
1	35	24
2	210	20
3	1728	20
0	9546	17

Stop Event

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

Counts

4 → 850

Calls

Call 1

Inputs
(.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(*.f64 x #s(literal 3 binary64))

Outputs
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 4 binary64))) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 16 binary64) (pow.f64 (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) #s(literal 2 binary64)))) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 64 binary64) (pow.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) #s(literal 3 binary64)))) (fma.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal -4 binary64)) #s(literal 16 binary64)))
(.f64 (.f64 (+.f64 #s(literal -4 binary64) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (-.f64 #s(literal -8 binary64) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))))
(.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal -4 binary64) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal -8 binary64) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))))
(.f64 (-.f64 #s(literal 36 binary64) (.f64 #s(literal 81 binary64) (.f64 x x))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 6 binary64) (.f64 #s(literal -9 binary64) x))))
(.f64 (+.f64 #s(literal 216 binary64) (.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 36 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) (.f64 #s(literal -6 binary64) (*.f64 #s(literal -9 binary64) x))))))
(.f64 (neg.f64 (.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (neg.f64 (.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))))
(.f64 (.f64 (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 3 binary64)) (pow.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) #s(literal 3 binary64))
(.f64 (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 4 binary64)) (/.f64 #s(literal -3 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64))))
(.f64 (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 4 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (/.f64 #s(literal 3 binary64) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))))
(.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) (.f64 (pow.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64)))
(*.f64 #s(literal 3 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) #s(literal 36 binary64)) (-.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 6 binary64)))
(/.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)) (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 36 binary64) (.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 6 binary64)))))
(/.f64 (neg.f64 (.f64 (+.f64 #s(literal -4 binary64) (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64))) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 (-.f64 #s(literal -8 binary64) (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64))) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal -4 binary64) (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)))
(/.f64 (neg.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal -8 binary64) (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64)))
(/.f64 (neg.f64 (-.f64 #s(literal 36 binary64) (.f64 #s(literal 81 binary64) (.f64 x x)))) (neg.f64 (-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x))))
(/.f64 (neg.f64 (+.f64 #s(literal 216 binary64) (.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (+.f64 #s(literal 36 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) (.f64 #s(literal -6 binary64) (.f64 #s(literal -9 binary64) x))))))
(/.f64 (neg.f64 (neg.f64 (.f64 (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 4 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)))
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 3 binary64)))) (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64)))
(/.f64 (/.f64 (.f64 (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 #s(literal -9 binary64) (*.f64 x x) #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) #s(literal -1 binary64)))
(/.f64 (.f64 (+.f64 #s(literal -4 binary64) (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))) #s(literal 3 binary64)) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)))
(/.f64 (.f64 (-.f64 #s(literal -8 binary64) (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))) #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))))
(/.f64 (.f64 #s(literal 3 binary64) (+.f64 #s(literal -4 binary64) (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)))
(/.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal -8 binary64) (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x #s(literal 4 binary64))))
(/.f64 (-.f64 #s(literal 36 binary64) (.f64 #s(literal 81 binary64) (.f64 x x))) (-.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x)))
(/.f64 (+.f64 #s(literal 216 binary64) (.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 #s(literal 36 binary64) (fma.f64 #s(literal 81 binary64) (.f64 x x) (.f64 #s(literal -6 binary64) (.f64 #s(literal -9 binary64) x)))))
(/.f64 (neg.f64 (.f64 (fma.f64 #s(literal -9 binary64) (.f64 x x) #s(literal 4 binary64)) #s(literal 3 binary64))) (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)))
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(fma.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -3 binary64) x)) (.f64 #s(literal -3 binary64) (.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -3 binary64) x)) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -3 binary64) x)) (.f64 (neg.f64 (.f64 x #s(literal 2 binary64))) #s(literal -3 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -3 binary64) x)) (*.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -3 binary64) x)) (.f64 (neg.f64 (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -3 binary64) x)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -3 binary64) x)))
(fma.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -3 binary64) x)) (*.f64 #s(literal -6 binary64) x))
(fma.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -3 binary64) x)) (*.f64 #s(literal 6 binary64) x))
(fma.f64 #s(literal 3 binary64) (.f64 (neg.f64 x) (.f64 x #s(literal 3 binary64))) (*.f64 #s(literal 6 binary64) x))
(fma.f64 #s(literal 3 binary64) (neg.f64 (.f64 (.f64 x x) #s(literal 3 binary64))) (*.f64 #s(literal 6 binary64) x))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)) (*.f64 (neg.f64 x) #s(literal 6 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 #s(literal -3 binary64) (.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 (neg.f64 (.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 (neg.f64 (.f64 x #s(literal 2 binary64))) #s(literal -3 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal -6 binary64) (neg.f64 x)))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 (neg.f64 (.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)) (.f64 #s(literal -2 binary64) (.f64 #s(literal -3 binary64) x)))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal -6 binary64) x))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal 6 binary64) x))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) x) #s(literal -3 binary64))) x))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))) (*.f64 x #s(literal 3 binary64))))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) x) (neg.f64 x))) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) x) x)) #s(literal -3 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)) (neg.f64 x)))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 3 binary64) (.f64 x (.f64 #s(literal -3 binary64) x))))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 (neg.f64 x) (.f64 #s(literal -3 binary64) (.f64 #s(literal -3 binary64) x))))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -3 binary64) x))))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 #s(literal -9 binary64) (*.f64 x x)))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -3 binary64) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (fma.f64 #s(literal 36 binary64) (.f64 x x) (.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -6 binary64) x))))) (/.f64 (.f64 #s(literal -216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (fma.f64 #s(literal 36 binary64) (.f64 x x) (.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -6 binary64) x))))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -3 binary64) x) #s(literal 6 binary64)) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (.f64 #s(literal 6 binary64) x) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)))) (/.f64 (.f64 #s(literal -216 binary64) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (.f64 (.f64 #s(literal 6 binary64) x) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)))))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -6 binary64) x) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)) (/.f64 (pow.f64 (.f64 #s(literal -3 binary64) x) #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)))
(-.f64 (/.f64 (pow.f64 (.f64 #s(literal -3 binary64) x) #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)) (/.f64 (pow.f64 (.f64 #s(literal -6 binary64) x) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)))
(-.f64 (.f64 #s(literal 6 binary64) x) (.f64 #s(literal -9 binary64) (*.f64 x x)))
(-.f64 (.f64 #s(literal 6 binary64) x) (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(-.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -6 binary64) x))
(-.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 6 binary64) x))
(+.f64 (/.f64 (pow.f64 (.f64 #s(literal -3 binary64) x) #s(literal 4 binary64)) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)) (neg.f64 (/.f64 (pow.f64 (.f64 #s(literal -6 binary64) x) #s(literal 2 binary64)) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x))))
(+.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) (*.f64 #s(literal 6 binary64) x))
(+.f64 (.f64 #s(literal 6 binary64) x) (.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) x) #s(literal -3 binary64))) x))
(+.f64 (.f64 #s(literal 6 binary64) x) (.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) x) #s(literal -1 binary64))) (*.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 #s(literal 6 binary64) x) (.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) x) (neg.f64 x))) #s(literal 3 binary64)))
(+.f64 (.f64 #s(literal 6 binary64) x) (.f64 (neg.f64 (.f64 (.f64 #s(literal -3 binary64) x) x)) #s(literal -3 binary64)))
(+.f64 (.f64 #s(literal 6 binary64) x) (.f64 (neg.f64 (*.f64 #s(literal -9 binary64) x)) (neg.f64 x)))
(+.f64 (.f64 #s(literal 6 binary64) x) (.f64 #s(literal 3 binary64) (.f64 x (.f64 #s(literal -3 binary64) x))))
(+.f64 (.f64 #s(literal 6 binary64) x) (.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) (.f64 x x))))
(+.f64 (.f64 #s(literal 6 binary64) x) (.f64 (neg.f64 x) (.f64 #s(literal -3 binary64) (.f64 #s(literal -3 binary64) x))))
(+.f64 (.f64 #s(literal 6 binary64) x) (.f64 #s(literal -3 binary64) (.f64 (neg.f64 x) (.f64 #s(literal -3 binary64) x))))
(+.f64 (.f64 #s(literal 6 binary64) x) (.f64 #s(literal -9 binary64) (*.f64 x x)))
(+.f64 (.f64 #s(literal 6 binary64) x) (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(+.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 (neg.f64 x) #s(literal 6 binary64)))
(+.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -3 binary64) (*.f64 x #s(literal 2 binary64))))
(+.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 x))) #s(literal 3 binary64)))
(+.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))) #s(literal -3 binary64)))
(+.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -6 binary64) (neg.f64 x)))
(+.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 (neg.f64 (*.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(+.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -2 binary64) (*.f64 #s(literal -3 binary64) x)))
(+.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 #s(literal -6 binary64) x))
(+.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (.f64 #s(literal 6 binary64) x))
(.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 #s(literal 3 binary64))) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 3 binary64))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -3 binary64) x))
(.f64 #s(literal 1 binary64) (.f64 x #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 #s(literal 3 binary64) x)
(pow.f64 (*.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal -9 binary64) (.f64 x x)) (*.f64 #s(literal -3 binary64) x))
(/.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))))
(neg.f64 (*.f64 #s(literal -3 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) x))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 x #s(literal 3 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 3 binary64)))

eval148.0ms (2.3%)

Memory: 2.8MiB live, 198.8MiB allocated
Compiler: Compiled 17 818 to 2 315 computations (87% saved)

prune74.0ms (1.1%)

Memory

-19.5MiB live, 64.1MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	851	9	860
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	852	9	861

Accuracy

100.0%

Counts

861 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
▶	99.6%	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
	99.7%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)))
	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
	99.7%	(.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))
▶	45.7%	(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
▶	45.7%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
▶	57.0%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
	45.7%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))

Compiler

Compiled 184 to 150 computations (18.5% saved)

simplify95.0ms (1.4%)

Memory

-3.5MiB live, 33.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
cost-diff	0	(*.f64 #s(literal -3 binary64) x)
cost-diff	0	#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
cost-diff	0	(.f64 #s(literal 3 binary64) #s(approx (- 2 ( x 3)) (*.f64 #s(literal -3 binary64) x)))
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
cost-diff	0	(*.f64 #s(literal -9 binary64) x)
cost-diff	0	#s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x))
cost-diff	0	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
cost-diff	0	#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
cost-diff	0	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal -9 binary64) (.f64 x x))
cost-diff	320	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	131
0	38	131
1	62	127
2	89	115
3	135	115
4	227	115
5	369	115
6	602	115
7	1022	115
8	1513	115
9	1789	115
10	2189	115
11	2475	115
12	2785	115
13	3018	115
14	3076	115
15	3096	115
16	3112	115
17	3118	115
18	3128	115
0	3128	112

