Metrics for Data.Spline.Key:interpolateKeys from smoothie-0.4.0.2

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)

sample675.0ms (11.7%)

Memory

0.3MiB live, 940.8MiB allocated

Samples

448.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 239.0ms

ival-mult: 182.0ms (76.1% of total)

ival-sub: 42.0ms (17.6% of total)

exact: 7.0ms (2.9% of total)

ival-true: 5.0ms (2.1% of total)

ival-assert: 3.0ms (1.3% of total)

Bogosity

explain315.0ms (5.5%)

Memory

-16.6MiB live, 158.4MiB allocated

FPErrors

Click to see full error table

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

76.0ms

512×

valid

Compiler

Compiled 105 to 47 computations (55.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-mult: 9.0ms (68.5% of total)

ival-sub: 3.0ms (22.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess47.0ms (0.8%)

Memory

24.2MiB live, 24.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	36	18
2	120	18
3	451	18
4	845	18
5	940	18
6	944	18
0	7	9
0	11	9
1	20	9
2	48	9
3	112	9
4	208	9
5	266	9
6	346	9
7	500	9
8	623	9
9	704	9
10	872	9
11	874	9
0	874	8

Stop Event

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

Calls

Call 1

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

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

0.4MiB live, 0.4MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify102.0ms (1.8%)

Memory

-18.3MiB live, 20.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	20	23
2	48	23
3	112	23
4	208	23
5	266	23
6	346	23
7	500	23
8	623	23
9	704	23
10	872	23
11	874	23
0	874	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize39.0ms (0.7%)

Memory

-17.2MiB live, 23.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0.125	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Samples

12.0ms

256×

valid

Compiler

Compiled 48 to 16 computations (66.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-mult: 5.0ms (80.3% of total)

ival-sub: 1.0ms (16.1% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

3.3MiB live, 3.3MiB allocated

Counts

4 → 12

Calls

Call 1

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

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

Calls

3 calls:

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

simplify208.0ms (3.6%)

Memory

26.4MiB live, 179.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	62
1	63	62
2	165	62
3	493	62
4	1143	62
5	2033	62
6	2896	62
7	3657	62
8	5411	62
9	6075	62
10	6444	62
0	8224	56

Stop Event

1×	iter limit
1×	node limit

Counts

12 → 12

Calls

Call 1

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

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

rewrite183.0ms (3.2%)

Memory

9.6MiB live, 240.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	35	20
2	219	20
3	1759	20
0	8516	18

Stop Event

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

Counts

4 → 287

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 729 binary64) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) (-.f64 #s(literal 19683 binary64) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64))) #s(literal 729 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (-.f64 #s(literal 81 binary64) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (-.f64 #s(literal 729 binary64) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 #s(literal 36 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))) #s(literal 81 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (-.f64 #s(literal 81 binary64) (pow.f64 (.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 9 binary64) (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)))))
(.f64 (/.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) (+.f64 (pow.f64 (.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) #s(literal 3 binary64)) #s(literal 729 binary64))) (fma.f64 (*.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal -9 binary64)) #s(literal 81 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal -6 binary64)) #s(literal 9 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 81 binary64) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal 9 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 729 binary64) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 6 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (pow.f64 (+.f64 (fma.f64 #s(literal 36 binary64) (.f64 x x) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))) #s(literal 81 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 729 binary64) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 6 binary64))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (pow.f64 (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 #s(literal 19683 binary64) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 9 binary64))) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (pow.f64 (+.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) x) #s(literal 6 binary64))) #s(literal 729 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))))
(.f64 (-.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))))
(.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x #s(literal -9 binary64)) (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 (/.f64 #s(literal -4 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (.f64 (.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal -9 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (.f64 (*.f64 #s(literal 4 binary64) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))))))
(.f64 (-.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (/.f64 #s(literal 8 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) #s(literal 2 binary64)) (.f64 (/.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))))))))
(.f64 (-.f64 (.f64 #s(literal 9 binary64) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (.f64 #s(literal 4 binary64) (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal 2 binary64))))
(.f64 (-.f64 (.f64 #s(literal 27 binary64) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64))) (.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal 2 binary64))))
(.f64 (-.f64 #s(literal 81 binary64) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
(.f64 (-.f64 #s(literal 81 binary64) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal 9 binary64)))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))))
(.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)))
(*.f64 (pow.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(.f64 (-.f64 #s(literal 19683 binary64) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 9 binary64))) (/.f64 #s(literal 1 binary64) (.f64 (+.f64 (fma.f64 #s(literal -216 binary64) (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 #s(literal -2 binary64) x) #s(literal 6 binary64))) #s(literal 729 binary64)) (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)))))
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(*.f64 #s(literal 2 binary64) x)
(*.f64 x (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 x #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal -4 binary64) (.f64 x x)) (*.f64 #s(literal -2 binary64) x))
(/.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (.f64 #s(literal 4 binary64) (*.f64 x x)) #s(literal 0 binary64))))
(neg.f64 (*.f64 #s(literal -2 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -2 binary64) x))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 2 binary64) x))