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
x
#s(literal 6 binary64)
(.f64 #s(literal -9 binary64) (.f64 x x))
#s(literal -9 binary64)
(*.f64 x x)
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
#s(literal 6 binary64)
x
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
#s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x))
(*.f64 #s(literal -9 binary64) x)
#s(literal -9 binary64)
x
(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
(.f64 #s(literal 3 binary64) #s(approx (- 2 ( x 3)) (*.f64 #s(literal -3 binary64) x)))
#s(literal 3 binary64)
#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal -3 binary64) x)
#s(literal -3 binary64)
x
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
#s(literal -9 binary64)
#s(literal 6 binary64)

Outputs
(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
x
#s(literal 6 binary64)
(.f64 #s(literal -9 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -9 binary64))
#s(literal -9 binary64)
(*.f64 x x)
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
#s(literal 6 binary64)
x
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
#s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x))
(*.f64 #s(literal -9 binary64) x)
#s(literal -9 binary64)
x
(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
(.f64 #s(approx (- 2 ( x 3)) (.f64 #s(literal -3 binary64) x)) (.f64 #s(literal 3 binary64) x))
(.f64 #s(literal 3 binary64) #s(approx (- 2 ( x 3)) (*.f64 #s(literal -3 binary64) x)))
(.f64 #s(approx (- 2 ( x 3)) (*.f64 #s(literal -3 binary64) x)) #s(literal 3 binary64))
#s(literal 3 binary64)
#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal -3 binary64) x)
#s(literal -3 binary64)
x
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
x
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(/.f64 #s(literal 1/3 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)))
#s(literal 1 binary64)
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
#s(literal -9 binary64)
#s(literal 6 binary64)

localize89.0ms (1.4%)

Memory

-4.5MiB live, 116.3MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
accuracy	0.26171875	(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
accuracy	0.3229893912740562	(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
accuracy	0	(*.f64 #s(literal -3 binary64) x)
accuracy	0.1484375	(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
accuracy	0.16015625	(.f64 #s(literal 3 binary64) #s(approx (- 2 ( x 3)) (*.f64 #s(literal -3 binary64) x)))
accuracy	35.53338111293169	#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
accuracy	0	(*.f64 #s(literal -9 binary64) x)
accuracy	0.1484375	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
accuracy	35.5153631815413	#s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x))
accuracy	0.1484375	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
accuracy	27.560969814523983	#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.046875	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
accuracy	0.14188253162065376	(.f64 #s(literal -9 binary64) (.f64 x x))

Samples

50.0ms	189×	0	valid
10.0ms	32×	2	valid
8.0ms	35×	1	valid

Compiler

Compiled 244 to 48 computations (80.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 52.0ms

ival-sub: 25.0ms (47.6% of total)

ival-mult: 16.0ms (30.5% of total)

ival-div: 4.0ms (7.6% of total)

adjust: 3.0ms (5.7% of total)

ival-add: 3.0ms (5.7% of total)

exact: 1.0ms (1.9% of total)

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

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

series7.0ms (0.1%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

15 → 25

Calls

Call 1

Inputs
(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
(.f64 #s(literal -9 binary64) (.f64 x x))
(*.f64 x x)
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
#s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x))
(*.f64 #s(literal -9 binary64) x)
(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
(.f64 #s(literal 3 binary64) #s(approx (- 2 ( x 3)) (*.f64 #s(literal -3 binary64) x)))
#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal -3 binary64) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))

Outputs
(* 6 x)
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(pow x 2)
6
(+ 6 (* -9 x))
(* -9 x)
2
(+ 2 (* -3 x))
(* -3 x)
1/6
(+ 1/6 (* 1/4 x))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 2 (/ 1 x)) 3))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	((+ (* x 6) (* -9 (* x x))) (* -9 (* x x)) (* x x) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* -9 x) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* -3 x) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (+ (* -9 x) 6))
2.0ms	x	@	inf	((+ (* x 6) (* -9 (* x x))) (* -9 (* x x)) (* x x) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* -9 x) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* -3 x) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (+ (* -9 x) 6))
2.0ms	x	@	-inf	((+ (* x 6) (* -9 (* x x))) (* -9 (* x x)) (* x x) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* -9 x) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* -3 x) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (+ (* -9 x) 6))

Time

Variable

Point

Expression

2.0ms

((+ (* x 6) (* -9 (* x x))) (* -9 (* x x)) (* x x) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* -9 x) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* -3 x) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (+ (* -9 x) 6))

2.0ms

inf

((+ (* x 6) (* -9 (* x x))) (* -9 (* x x)) (* x x) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* -9 x) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* -3 x) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (+ (* -9 x) 6))

2.0ms

-inf

((+ (* x 6) (* -9 (* x x))) (* -9 (* x x)) (* x x) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (* -9 x) (* (* 3 (- 2 (* x 3))) x) (* 3 (- 2 (* x 3))) (- 2 (* x 3)) (* -3 x) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (+ (* -9 x) 6))

simplify117.0ms (1.8%)

Memory

20.0MiB live, 128.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	162
1	219	158
2	484	153
3	1026	153
4	2348	153
5	4249	153
6	6965	153
0	8086	139

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 25

Calls

Call 1

Inputs
(* 6 x)
(* x (+ 6 (* -9 x)))
(* -9 (pow x 2))
(pow x 2)
6
(+ 6 (* -9 x))
(* -9 x)
2
(+ 2 (* -3 x))
(* -3 x)
1/6
(+ 1/6 (* 1/4 x))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 2 (/ 1 x)) 3))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))

Outputs
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(pow x 2)
(*.f64 x x)
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
2
#s(literal 2 binary64)
(+ 2 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/4 x))
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/6 binary64))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/6 binary64))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 9/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/6 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 #s(literal 2/27 binary64) x)) x)
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) x) #s(literal -2/27 binary64)) x)) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2/27 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal -4/81 binary64)) x)) x) #s(literal 1/9 binary64)) x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) x) #s(literal -2/27 binary64)) x)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2/27 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal -4/81 binary64)) x)) x) #s(literal 1/9 binary64)) x)

rewrite313.0ms (4.8%)

Memory

-5.7MiB live, 266.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	117
0	38	117
1	117	113
2	666	101
3	6601	101
0	8021	98

Stop Event

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

Counts

15 → 813

Calls

Call 1

Inputs
(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
(.f64 #s(literal -9 binary64) (.f64 x x))
(*.f64 x x)
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64))
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
#s(approx (* 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x))
(*.f64 #s(literal -9 binary64) x)
(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
(.f64 #s(literal 3 binary64) #s(approx (- 2 ( x 3)) (*.f64 #s(literal -3 binary64) x)))
#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal -3 binary64) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))

Outputs
(.f64 (/.f64 (fma.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 36 binary64) (.f64 x x))) (.f64 (.f64 x x) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)))) (*.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) x))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -216 binary64))) (fma.f64 #s(literal 81 binary64) (.f64 x x) (fma.f64 #s(literal -54 binary64) x #s(literal 36 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64))) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)) x) (-.f64 (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 4 binary64)) (pow.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) (*.f64 x #s(literal 54 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)) x) (fma.f64 #s(literal 531441 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) #s(literal 3 binary64)))) (fma.f64 #s(literal 6561 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (-.f64 (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (.f64 #s(literal 81 binary64) (*.f64 x x))))))
(.f64 (/.f64 (fma.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 36 binary64) (.f64 x x))) (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 6 binary64) x) #s(literal 3 binary64)))) (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) (.f64 #s(literal 36 binary64) (*.f64 x x))))
(.f64 (/.f64 (fma.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 36 binary64) (.f64 x x))) (fma.f64 #s(literal 729 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 #s(literal 6 binary64) x) #s(literal 3 binary64)))) (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 81 binary64) (fma.f64 (.f64 #s(literal 36 binary64) x) x (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64)) #s(literal 6 binary64)))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64) (pow.f64 (.f64 #s(literal 6 binary64) x) #s(literal 3 binary64))) (-.f64 (pow.f64 (.f64 #s(literal 6 binary64) x) #s(literal 4 binary64)) (pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #s(literal 2 binary64)))) (-.f64 (.f64 #s(literal 36 binary64) (.f64 x x)) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))))
(.f64 (/.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64) (pow.f64 (.f64 #s(literal 6 binary64) x) #s(literal 3 binary64))) (fma.f64 #s(literal 46656 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (-.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -9 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (.f64 #s(literal 36 binary64) (.f64 x x))) (pow.f64 (*.f64 #s(literal 6 binary64) x) #s(literal 4 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 36 binary64) (.f64 x x))) (fma.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 36 binary64) (.f64 x x)))) (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64) (pow.f64 (.f64 #s(literal 6 binary64) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #s(literal -1 binary64)) x) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) (.f64 #s(literal 3 binary64) x)) (/.f64 (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) x) (/.f64 (.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) (-.f64 #s(literal 6 binary64) (.f64 #s(literal -9 binary64) x))))
(.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 x (-.f64 (.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)))
(.f64 (/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))) (fma.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 36 binary64) (.f64 x x))))
(.f64 (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64) (pow.f64 (.f64 #s(literal 6 binary64) x) #s(literal 3 binary64))))
(.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))))
(.f64 (neg.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -729 binary64) (pow.f64 (.f64 #s(literal 6 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))))))
(.f64 (.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) x) (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)) x) (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64)) #s(literal -1 binary64)))
(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64)) x))
(.f64 (fma.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 36 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))) #s(literal 1 binary64)))
(.f64 (fma.f64 #s(literal -81 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 #s(literal 36 binary64) (.f64 x x))) (/.f64 #s(literal -1 binary64) (.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))))
(.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)) (.f64 (pow.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64)) #s(literal -1 binary64)) x))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) (/.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) (fma.f64 (.f64 x x) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64)))))
(.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (pow.f64 (.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) (.f64 (.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x) (pow.f64 (fma.f64 (.f64 x x) (fma.f64 x #s(literal 54 binary64) #s(literal 36 binary64)) (pow.f64 (*.f64 #s(literal 3 binary64) x) #s(literal 4 binary64))) #s(literal -1 binary64))))
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(/.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
(/.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64)))))
(/.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)) (.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 x (-.f64 (.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64)))))
(/.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 216 binary64)) (fma.f64 x (-.f64 (*.f64 #s(literal 81 binary64) x) #s(literal -54 binary64)) #s(literal 36 binary64)))
(/.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
(/.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)) (.f64 (fma.f64 (.f64 #s(literal -9 binary64) x) x #s(literal 4 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) #s(literal 4 binary64)) (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64)) #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 6 binary64) (.f64 #s(literal -9 binary64) x)) (-.f64 #s(literal 36 binary64) (.f64 #s(literal 81 binary64) (*.f64 x x)))))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))))
(neg.f64 (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)))
(fma.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -216 binary64))) (fma.f64 #s(literal 81 binary64) (*.f64 x x) (fma.f64 #s(literal -54 binary64) x #s(literal 36 binary64))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(fma.f64 (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(fma.f64 (*.f64 #s(literal 81 binary64) x) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(fma.f64 (*.f64 #s(literal 9 binary64) x) #s(literal -1 binary64) #s(literal 6 binary64))
(fma.f64 #s(literal 9 binary64) (neg.f64 x) #s(literal 6 binary64))
(fma.f64 #s(literal 81 binary64) (/.f64 (*.f64 x x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(fma.f64 (*.f64 #s(literal -3 binary64) x) #s(literal 3 binary64) #s(literal 6 binary64))
(fma.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(fma.f64 (neg.f64 x) #s(literal 9 binary64) #s(literal 6 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 #s(literal 9 binary64) x) #s(literal 6 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -9 binary64) x) #s(literal 6 binary64))
(fma.f64 #s(literal -3 binary64) (*.f64 #s(literal 3 binary64) x) #s(literal 6 binary64))
(fma.f64 (.f64 #s(literal -9 binary64) x) (/.f64 (.f64 #s(literal -9 binary64) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(fma.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 1 binary64) #s(literal 6 binary64))
(fma.f64 (*.f64 #s(literal 3 binary64) x) #s(literal -3 binary64) #s(literal 6 binary64))
(fma.f64 #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) x) #s(literal 6 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 #s(literal 81 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(fma.f64 #s(literal -9 binary64) (/.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(fma.f64 x (/.f64 (*.f64 #s(literal 81 binary64) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(-.f64 (/.f64 #s(literal 36 binary64) (-.f64 #s(literal 6 binary64) (.f64 #s(literal -9 binary64) x))) (/.f64 (.f64 #s(literal 81 binary64) (.f64 x x)) (-.f64 #s(literal 6 binary64) (.f64 #s(literal -9 binary64) x))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 81 binary64) x) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))) #s(literal 1 binary64)))
(-.f64 (.f64 (.f64 #s(literal 81 binary64) x) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))) (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal -6 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
(+.f64 (.f64 (.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)) #s(literal 6 binary64))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) x)) #s(literal 6 binary64))
(+.f64 (.f64 (.f64 #s(literal 81 binary64) x) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))) (neg.f64 (/.f64 #s(literal -36 binary64) (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)))))
(+.f64 (*.f64 #s(literal -9 binary64) x) #s(literal 6 binary64))
(+.f64 #s(literal 6 binary64) (.f64 (.f64 #s(literal 9 binary64) x) #s(literal -1 binary64)))
(+.f64 #s(literal 6 binary64) (.f64 #s(literal 1 binary64) (.f64 #s(literal -9 binary64) x)))
(+.f64 #s(literal 6 binary64) (*.f64 #s(literal -9 binary64) x))

eval133.0ms (2%)

Memory: 0.3MiB live, 132.4MiB allocated
Compiler: Compiled 10 644 to 1 659 computations (84.4% saved)

prune16.0ms (0.2%)

Memory

5.8MiB live, 41.5MiB allocated

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	580	4	584
Fresh	0	4	4
Picked	2	3	5
Done	0	0	0
Total	582	11	593

Accuracy

100.0%

Counts

593 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
	92.5%	(/.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
	56.9%	(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
▶	99.7%	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)))
▶	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
▶	98.8%	(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64)) x))
	99.7%	(.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))
▶	45.6%	(.f64 (.f64 #s(literal 3 binary64) x) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)))
✓	45.7%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
✓	57.0%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
▶	45.7%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))

Compiler

Compiled 214 to 175 computations (18.2% saved)

simplify298.0ms (4.5%)

Memory

-11.7MiB live, 112.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
cost-diff	6080	(*.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64)) x)
cost-diff	-384	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x))
cost-diff	0	(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
cost-diff	1792	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)))
cost-diff	0	(*.f64 #s(literal -3 binary64) x)
cost-diff	0	#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
cost-diff	0	(*.f64 #s(literal 3 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 3 binary64) x) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal -9 binary64))
cost-diff	0	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))
cost-diff	0	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
cost-diff	0	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)

Iterations

Useful iterations: 23 (0.0ms)

Iter	Nodes	Cost
0	33	150
0	52	146
1	91	143
2	167	137
3	310	137
4	634	137
5	834	137
6	1116	137
7	1720	137
8	2394	137
9	3248	137
10	4221	137
11	5314	137
12	5896	137
13	6213	137
14	6362	137
15	6384	137
16	6900	137
17	7322	137
18	7538	137
19	7650	137
20	7697	137
21	7697	137
22	7697	137
23	7954	136
0	8067	136

Stop Event

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

Calls

Call 1

Inputs
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
x
#s(literal -9 binary64)
#s(literal 6 binary64)
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 (.f64 x x) #s(literal -9 binary64))
(*.f64 x x)
x
#s(literal -9 binary64)
(.f64 (.f64 #s(literal 3 binary64) x) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal -3 binary64) x)
#s(literal -3 binary64)
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)))
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x))
#s(literal 1 binary64)
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
#s(literal -3 binary64)
x
#s(literal 2 binary64)
(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64)) x))
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
#s(literal 81 binary64)
(*.f64 x x)
x
#s(literal -36 binary64)
(*.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64)) x)
(pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))
#s(literal -9 binary64)
#s(literal -6 binary64)
#s(literal -1 binary64)

Outputs
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
x
#s(literal -9 binary64)
#s(literal 6 binary64)
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))
(.f64 (.f64 x x) #s(literal -9 binary64))
(.f64 #s(literal -9 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal -9 binary64)
(.f64 (.f64 #s(literal 3 binary64) x) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)))
(.f64 #s(approx (- 2 ( x 3)) (.f64 #s(literal -3 binary64) x)) (.f64 #s(literal 3 binary64) x))
(*.f64 #s(literal 3 binary64) x)
#s(literal 3 binary64)
x
#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal -3 binary64) x)
#s(literal -3 binary64)
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
#s(literal 3 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64)))
#s(literal 1 binary64)
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
#s(literal -3 binary64)
x
#s(literal 2 binary64)
(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64)) x))
(/.f64 (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal 36 binary64)) (-.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -9 binary64)))
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
#s(literal 81 binary64)
(*.f64 x x)
x
#s(literal -36 binary64)
(*.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64)) x)
(/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
(pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))
#s(literal -9 binary64)
#s(literal -6 binary64)
#s(literal -1 binary64)

localize154.0ms (2.3%)

Memory

-8.8MiB live, 112.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.046875	(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
accuracy	0.3151768912740562	(pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64))
accuracy	0.3957887816206538	(*.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64)) x)
accuracy	0.41637413942560025	(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64)) x))
accuracy	0	(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
accuracy	0.05078125	(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
accuracy	0.16796875	(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)))
accuracy	0.4237706801183082	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x))
accuracy	0	(*.f64 #s(literal 3 binary64) x)
accuracy	0	(*.f64 #s(literal -3 binary64) x)
accuracy	0.19597626953688402	(.f64 (.f64 #s(literal 3 binary64) x) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)))
accuracy	35.53338111293169	#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
accuracy	0	(*.f64 x x)
accuracy	0.14188253162065376	(.f64 (.f64 x x) #s(literal -9 binary64))
accuracy	34.68951665777145	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))
accuracy	0	(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
accuracy	0.1484375	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)

Samples

36.0ms	178×	0	valid
25.0ms	42×	1	valid
22.0ms	36×	2	valid

Compiler

Compiled 300 to 71 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-mult: 29.0ms (45.9% of total)

ival-div: 13.0ms (20.6% of total)

ival-pow: 7.0ms (11.1% of total)

ival-add: 6.0ms (9.5% of total)

adjust: 5.0ms (7.9% of total)

ival-sub: 2.0ms (3.2% of total)

exact: 1.0ms (1.6% of total)

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

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

series9.0ms (0.1%)

Memory

14.9MiB live, 14.9MiB allocated

Counts

17 → 54

Calls

Call 1

Inputs
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 (.f64 x x) #s(literal -9 binary64))
(*.f64 x x)
(.f64 (.f64 #s(literal 3 binary64) x) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)))
(*.f64 #s(literal 3 binary64) x)
#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal -3 binary64) x)
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64)) x)
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
(pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64)) x))

Outputs
(* 6 x)
(* x (+ 6 (* -9 x)))
6
(+ 6 (* -9 x))
(* -9 (pow x 2))
(pow x 2)
(* 3 x)
2
(+ 2 (* -3 x))
(* -3 x)
(* 2 x)
(* x (+ 2 (* -3 x)))
(/ 1/2 x)
(/ (+ 1/2 (* 3/4 x)) x)
(/ (+ 1/2 (* x (+ 3/4 (* 9/8 x)))) x)
(/ (+ 1/2 (* x (+ 3/4 (* x (+ 9/8 (* 27/16 x)))))) x)
(* -1/6 x)
(* x (- (* 1/4 x) 1/6))
(* x (- (* x (+ 1/4 (* -3/8 x))) 1/6))
(* x (- (* x (+ 1/4 (* x (- (* 9/16 x) 3/8)))) 1/6))
-36
(- (* 81 (pow x 2)) 36)
-1/6
(- (* 1/4 x) 1/6)
(- (* x (+ 1/4 (* -3/8 x))) 1/6)
(- (* x (+ 1/4 (* x (- (* 9/16 x) 3/8)))) 1/6)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 2 (/ 1 x)) 3))
(* -3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(/ -1/3 (pow x 2))
(* -1 (/ (+ 1/3 (* 2/9 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 2/9 (* 4/27 (/ 1 x))) x)) 1/3) (pow x 2))
(/ (- (* -1 (/ (+ 4/27 (* 8/81 (/ 1 x))) (pow x 2))) (+ 1/3 (* 2/9 (/ 1 x)))) (pow x 2))
-1/9
(- (* 2/27 (/ 1 x)) 1/9)
(- (* 2/27 (/ 1 x)) (+ 1/9 (/ 4/81 (pow x 2))))
(- (+ (* 2/27 (/ 1 x)) (* 8/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 4/81 (pow x 2))))
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(/ -1/9 x)
(/ (- (* 2/27 (/ 1 x)) 1/9) x)
(/ (- (* 2/27 (/ 1 x)) (+ 1/9 (/ 4/81 (pow x 2)))) x)
(/ (- (+ (* 2/27 (/ 1 x)) (* 8/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 4/81 (pow x 2)))) x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(/ (- (* -1 (/ (+ 2/9 (+ (/ 8/81 (pow x 2)) (* 4/27 (/ 1 x)))) x)) 1/3) (pow x 2))
(- (* -1 (/ (- (* 4/81 (/ 1 x)) 2/27) x)) 1/9)
(- (* -1 (/ (- (* -1 (/ (- (* 8/243 (/ 1 x)) 4/81) x)) 2/27) x)) 1/9)
(* -1 (/ (- 1/9 (* 2/27 (/ 1 x))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- 2/27 (* 4/81 (/ 1 x))) x))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (+ 2/27 (* -1 (/ (- 4/81 (* 8/243 (/ 1 x))) x))) x))) x))