eval89.0ms (1.5%)

Memory: -23.7MiB live, 98.4MiB allocated
Compiler: Compiled 7 816 to 966 computations (87.6% saved)

prune10.0ms (0.2%)

Memory

26.7MiB live, 26.7MiB allocated

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	285	10	295
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	286	10	296

Accuracy

100.0%

Counts

296 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.6%	(fma.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x) (.f64 (.f64 x x) #s(literal 3 binary64)))
▶	95.1%	(/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
▶	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)))
▶	99.8%	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
	99.6%	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 x x)))
▶	99.8%	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
	73.6%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
▶	59.5%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
	73.6%	#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

Compiler

Compiled 242 to 180 computations (25.6% saved)

simplify91.0ms (1.6%)

Memory

4.2MiB live, 80.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
cost-diff	0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))
cost-diff	1088	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
cost-diff	0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
cost-diff	0	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
cost-diff	0	#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))

Iterations

Useful iterations: 8 (0.0ms)

Iter	Nodes	Cost
0	23	145
0	39	143
1	70	141
2	126	141
3	287	141
4	494	141
5	706	141
6	984	141
7	1771	141
8	2754	140
9	3237	140
10	4571	140
0	8092	140

Stop Event

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

Calls

Call 1

Inputs
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
x
#s(literal 3 binary64)
(*.f64 x x)
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(*.f64 x x)
x
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
x
#s(literal 3 binary64)
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
x
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))
#s(literal 1 binary64)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
(/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
#s(literal -4 binary64)
(*.f64 x x)
x
#s(literal 9 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)

Outputs
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
(.f64 (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
x
#s(literal 3 binary64)
(*.f64 x x)
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(*.f64 x x)
x
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
#s(literal 3 binary64)
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(.f64 (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
x
#s(literal 3 binary64)
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
(.f64 (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x)
x
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x))
#s(literal 1 binary64)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x)
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64))
#s(literal -2 binary64)
#s(literal 3 binary64)
(/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal -3 binary64) x)))
(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
#s(literal -4 binary64)
(*.f64 x x)
x
#s(literal 9 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)

localize247.0ms (4.3%)

Memory

2.9MiB live, 124.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
accuracy	0.08203125	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
accuracy	0.1015625	(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
accuracy	3.053768403360678	(/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
accuracy	0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
accuracy	0.0703125	(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
accuracy	0.09375	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
accuracy	0.586933630391033	(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))
accuracy	0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
accuracy	0.0703125	(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
accuracy	0.13671875	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
accuracy	0	(*.f64 x x)
accuracy	0.125	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
accuracy	33.049599958800385	#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
accuracy	0	(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.125	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))

Samples

219.0ms	234×	0	valid
3.0ms	12×	1	valid
3.0ms	8×	2	valid
1.0ms	2×	3	valid

Compiler

Compiled 303 to 52 computations (82.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 208.0ms

ival-mult: 196.0ms (94.2% of total)

ival-div: 5.0ms (2.4% of total)

ival-add: 4.0ms (1.9% of total)

adjust: 1.0ms (0.5% of total)

ival-sub: 1.0ms (0.5% of total)

exact: 1.0ms (0.5% of total)