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

((* (+ (* x -9) 6) x) (+ (* x -9) 6) (* (* 3 (- 2 (* x 3))) x) (* (* x x) -9) (* x x) (* (* 3 x) (- 2 (* x 3))) (* 3 x) (- 2 (* x 3)) (* -3 x) (/ 3 (/ 1 (* (+ (* -3 x) 2) x))) (* (+ (* -3 x) 2) x) (+ (* -3 x) 2) (/ 1 (* (+ (* -3 x) 2) x)) (* (pow (+ (* -9 x) -6) -1) x) (+ (* 81 (* x x)) -36) (pow (+ (* -9 x) -6) -1) (* (+ (* 81 (* x x)) -36) (* (pow (+ (* -9 x) -6) -1) x)))

3.0ms

-inf

((* (+ (* x -9) 6) x) (+ (* x -9) 6) (* (* 3 (- 2 (* x 3))) x) (* (* x x) -9) (* x x) (* (* 3 x) (- 2 (* x 3))) (* 3 x) (- 2 (* x 3)) (* -3 x) (/ 3 (/ 1 (* (+ (* -3 x) 2) x))) (* (+ (* -3 x) 2) x) (+ (* -3 x) 2) (/ 1 (* (+ (* -3 x) 2) x)) (* (pow (+ (* -9 x) -6) -1) x) (+ (* 81 (* x x)) -36) (pow (+ (* -9 x) -6) -1) (* (+ (* 81 (* x x)) -36) (* (pow (+ (* -9 x) -6) -1) x)))

3.0ms

inf

((* (+ (* x -9) 6) x) (+ (* x -9) 6) (* (* 3 (- 2 (* x 3))) x) (* (* x x) -9) (* x x) (* (* 3 x) (- 2 (* x 3))) (* 3 x) (- 2 (* x 3)) (* -3 x) (/ 3 (/ 1 (* (+ (* -3 x) 2) x))) (* (+ (* -3 x) 2) x) (+ (* -3 x) 2) (/ 1 (* (+ (* -3 x) 2) x)) (* (pow (+ (* -9 x) -6) -1) x) (+ (* 81 (* x x)) -36) (pow (+ (* -9 x) -6) -1) (* (+ (* 81 (* x x)) -36) (* (pow (+ (* -9 x) -6) -1) x)))

simplify189.0ms (2.9%)

Memory

-24.0MiB live, 135.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	420
1	445	404
2	1014	400
3	2216	392
4	5344	388
0	8355	358

Stop Event

1×	iter limit
1×	node limit

Counts

54 → 54

Calls

Call 1

Inputs
(* 6 x)
(* x (+ 6 (* -9 x)))
6
(+ 6 (* -9 x))
(* -9 (pow x 2))
(pow x 2)
(* 3 x)
2
(+ 2 (* -3 x))
(* -3 x)
(* 2 x)
(* x (+ 2 (* -3 x)))
(/ 1/2 x)
(/ (+ 1/2 (* 3/4 x)) x)
(/ (+ 1/2 (* x (+ 3/4 (* 9/8 x)))) x)
(/ (+ 1/2 (* x (+ 3/4 (* x (+ 9/8 (* 27/16 x)))))) x)
(* -1/6 x)
(* x (- (* 1/4 x) 1/6))
(* x (- (* x (+ 1/4 (* -3/8 x))) 1/6))
(* x (- (* x (+ 1/4 (* x (- (* 9/16 x) 3/8)))) 1/6))
-36
(- (* 81 (pow x 2)) 36)
-1/6
(- (* 1/4 x) 1/6)
(- (* x (+ 1/4 (* -3/8 x))) 1/6)
(- (* x (+ 1/4 (* x (- (* 9/16 x) 3/8)))) 1/6)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* -9 x)
(* x (- (* 6 (/ 1 x)) 9))
(* x (- (* 2 (/ 1 x)) 3))
(* -3 (pow x 2))
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(/ -1/3 (pow x 2))
(* -1 (/ (+ 1/3 (* 2/9 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 2/9 (* 4/27 (/ 1 x))) x)) 1/3) (pow x 2))
(/ (- (* -1 (/ (+ 4/27 (* 8/81 (/ 1 x))) (pow x 2))) (+ 1/3 (* 2/9 (/ 1 x)))) (pow x 2))
-1/9
(- (* 2/27 (/ 1 x)) 1/9)
(- (* 2/27 (/ 1 x)) (+ 1/9 (/ 4/81 (pow x 2))))
(- (+ (* 2/27 (/ 1 x)) (* 8/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 4/81 (pow x 2))))
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(/ -1/9 x)
(/ (- (* 2/27 (/ 1 x)) 1/9) x)
(/ (- (* 2/27 (/ 1 x)) (+ 1/9 (/ 4/81 (pow x 2)))) x)
(/ (- (+ (* 2/27 (/ 1 x)) (* 8/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 4/81 (pow x 2)))) x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(/ (- (* -1 (/ (+ 2/9 (+ (/ 8/81 (pow x 2)) (* 4/27 (/ 1 x)))) x)) 1/3) (pow x 2))
(- (* -1 (/ (- (* 4/81 (/ 1 x)) 2/27) x)) 1/9)
(- (* -1 (/ (- (* -1 (/ (- (* 8/243 (/ 1 x)) 4/81) x)) 2/27) x)) 1/9)
(* -1 (/ (- 1/9 (* 2/27 (/ 1 x))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- 2/27 (* 4/81 (/ 1 x))) x))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (+ 2/27 (* -1 (/ (- 4/81 (* 8/243 (/ 1 x))) x))) x))) x))

Outputs
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
6
#s(literal 6 binary64)
(+ 6 (* -9 x))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(pow x 2)
(*.f64 x x)
(* 3 x)
(*.f64 #s(literal 3 binary64) x)
2
#s(literal 2 binary64)
(+ 2 (* -3 x))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -3 x)
(*.f64 #s(literal -3 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -3 x)))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 3/4 x)) x)
(/.f64 (fma.f64 #s(literal 3/4 binary64) x #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* x (+ 3/4 (* 9/8 x)))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 9/8 binary64) x #s(literal 3/4 binary64)) x #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* x (+ 3/4 (* x (+ 9/8 (* 27/16 x)))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 27/16 binary64) x #s(literal 9/8 binary64)) x #s(literal 3/4 binary64)) x #s(literal 1/2 binary64)) x)
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* x (- (* 1/4 x) 1/6))
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/6 binary64)) x)
(* x (- (* x (+ 1/4 (* -3/8 x))) 1/6))
(*.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/4 binary64)) x #s(literal -1/6 binary64)) x)
(* x (- (* x (+ 1/4 (* x (- (* 9/16 x) 3/8)))) 1/6))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 9/16 binary64) x #s(literal -3/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal -1/6 binary64)) x)
-36
#s(literal -36 binary64)
(- (* 81 (pow x 2)) 36)
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 1/4 x) 1/6)
(fma.f64 #s(literal 1/4 binary64) x #s(literal -1/6 binary64))
(- (* x (+ 1/4 (* -3/8 x))) 1/6)
(fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/4 binary64)) x #s(literal -1/6 binary64))
(- (* x (+ 1/4 (* x (- (* 9/16 x) 3/8)))) 1/6)
(fma.f64 (fma.f64 (fma.f64 #s(literal 9/16 binary64) x #s(literal -3/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal -1/6 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* -9 x)
(*.f64 #s(literal -9 binary64) x)
(* x (- (* 6 (/ 1 x)) 9))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* x (- (* 2 (/ 1 x)) 3))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(* -3 (pow x 2))
(.f64 (.f64 #s(literal -3 binary64) x) x)
(* (pow x 2) (- (* 2 (/ 1 x)) 3))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(/ -1/3 (pow x 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1 (/ (+ 1/3 (* 2/9 (/ 1 x))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2/9 binary64) x)) x) x)
(/ (- (* -1 (/ (+ 2/9 (* 4/27 (/ 1 x))) x)) 1/3) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/27 binary64) x) #s(literal 2/9 binary64)) x)) x) x)
(/ (- (* -1 (/ (+ 4/27 (* 8/81 (/ 1 x))) (pow x 2))) (+ 1/3 (* 2/9 (/ 1 x)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -4/27 binary64) (/.f64 #s(literal 8/81 binary64) x)) x) #s(literal 2/9 binary64)) x) #s(literal 1/3 binary64)) (*.f64 x x))
-1/9
#s(literal -1/9 binary64)
(- (* 2/27 (/ 1 x)) 1/9)
(-.f64 (/.f64 #s(literal 2/27 binary64) x) #s(literal 1/9 binary64))
(- (* 2/27 (/ 1 x)) (+ 1/9 (/ 4/81 (pow x 2))))
(-.f64 (/.f64 (-.f64 #s(literal 2/27 binary64) (/.f64 #s(literal 4/81 binary64) x)) x) #s(literal 1/9 binary64))
(- (+ (* 2/27 (/ 1 x)) (* 8/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 4/81 (pow x 2))))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal 4/81 binary64)) x) #s(literal -2/27 binary64)) x) #s(literal 1/9 binary64))
(* 81 (pow x 2))
(.f64 #s(literal 81 binary64) (.f64 x x))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(/ (- (* 2/27 (/ 1 x)) 1/9) x)
(/.f64 (-.f64 (/.f64 #s(literal 2/27 binary64) x) #s(literal 1/9 binary64)) x)
(/ (- (* 2/27 (/ 1 x)) (+ 1/9 (/ 4/81 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2/27 binary64) (/.f64 #s(literal 4/81 binary64) x)) x) #s(literal 1/9 binary64)) x)
(/ (- (+ (* 2/27 (/ 1 x)) (* 8/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 4/81 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal 4/81 binary64)) x) #s(literal -2/27 binary64)) x) #s(literal 1/9 binary64)) x)
(* -1 (* x (- 9 (* 6 (/ 1 x)))))
(fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))
(* -1 (* x (- 3 (* 2 (/ 1 x)))))
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(/ (- (* -1 (/ (+ 2/9 (+ (/ 8/81 (pow x 2)) (* 4/27 (/ 1 x)))) x)) 1/3) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -4/27 binary64) (/.f64 #s(literal 8/81 binary64) x)) x) #s(literal 2/9 binary64)) x) #s(literal 1/3 binary64)) (*.f64 x x))
(- (* -1 (/ (- (* 4/81 (/ 1 x)) 2/27) x)) 1/9)
(-.f64 (/.f64 (-.f64 #s(literal 2/27 binary64) (/.f64 #s(literal 4/81 binary64) x)) x) #s(literal 1/9 binary64))
(- (* -1 (/ (- (* -1 (/ (- (* 8/243 (/ 1 x)) 4/81) x)) 2/27) x)) 1/9)
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal 4/81 binary64)) x) #s(literal -2/27 binary64)) x) #s(literal 1/9 binary64))
(* -1 (/ (- 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (-.f64 (/.f64 #s(literal 2/27 binary64) x) #s(literal 1/9 binary64)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- 2/27 (* 4/81 (/ 1 x))) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2/27 binary64) (/.f64 #s(literal 4/81 binary64) x)) x) #s(literal 1/9 binary64)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (+ 2/27 (* -1 (/ (- 4/81 (* 8/243 (/ 1 x))) x))) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal 4/81 binary64)) x) #s(literal -2/27 binary64)) x) #s(literal 1/9 binary64)) x)

rewrite214.0ms (3.3%)

Memory

34.7MiB live, 305.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	33	124
0	52	111
1	183	106
2	1052	104
0	8983	104

Stop Event

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

Counts

17 → 1 539

Calls

Call 1

Inputs
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64))
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 (.f64 x x) #s(literal -9 binary64))
(*.f64 x x)
(.f64 (.f64 #s(literal 3 binary64) x) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)))
(*.f64 #s(literal 3 binary64) x)
#s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))
(*.f64 #s(literal -3 binary64) x)
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)))
(*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)
(fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64)) x)
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
(pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64))
(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64)) x))

Outputs
(.f64 (.f64 #s(literal -3 binary64) (fma.f64 #s(literal 3 binary64) x #s(literal -2 binary64))) x)
(.f64 (.f64 #s(literal -3 binary64) (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64))) (neg.f64 x))
(.f64 (.f64 (.f64 #s(literal 3 binary64) x) (-.f64 #s(literal 4 binary64) (.f64 #s(literal 9 binary64) (*.f64 x x)))) (pow.f64 (fma.f64 #s(literal 3 binary64) x #s(literal 2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 9 binary64) (.f64 x x) #s(literal -4 binary64))) (pow.f64 (fma.f64 #s(literal -3 binary64) x #s(literal -2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 #s(literal 3 binary64) x) (fma.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 8 binary64))) (pow.f64 (fma.f64 x (fma.f64 #s(literal 9 binary64) x #s(literal 6 binary64)) #s(literal 4 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x) (pow.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)))
(.f64 (.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x) (pow.f64 (fma.f64 #s(literal -729 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -216 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal 81 binary64) (.f64 x x) (-.f64 #s(literal 36 binary64) (.f64 #s(literal 54 binary64) x))))
(.f64 (.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x) (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1/2 binary64))) (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x) #s(literal 1 binary64)) (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) (.f64 x (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1/2 binary64)))) (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1/2 binary64)))
(.f64 (.f64 x (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1/2 binary64)))) (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)) #s(literal -1/2 binary64)))
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(fma.f64 #s(literal -3 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)) (*.f64 #s(literal 6 binary64) x))
(fma.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 #s(literal -9 binary64) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))) (.f64 #s(literal -36 binary64) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))))
(fma.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 #s(literal -9 binary64) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))) (.f64 (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #s(literal -36 binary64)))
(fma.f64 (.f64 x x) (.f64 #s(literal 81 binary64) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))) (*.f64 #s(literal -36 binary64) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))))
(fma.f64 (.f64 x x) (.f64 #s(literal 81 binary64) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))) (*.f64 (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #s(literal -36 binary64)))
(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)))
(fma.f64 (.f64 x x) #s(literal -9 binary64) (.f64 #s(literal 6 binary64) x))
(fma.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal -3 binary64) x) (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal -3 binary64) x) (.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) x)))
(fma.f64 (.f64 #s(literal 3 binary64) x) (.f64 #s(literal -3 binary64) x) (*.f64 #s(literal 6 binary64) x))
(fma.f64 (.f64 #s(literal 3 binary64) x) #s(literal 2 binary64) (.f64 (*.f64 x x) #s(literal -9 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) x) (.f64 (*.f64 x x) #s(literal -9 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal -3 binary64) x) x) (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal -3 binary64) x) x) (.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal 3 binary64) (.f64 (.f64 #s(literal -3 binary64) x) x) (*.f64 #s(literal 6 binary64) x))
(fma.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) x) (.f64 (*.f64 x x) #s(literal -9 binary64)))
(fma.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)) (.f64 (*.f64 x x) #s(literal -9 binary64)))
(fma.f64 #s(literal 6 binary64) x (.f64 (.f64 x x) #s(literal -9 binary64)))
(fma.f64 #s(literal -9 binary64) (.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))) (.f64 #s(literal -36 binary64) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))))
(fma.f64 #s(literal -9 binary64) (.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))) (.f64 (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #s(literal -36 binary64)))
(fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)))
(fma.f64 #s(literal -9 binary64) (.f64 x x) (.f64 #s(literal 6 binary64) x))
(fma.f64 x (.f64 (.f64 #s(literal 81 binary64) x) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))) (*.f64 #s(literal -36 binary64) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))))
(fma.f64 x (.f64 (.f64 #s(literal 81 binary64) x) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))) (*.f64 (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #s(literal -36 binary64)))
(fma.f64 x (.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 81 binary64) (.f64 x x))) (.f64 #s(literal -36 binary64) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))))
(fma.f64 x (.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 81 binary64) (.f64 x x))) (.f64 (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #s(literal -36 binary64)))
(fma.f64 x (.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64)) #s(literal -36 binary64)) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 81 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))))
(fma.f64 x (.f64 #s(literal -9 binary64) x) (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(fma.f64 x (.f64 #s(literal -9 binary64) x) (.f64 #s(literal 3 binary64) (*.f64 #s(literal 2 binary64) x)))
(fma.f64 x (.f64 #s(literal -9 binary64) x) (.f64 #s(literal 6 binary64) x))
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) (neg.f64 x)))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 1/3 binary64) (.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (.f64 (.f64 x x) #s(literal -9 binary64)))
(+.f64 (.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) x)) (.f64 (.f64 x x) #s(literal -9 binary64)))
(+.f64 (.f64 #s(literal -36 binary64) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 81 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 81 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (.f64 #s(literal -36 binary64) (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))))
(+.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 81 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) (.f64 (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #s(literal -36 binary64)))
(+.f64 (.f64 (/.f64 x (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))) #s(literal -36 binary64)) (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 81 binary64)) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64))))
(+.f64 (.f64 #s(literal 6 binary64) x) (.f64 (*.f64 x x) #s(literal -9 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) x)))
(+.f64 (.f64 (.f64 x x) #s(literal -9 binary64)) (*.f64 #s(literal 6 binary64) x))

eval434.0ms (6.6%)

Memory: -26.0MiB live, 214.7MiB allocated
Compiler: Compiled 21 087 to 3 038 computations (85.6% saved)

prune27.0ms (0.4%)

Memory

11.4MiB live, 49.1MiB allocated

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	988	3	991
Fresh	2	1	3
Picked	2	3	5
Done	0	3	3
Total	992	10	1 002

Accuracy

100.0%

Counts

1 002 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
▶	56.9%	(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
▶	57.0%	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)))
✓	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
▶	66.3%	(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) (.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) x))
✓	45.6%	(.f64 (.f64 #s(literal 3 binary64) x) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)))
✓	45.7%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
✓	57.0%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
▶	45.7%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64)))
✓	45.7%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))

Compiler

Compiled 127 to 103 computations (18.9% saved)

simplify194.0ms (2.9%)

Memory

20.7MiB live, 57.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))
cost-diff	0	(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
cost-diff	0	(/.f64 #s(literal 1/2 binary64) x)
cost-diff	0	#s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x))
cost-diff	0	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)))
cost-diff	0	(.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) (.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 3 binary64))
cost-diff	0	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64)))
cost-diff	320	(.f64 (.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	142
0	50	138
1	84	138
2	144	136
3	269	136
4	422	136
5	512	136
6	656	136
7	911	136
8	1123	136
9	1250	136
10	1720	136
11	2499	136
12	3300	136
13	3432	136
14	3522	136
15	3610	136
16	3767	136
17	4047	136
18	4361	136
19	5643	136
20	5643	136
21	5649	136
22	5649	136
23	5649	136
24	5653	136
0	5653	128

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64)))
(.f64 (.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64))
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal -3 binary64)
(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) (.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) x))
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
#s(literal 81 binary64)
(*.f64 x x)
x
#s(literal -36 binary64)
(.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) x)
#s(approx (pow (+ (* -9 x) -6) -1) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(literal 3 binary64)
#s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
x
#s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)

Outputs
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64)))
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))
(.f64 (.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64))
(.f64 #s(literal -9 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
x
#s(literal 3 binary64)
#s(literal -3 binary64)
(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) (.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) x))
(.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x) #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)))
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
#s(literal 81 binary64)
(*.f64 x x)
x
#s(literal -36 binary64)
(.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) x)
#s(approx (pow (+ (* -9 x) -6) -1) #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(literal 3 binary64)
#s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
x
#s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))
#s(literal 1/6 binary64)

localize179.0ms (2.7%)

Memory

-40.7MiB live, 206.8MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.26171875	(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
accuracy	27.403041946813577	#s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))
accuracy	0	(/.f64 #s(literal 1/2 binary64) x)
accuracy	0.16796875	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)))
accuracy	26.810657289518385	#s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x))
accuracy	0.046875	(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
accuracy	0.3957887816206538	(.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) x)
accuracy	0.41637413942560025	(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) (.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) x))
accuracy	27.57027697785506	#s(approx (pow (+ (* -9 x) -6) -1) #s(literal -1/6 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.1484375	(.f64 (.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64))
accuracy	0.16015625	(.f64 (.f64 x x) #s(literal 3 binary64))
accuracy	34.68951665777145	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64)))

Samples

121.0ms	213×	0	valid
11.0ms	19×	2	valid
10.0ms	24×	1	valid

Compiler

Compiled 262 to 81 computations (69.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 127.0ms

ival-mult: 91.0ms (71.7% of total)

ival-div: 9.0ms (7.1% of total)

ival-add: 8.0ms (6.3% of total)

ival-pow: 7.0ms (5.5% of total)

const: 6.0ms (4.7% of total)

adjust: 3.0ms (2.4% of total)

ival-sub: 2.0ms (1.6% of total)

exact: 1.0ms (0.8% of total)

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

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

series6.0ms (0.1%)

Memory

18.4MiB live, 18.4MiB allocated

Counts

13 → 49

Calls

Call 1

Inputs
(.f64 (.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64))
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64)))
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) (.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) x))
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
(.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) x)
(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
#s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))
#s(approx (pow (+ (* -9 x) -6) -1) #s(literal -1/6 binary64))

Outputs
(* -9 (pow x 2))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* 3 (pow x 2))
(pow x 2)
-36
(- (* 81 (pow x 2)) 36)
(* -1/6 x)
(* x (- (* 1/4 x) 1/6))
(* x (- (* x (+ 1/4 (* -3/8 x))) 1/6))
(* x (- (* x (+ 1/4 (* x (- (* 9/16 x) 3/8)))) 1/6))
(/ 1/2 x)
(/ (+ 1/2 (* 3/4 x)) x)
(/ (+ 1/2 (* x (+ 3/4 (* 9/8 x)))) x)
(/ (+ 1/2 (* x (+ 3/4 (* x (+ 9/8 (* 27/16 x)))))) x)
1/6
(+ 1/6 (* 1/4 x))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
-1/6
(- (* 1/4 x) 1/6)
(- (* x (+ 1/4 (* -3/8 x))) 1/6)
(- (* x (+ 1/4 (* x (- (* 9/16 x) 3/8)))) 1/6)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
-1/9
(- (* 2/27 (/ 1 x)) 1/9)
(- (* 2/27 (/ 1 x)) (+ 1/9 (/ 4/81 (pow x 2))))
(- (+ (* 2/27 (/ 1 x)) (* 8/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 4/81 (pow x 2))))
(/ -1/3 (pow x 2))
(* -1 (/ (+ 1/3 (* 2/9 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 2/9 (* 4/27 (/ 1 x))) x)) 1/3) (pow x 2))
(/ (- (* -1 (/ (+ 4/27 (* 8/81 (/ 1 x))) (pow x 2))) (+ 1/3 (* 2/9 (/ 1 x)))) (pow x 2))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(/ (- (* 2/27 (/ 1 x)) 1/9) x)
(/ (- (* 2/27 (/ 1 x)) (+ 1/9 (/ 4/81 (pow x 2)))) x)
(/ (- (+ (* 2/27 (/ 1 x)) (* 8/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 4/81 (pow x 2)))) x)
(- (* -1 (/ (- (* 4/81 (/ 1 x)) 2/27) x)) 1/9)
(- (* -1 (/ (- (* -1 (/ (- (* 8/243 (/ 1 x)) 4/81) x)) 2/27) x)) 1/9)
(/ (- (* -1 (/ (+ 2/9 (+ (/ 8/81 (pow x 2)) (* 4/27 (/ 1 x)))) x)) 1/3) (pow x 2))
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
(* -1 (/ (- 1/9 (* 2/27 (/ 1 x))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- 2/27 (* 4/81 (/ 1 x))) x))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (+ 2/27 (* -1 (/ (- 4/81 (* 8/243 (/ 1 x))) x))) x))) x))

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

((* (* (* x x) 3) -3) (* (* 3 (- 2 (* x 3))) x) (* (* x x) 3) (* x x) (* (+ (* 81 (* x x)) -36) (* (pow (+ (* -9 x) -6) -1) x)) (+ (* 81 (* x x)) -36) (* (pow (+ (* -9 x) -6) -1) x) (/ 3 (/ 1 (* (+ (* -3 x) 2) x))) (/ 1 (* (+ (* -3 x) 2) x)) (/ 1/2 x) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (pow (+ (* -9 x) -6) -1))

2.0ms

-inf

((* (* (* x x) 3) -3) (* (* 3 (- 2 (* x 3))) x) (* (* x x) 3) (* x x) (* (+ (* 81 (* x x)) -36) (* (pow (+ (* -9 x) -6) -1) x)) (+ (* 81 (* x x)) -36) (* (pow (+ (* -9 x) -6) -1) x) (/ 3 (/ 1 (* (+ (* -3 x) 2) x))) (/ 1 (* (+ (* -3 x) 2) x)) (/ 1/2 x) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (pow (+ (* -9 x) -6) -1))

2.0ms

((* (* (* x x) 3) -3) (* (* 3 (- 2 (* x 3))) x) (* (* x x) 3) (* x x) (* (+ (* 81 (* x x)) -36) (* (pow (+ (* -9 x) -6) -1) x)) (+ (* 81 (* x x)) -36) (* (pow (+ (* -9 x) -6) -1) x) (/ 3 (/ 1 (* (+ (* -3 x) 2) x))) (/ 1 (* (+ (* -3 x) 2) x)) (/ 1/2 x) (/ x (/ 1 (+ (* -9 x) 6))) (/ 1 (+ (* -9 x) 6)) (pow (+ (* -9 x) -6) -1))

simplify162.0ms (2.5%)

Memory

19.2MiB live, 96.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	184	458
1	496	433
2	1129	429
3	2299	421
4	5383	417
0	8107	389

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 49

Calls

Call 1

Inputs
(* -9 (pow x 2))
(* 6 x)
(* x (+ 6 (* -9 x)))
(* 3 (pow x 2))
(pow x 2)
-36
(- (* 81 (pow x 2)) 36)
(* -1/6 x)
(* x (- (* 1/4 x) 1/6))
(* x (- (* x (+ 1/4 (* -3/8 x))) 1/6))
(* x (- (* x (+ 1/4 (* x (- (* 9/16 x) 3/8)))) 1/6))
(/ 1/2 x)
(/ (+ 1/2 (* 3/4 x)) x)
(/ (+ 1/2 (* x (+ 3/4 (* 9/8 x)))) x)
(/ (+ 1/2 (* x (+ 3/4 (* x (+ 9/8 (* 27/16 x)))))) x)
1/6
(+ 1/6 (* 1/4 x))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
-1/6
(- (* 1/4 x) 1/6)
(- (* x (+ 1/4 (* -3/8 x))) 1/6)
(- (* x (+ 1/4 (* x (- (* 9/16 x) 3/8)))) 1/6)
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(* 81 (pow x 2))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
-1/9
(- (* 2/27 (/ 1 x)) 1/9)
(- (* 2/27 (/ 1 x)) (+ 1/9 (/ 4/81 (pow x 2))))
(- (+ (* 2/27 (/ 1 x)) (* 8/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 4/81 (pow x 2))))
(/ -1/3 (pow x 2))
(* -1 (/ (+ 1/3 (* 2/9 (/ 1 x))) (pow x 2)))
(/ (- (* -1 (/ (+ 2/9 (* 4/27 (/ 1 x))) x)) 1/3) (pow x 2))
(/ (- (* -1 (/ (+ 4/27 (* 8/81 (/ 1 x))) (pow x 2))) (+ 1/3 (* 2/9 (/ 1 x)))) (pow x 2))
(/ -1/9 x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(/ (- (* 2/27 (/ 1 x)) 1/9) x)
(/ (- (* 2/27 (/ 1 x)) (+ 1/9 (/ 4/81 (pow x 2)))) x)
(/ (- (+ (* 2/27 (/ 1 x)) (* 8/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 4/81 (pow x 2)))) x)
(- (* -1 (/ (- (* 4/81 (/ 1 x)) 2/27) x)) 1/9)
(- (* -1 (/ (- (* -1 (/ (- (* 8/243 (/ 1 x)) 4/81) x)) 2/27) x)) 1/9)
(/ (- (* -1 (/ (+ 2/9 (+ (/ 8/81 (pow x 2)) (* 4/27 (/ 1 x)))) x)) 1/3) (pow x 2))
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
(* -1 (/ (- 1/9 (* 2/27 (/ 1 x))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (- 2/27 (* 4/81 (/ 1 x))) x))) x))
(* -1 (/ (+ 1/9 (* -1 (/ (+ 2/27 (* -1 (/ (- 4/81 (* 8/243 (/ 1 x))) x))) x))) x))

Outputs
(* -9 (pow x 2))
(.f64 (.f64 x x) #s(literal -9 binary64))
(* 6 x)
(*.f64 #s(literal 6 binary64) x)
(* x (+ 6 (* -9 x)))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* 3 (pow x 2))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(pow x 2)
(*.f64 x x)
-36
#s(literal -36 binary64)
(- (* 81 (pow x 2)) 36)
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
(* -1/6 x)
(*.f64 #s(literal -1/6 binary64) x)
(* x (- (* 1/4 x) 1/6))
(*.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal -1/6 binary64)) x)
(* x (- (* x (+ 1/4 (* -3/8 x))) 1/6))
(*.f64 (fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/4 binary64)) x #s(literal -1/6 binary64)) x)
(* x (- (* x (+ 1/4 (* x (- (* 9/16 x) 3/8)))) 1/6))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 9/16 binary64) x #s(literal -3/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal -1/6 binary64)) x)
(/ 1/2 x)
(/.f64 #s(literal 1/2 binary64) x)
(/ (+ 1/2 (* 3/4 x)) x)
(/.f64 (fma.f64 #s(literal 3/4 binary64) x #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* x (+ 3/4 (* 9/8 x)))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 9/8 binary64) x #s(literal 3/4 binary64)) x #s(literal 1/2 binary64)) x)
(/ (+ 1/2 (* x (+ 3/4 (* x (+ 9/8 (* 27/16 x)))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 27/16 binary64) x #s(literal 9/8 binary64)) x #s(literal 3/4 binary64)) x #s(literal 1/2 binary64)) x)
1/6
#s(literal 1/6 binary64)
(+ 1/6 (* 1/4 x))
(fma.f64 #s(literal 1/4 binary64) x #s(literal 1/6 binary64))
(+ 1/6 (* x (+ 1/4 (* 3/8 x))))
(fma.f64 (fma.f64 #s(literal 3/8 binary64) x #s(literal 1/4 binary64)) x #s(literal 1/6 binary64))
(+ 1/6 (* x (+ 1/4 (* x (+ 3/8 (* 9/16 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 9/16 binary64) x #s(literal 3/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal 1/6 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 1/4 x) 1/6)
(fma.f64 #s(literal 1/4 binary64) x #s(literal -1/6 binary64))
(- (* x (+ 1/4 (* -3/8 x))) 1/6)
(fma.f64 (fma.f64 #s(literal -3/8 binary64) x #s(literal 1/4 binary64)) x #s(literal -1/6 binary64))
(- (* x (+ 1/4 (* x (- (* 9/16 x) 3/8)))) 1/6)
(fma.f64 (fma.f64 (fma.f64 #s(literal 9/16 binary64) x #s(literal -3/8 binary64)) x #s(literal 1/4 binary64)) x #s(literal -1/6 binary64))
(* (pow x 2) (- (* 6 (/ 1 x)) 9))
(*.f64 (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64)) x)
(* 81 (pow x 2))
(.f64 #s(literal 81 binary64) (.f64 x x))
(* (pow x 2) (- 81 (* 36 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
-1/9
#s(literal -1/9 binary64)
(- (* 2/27 (/ 1 x)) 1/9)
(-.f64 (/.f64 #s(literal 2/27 binary64) x) #s(literal 1/9 binary64))
(- (* 2/27 (/ 1 x)) (+ 1/9 (/ 4/81 (pow x 2))))
(-.f64 (/.f64 (-.f64 #s(literal 2/27 binary64) (/.f64 #s(literal 4/81 binary64) x)) x) #s(literal 1/9 binary64))
(- (+ (* 2/27 (/ 1 x)) (* 8/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 4/81 (pow x 2))))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal 4/81 binary64)) x) #s(literal -2/27 binary64)) x) #s(literal 1/9 binary64))
(/ -1/3 (pow x 2))
(/.f64 #s(literal -1/3 binary64) (*.f64 x x))
(* -1 (/ (+ 1/3 (* 2/9 (/ 1 x))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 #s(literal 2/9 binary64) x)) x) x)
(/ (- (* -1 (/ (+ 2/9 (* 4/27 (/ 1 x))) x)) 1/3) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal -1/3 binary64) (/.f64 (+.f64 (/.f64 #s(literal 4/27 binary64) x) #s(literal 2/9 binary64)) x)) x) x)
(/ (- (* -1 (/ (+ 4/27 (* 8/81 (/ 1 x))) (pow x 2))) (+ 1/3 (* 2/9 (/ 1 x)))) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -4/27 binary64) (/.f64 #s(literal 8/81 binary64) x)) x) #s(literal 2/9 binary64)) x) #s(literal 1/3 binary64)) (*.f64 x x))
(/ -1/9 x)
(/.f64 #s(literal -1/9 binary64) x)
(* -1 (/ (+ 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (-.f64 (/.f64 #s(literal -2/27 binary64) x) #s(literal 1/9 binary64)) x)
(/ (- (* -1 (/ (+ 2/27 (* 4/81 (/ 1 x))) x)) 1/9) x)
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) x) #s(literal -2/27 binary64)) x)) x)
(/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) (pow x 2))) (+ 1/9 (* 2/27 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2/27 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal -4/81 binary64)) x)) x) #s(literal 1/9 binary64)) x)
(/ (- (* 2/27 (/ 1 x)) 1/9) x)
(/.f64 (-.f64 (/.f64 #s(literal 2/27 binary64) x) #s(literal 1/9 binary64)) x)
(/ (- (* 2/27 (/ 1 x)) (+ 1/9 (/ 4/81 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2/27 binary64) (/.f64 #s(literal 4/81 binary64) x)) x) #s(literal 1/9 binary64)) x)
(/ (- (+ (* 2/27 (/ 1 x)) (* 8/243 (/ 1 (pow x 3)))) (+ 1/9 (/ 4/81 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal 4/81 binary64)) x) #s(literal -2/27 binary64)) x) #s(literal 1/9 binary64)) x)
(- (* -1 (/ (- (* 4/81 (/ 1 x)) 2/27) x)) 1/9)
(-.f64 (/.f64 (-.f64 #s(literal 2/27 binary64) (/.f64 #s(literal 4/81 binary64) x)) x) #s(literal 1/9 binary64))
(- (* -1 (/ (- (* -1 (/ (- (* 8/243 (/ 1 x)) 4/81) x)) 2/27) x)) 1/9)
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal 4/81 binary64)) x) #s(literal -2/27 binary64)) x) #s(literal 1/9 binary64))
(/ (- (* -1 (/ (+ 2/9 (+ (/ 8/81 (pow x 2)) (* 4/27 (/ 1 x)))) x)) 1/3) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -4/27 binary64) (/.f64 #s(literal 8/81 binary64) x)) x) #s(literal 2/9 binary64)) x) #s(literal 1/3 binary64)) (*.f64 x x))
(* -1 (/ (+ 1/9 (+ (/ 4/81 (pow x 2)) (* 2/27 (/ 1 x)))) x))
(/.f64 (-.f64 #s(literal -1/9 binary64) (/.f64 (-.f64 (/.f64 #s(literal 4/81 binary64) x) #s(literal -2/27 binary64)) x)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- (* -1 (/ (+ 4/81 (* 8/243 (/ 1 x))) x)) 2/27) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -2/27 binary64) (/.f64 (-.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal -4/81 binary64)) x)) x) #s(literal 1/9 binary64)) x)
(* -1 (/ (- 1/9 (* 2/27 (/ 1 x))) x))
(/.f64 (-.f64 (/.f64 #s(literal 2/27 binary64) x) #s(literal 1/9 binary64)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (- 2/27 (* 4/81 (/ 1 x))) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 2/27 binary64) (/.f64 #s(literal 4/81 binary64) x)) x) #s(literal 1/9 binary64)) x)
(* -1 (/ (+ 1/9 (* -1 (/ (+ 2/27 (* -1 (/ (- 4/81 (* 8/243 (/ 1 x))) x))) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 8/243 binary64) x) #s(literal 4/81 binary64)) x) #s(literal -2/27 binary64)) x) #s(literal 1/9 binary64)) x)

rewrite223.0ms (3.4%)

Memory

-31.2MiB live, 167.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	127
0	50	123
1	186	123
2	1090	121
0	8643	113

Stop Event

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

Counts

13 → 241

Calls

Call 1

Inputs
(.f64 (.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64))
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64)))
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) (.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) x))
(fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64))
(.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) x)
(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)))
#s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
#s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))
#s(approx (pow (+ (* -9 x) -6) -1) #s(literal -1/6 binary64))

Outputs
(.f64 (neg.f64 (.f64 (*.f64 #s(literal -3 binary64) x) x)) #s(literal -3 binary64))
(.f64 (neg.f64 (.f64 x x)) #s(literal 9 binary64))
(.f64 (.f64 (*.f64 #s(literal -3 binary64) x) x) #s(literal 3 binary64))
(.f64 (.f64 #s(literal 9 binary64) x) (neg.f64 x))
(.f64 #s(literal 9 binary64) (neg.f64 (.f64 x x)))
(.f64 (neg.f64 x) (.f64 #s(literal 9 binary64) x))
(.f64 (.f64 #s(literal -3 binary64) x) (*.f64 #s(literal 3 binary64) x))
(.f64 #s(literal -1 binary64) (.f64 #s(literal 9 binary64) (*.f64 x x)))
(.f64 (.f64 #s(literal -9 binary64) x) x)
(.f64 #s(literal -9 binary64) (.f64 x x))
(.f64 (.f64 #s(literal 3 binary64) x) (*.f64 #s(literal -3 binary64) x))
(.f64 #s(literal -3 binary64) (neg.f64 (.f64 (*.f64 #s(literal -3 binary64) x) x)))
(.f64 #s(literal -3 binary64) (.f64 #s(literal 3 binary64) (*.f64 x x)))
(.f64 (.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -3 binary64))
(.f64 #s(literal 3 binary64) (.f64 (*.f64 #s(literal -3 binary64) x) x))
(.f64 (.f64 x x) #s(literal -9 binary64))
(.f64 x (.f64 #s(literal -9 binary64) x))
(neg.f64 (.f64 #s(literal 9 binary64) (.f64 x x)))
(-.f64 #s(literal 0 binary64) (.f64 #s(literal 9 binary64) (.f64 x x)))
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 #s(literal -9 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal 3 binary64) x) x)
(.f64 #s(literal 3 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 3 binary64))
(.f64 x (.f64 #s(literal 3 binary64) x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 6561 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1296 binary64)) (.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) x)) (pow.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 36 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 531441 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -46656 binary64)) (.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) x)) (pow.f64 (fma.f64 #s(literal 6561 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1296 binary64) (.f64 #s(literal -2916 binary64) (.f64 x x)))) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) x) (fma.f64 #s(literal 6561 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1296 binary64))) (pow.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal 36 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) x) (fma.f64 #s(literal 531441 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -46656 binary64))) (pow.f64 (fma.f64 #s(literal 6561 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1296 binary64) (.f64 #s(literal -2916 binary64) (.f64 x x)))) #s(literal -1 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x) #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64))) x)
(.f64 (fma.f64 #s(literal 6561 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1296 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal 36 binary64)) #s(literal -1 binary64)) (.f64 #s(approx (pow (+ (* -9 x) -6) -1) #s(literal -1/6 binary64)) x)))
(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) (.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) x))
(.f64 (fma.f64 #s(literal 531441 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -46656 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 6561 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1296 binary64) (.f64 #s(literal -2916 binary64) (.f64 x x)))) #s(literal -1 binary64)) (.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) x)))
(.f64 (.f64 #s(approx (pow (+ (* -9 x) -6) -1) #s(literal -1/6 binary64)) x) (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)))
(.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x))
(.f64 x (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64))))
(/.f64 (.f64 (-.f64 #s(literal 1296 binary64) (pow.f64 (.f64 #s(literal -9 binary64) x) #s(literal 4 binary64))) (.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) x)) (-.f64 #s(literal -36 binary64) (.f64 #s(literal 81 binary64) (.f64 x x))))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 6561 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1296 binary64))) (.f64 #s(approx (pow (+ (* -9 x) -6) -1) #s(literal -1/6 binary64)) x)) (fma.f64 #s(literal -81 binary64) (*.f64 x x) #s(literal -36 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 #s(literal 531441 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -46656 binary64))) (.f64 #s(approx (pow (+ (* -9 x) -6) -1) #s(literal -1/6 binary64)) x)) (neg.f64 (fma.f64 #s(literal 6561 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1296 binary64) (.f64 #s(literal -2916 binary64) (.f64 x x))))))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 #s(approx (pow (+ (* -9 x) -6) -1) #s(literal -1/6 binary64)) x)) (pow.f64 (fma.f64 #s(literal 81 binary64) (*.f64 x x) #s(literal -36 binary64)) #s(literal -1 binary64)))
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(/.f64 #s(literal -1 binary64) (.f64 #s(approx (/ 1 ( (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1/3 binary64)))
(/.f64 #s(literal -3 binary64) (neg.f64 #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)))
(neg.f64 (/.f64 #s(literal -1 binary64) (.f64 #s(approx (/ 1 ( (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/3 binary64))))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) #s(approx (/ 1 ( (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)))))
(neg.f64 (/.f64 #s(literal -3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x))))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (.f64 (log.f64 (.f64 #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1/3 binary64))) #s(literal -1 binary64)))
(.f64 #s(approx (/ 1 ( (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (/ 1 ( (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 ( (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x))))
#s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x))
(/.f64 (neg.f64 #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x))))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -1 binary64))
(/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal -1/2 binary64) (neg.f64 x))
(/.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(literal 1 binary64) (*.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (*.f64 x #s(literal -2 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 x #s(literal 2 binary64))))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1/2 binary64) x))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))))
(.f64 (pow.f64 (/.f64 #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) x) #s(literal -1/2 binary64)))
(.f64 (pow.f64 #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) x)
(.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 x #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64))))
(.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64))))
(.f64 x (pow.f64 #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) x) #s(literal -1 binary64))
(/.f64 (.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64))))
(/.f64 (.f64 x #s(literal -1 binary64)) (neg.f64 #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64))))
(/.f64 (pow.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 x) (neg.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) x))
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) x))
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) x)))
(neg.f64 (.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64)))))
(neg.f64 (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))))
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64)) x)) #s(literal -1 binary64)))
(.f64 #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ 1 (+ ( -9 x) 6)) #s(literal 1/6 binary64))))
#s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))
(/.f64 (neg.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))) #s(literal -1 binary64))
(/.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64))))
#s(approx (pow (+ (* -9 x) -6) -1) #s(literal -1/6 binary64))

eval37.0ms (0.6%)

Memory: 33.0MiB live, 68.6MiB allocated
Compiler: Compiled 7 262 to 866 computations (88.1% saved)

prune13.0ms (0.2%)

Memory

-9.9MiB live, 27.0MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	282	2	284
Fresh	0	0	0
Picked	1	3	4
Done	1	5	6
Total	284	10	294

Accuracy

100.0%

Counts

294 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	56.9%	(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
✓	57.0%	(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)))
✓	99.8%	(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
	66.3%	(.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x) #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)))
✓	45.6%	(.f64 (.f64 #s(literal 3 binary64) x) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)))
	56.9%	(.f64 #s(approx (+ ( 81 (* x x)) -36) #s(literal -36 binary64)) (.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) x))
✓	45.7%	(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
✓	57.0%	(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
✓	45.7%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64)))
✓	45.7%	#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))

Compiler

Compiled 382 to 206 computations (46.1% saved)

regimes14.0ms (0.2%)

Memory

-12.0MiB live, 24.8MiB allocated

Counts

19 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
(.f64 #s(approx (+ ( 81 (* x x)) -36) #s(literal -36 binary64)) (.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) x))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) x) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)))
(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
(.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))
(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
(.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x) #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)))
(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) (.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) x))
(/.f64 #s(literal 3 binary64) #s(approx (/ 1 (* (+ (* -3 x) 2) x)) (/.f64 #s(literal 1/2 binary64) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -9 binary64) x #s(literal 6 binary64))))
(/.f64 #s(literal 3 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) x)))
(/.f64 (.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) x) (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)))
(.f64 (fma.f64 #s(literal 81 binary64) (.f64 x x) #s(literal -36 binary64)) (*.f64 (pow.f64 (fma.f64 #s(literal -9 binary64) x #s(literal -6 binary64)) #s(literal -1 binary64)) x))

Outputs
(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))

Calls

2 calls:

8.0ms	x
5.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0.1%)

Memory

17.6MiB live, 17.6MiB allocated

Counts

10 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
(.f64 #s(approx (+ ( 81 (* x x)) -36) #s(literal -36 binary64)) (.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) x))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(/.f64 x #s(approx (/ 1 (+ (* -9 x) 6)) #s(literal 1/6 binary64)))
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal -3 binary64)))
(.f64 (.f64 #s(literal 3 binary64) x) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x)))
(.f64 (.f64 #s(literal 3 binary64) #s(approx (- 2 (* x 3)) (*.f64 #s(literal -3 binary64) x))) x)
(.f64 (fma.f64 #s(literal -3 binary64) x #s(literal 2 binary64)) (.f64 x #s(literal 3 binary64)))

Outputs
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)

Calls

2 calls:

3.0ms	x
3.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

4 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
(.f64 #s(approx (+ ( 81 (* x x)) -36) #s(literal -36 binary64)) (.f64 #s(approx (pow (+ ( -9 x) -6) -1) #s(literal -1/6 binary64)) x))

Outputs
(.f64 #s(approx ( 3 (- 2 (* x 3))) (*.f64 #s(literal -9 binary64) x)) x)
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)

Calls

2 calls:

2.0ms	x
2.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

Accuracy	Segments	Branch
97.7%	3	`x`
97.7%	2	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory

-45.0MiB live, 4.6MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))

Outputs
#s(approx (* (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64)))
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)

Calls

1 calls:

6.0ms

(*.f64 (*.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)

Results

Accuracy	Segments	Branch
97.6%	2	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0%)

Memory

6.1MiB live, 6.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)

Outputs
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)

Calls

2 calls:

1.0ms	(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)
1.0ms	x

Results

Accuracy	Segments	Branch
57.0%	1	`x`
57.0%	1	`(.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (*.f64 x #s(literal 3 binary64)))) x)`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-57239.61102835439	-1.7393866793215435e-6

Compiler

Compiled 12 to 11 computations (8.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-57239.61102835439	-1.7393866793215435e-6

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify26.0ms (0.4%)

Memory

-6.3MiB live, 71.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	99
1	42	99
2	54	99
3	60	99
4	64	99
5	65	99

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #s(literal -50000 binary64)) (.f64 #s(approx (* 3 (- 2 (* x 3))) (.f64 #s(literal -9 binary64) x)) x) (.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #s(literal -50000 binary64)) #s(approx ( (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64))) (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)

Outputs
(fma.f64 x #s(literal 6 binary64) (.f64 #s(literal -9 binary64) (.f64 x x)))
(fma.f64 x #s(literal 6 binary64) (.f64 (.f64 x x) #s(literal -9 binary64)))
(*.f64 (fma.f64 x #s(literal -9 binary64) #s(literal 6 binary64)) x)
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #s(literal -50000 binary64)) (.f64 #s(approx (* 3 (- 2 (* x 3))) (.f64 #s(literal -9 binary64) x)) x) (.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(if (<=.f64 (.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) x) #s(literal -50000 binary64)) (.f64 #s(approx (* 3 (- 2 (* x 3))) (.f64 #s(literal -9 binary64) x)) x) (.f64 #s(approx (* 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(if (<=.f64 (.f64 (.f64 #s(literal 3 binary64) (-.f64 #s(literal 2 binary64) (.f64 x #s(literal 3 binary64)))) x) #s(literal -50000 binary64)) #s(approx ( (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64))) (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(if (<=.f64 (.f64 (.f64 (-.f64 #s(literal 2 binary64) (.f64 #s(literal 3 binary64) x)) #s(literal 3 binary64)) x) #s(literal -50000 binary64)) #s(approx ( (* 3 (- 2 (* x 3))) x) (.f64 (.f64 x x) #s(literal -9 binary64))) (.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x))
(.f64 #s(approx ( 3 (- 2 (* x 3))) #s(literal 6 binary64)) x)

soundness930.0ms (14.2%)

Memory

-1.9MiB live, 329.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	63
1	82	63
2	169	63
3	406	63
4	986	63
5	1308	63
6	2537	63
7	5035	63
8	6878	63
9	7975	63
0	8001	55
0	7	24
0	11	24
1	35	24
2	210	20
3	1728	20
0	9546	17

Stop Event

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

Compiler

Compiled 150 to 70 computations (53.3% saved)

preprocess37.0ms (0.6%)

Memory: -6.7MiB live, 70.7MiB allocated
Compiler: Compiled 234 to 88 computations (62.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample1.8s (27.7%)

explain91.0ms (1.4%)

preprocess92.0ms (1.4%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify39.0ms (0.6%)

localize23.0ms (0.4%)

series3.0ms (0%)

simplify94.0ms (1.4%)

rewrite249.0ms (3.8%)

eval148.0ms (2.3%)

prune74.0ms (1.1%)

simplify95.0ms (1.4%)

localize89.0ms (1.4%)

series7.0ms (0.1%)

simplify117.0ms (1.8%)

rewrite313.0ms (4.8%)

eval133.0ms (2%)

prune16.0ms (0.2%)

simplify298.0ms (4.5%)

localize154.0ms (2.3%)

series9.0ms (0.1%)

simplify189.0ms (2.9%)

rewrite214.0ms (3.3%)

eval434.0ms (6.6%)

prune27.0ms (0.4%)

simplify194.0ms (2.9%)

localize179.0ms (2.7%)

series6.0ms (0.1%)

simplify162.0ms (2.5%)

rewrite223.0ms (3.4%)

eval37.0ms (0.6%)

prune13.0ms (0.2%)

regimes14.0ms (0.2%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

regimes6.0ms (0.1%)

regimes3.0ms (0%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify26.0ms (0.4%)

soundness930.0ms (14.2%)

preprocess37.0ms (0.6%)

end0.0ms (0%)

Profiling