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

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

series9.0ms (0.2%)

Memory

-22.9MiB live, 14.5MiB allocated

Counts

13 → 37

Calls

Call 1

Inputs
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))
(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))

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

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	0	((* (+ (* -2 x) 3) (* x x)) (+ (* -2 x) 3) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x) (+ (* -4 (* x x)) 9) (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)))
2.0ms	x	@	-inf	((* (+ (* -2 x) 3) (* x x)) (+ (* -2 x) 3) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x) (+ (* -4 (* x x)) 9) (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)))
2.0ms	x	@	inf	((* (+ (* -2 x) 3) (* x x)) (+ (* -2 x) 3) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x) (+ (* -4 (* x x)) 9) (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)))

Time

Variable

Point

Expression

4.0ms

((* (+ (* -2 x) 3) (* x x)) (+ (* -2 x) 3) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x) (+ (* -4 (* x x)) 9) (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)))

2.0ms

-inf

((* (+ (* -2 x) 3) (* x x)) (+ (* -2 x) 3) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x) (+ (* -4 (* x x)) 9) (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)))

2.0ms

inf

((* (+ (* -2 x) 3) (* x x)) (+ (* -2 x) 3) (* x x) (* (* x x) (- 3 (* x 2))) (- 3 (* x 2)) (* (* (+ (* -2 x) 3) x) x) (* (+ (* -2 x) 3) x) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x) (+ (* -4 (* x x)) 9) (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)))

simplify99.0ms (1.7%)

Memory

16.8MiB live, 100.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	97	273
1	252	273
2	627	269
3	1614	269
4	3895	265
5	6495	265
0	8085	244

Stop Event

1×	iter limit
1×	node limit

Counts

37 → 37

Calls

Call 1

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

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

rewrite251.0ms (4.3%)

Memory

-43.3MiB live, 296.9MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	104
0	39	95
1	144	93
2	883	93
0	9060	93

Stop Event

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

Counts

13 → 1 867

Calls

Call 1

Inputs
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
(fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64))
(*.f64 x x)
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x))
(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x)
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))

Outputs
(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (-.f64 (pow.f64 (.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal -6 binary64) x)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) (*.f64 #s(literal 6 binary64) x)))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal -6 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal -6 binary64) x)) (-.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal -6 binary64) x)) (.f64 #s(literal 4 binary64) (*.f64 x x))))))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (-.f64 (pow.f64 (.f64 x #s(literal -2 binary64)) #s(literal 4 binary64)) (pow.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal -6 binary64) x)) #s(literal 2 binary64)))) (-.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) (*.f64 #s(literal 6 binary64) x)))
(.f64 (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (fma.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal -6 binary64) x)) #s(literal 3 binary64)))) (fma.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64)) (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal -6 binary64) x)) (-.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal -6 binary64) x)) (.f64 #s(literal 4 binary64) (*.f64 x x))))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (.f64 x x)) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (.f64 x x)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal 6 binary64) x)))))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (neg.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal 6 binary64) x)))))
(.f64 (.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) x)
(.f64 (.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)))
(.f64 (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)) x)
(.f64 (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 x x)) (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)))
(.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))
(.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (fma.f64 (.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal 6 binary64) x))))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)))) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64)))) (fma.f64 (.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)) x) x)) (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 x x) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))
(.f64 (.f64 (.f64 x x) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (fma.f64 (.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal 6 binary64) x))))
(.f64 (pow.f64 (pow.f64 (.f64 (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) x) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) #s(literal -1 binary64)) (*.f64 x (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
(.f64 (/.f64 x (pow.f64 (.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)) x) #s(literal -1/2 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) #s(literal -1 binary64)) (/.f64 (neg.f64 x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64))) (/.f64 x (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (/.f64 x (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64))) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 x x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 x x) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))
(*.f64 (/.f64 x (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64))) (neg.f64 x))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x x)) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(.f64 (.f64 (neg.f64 x) (neg.f64 x)) (fma.f64 x #s(literal -2 binary64) #s(literal 3 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) x))
(.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (.f64 x x))))
(.f64 (pow.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) #s(literal -1 binary64)) (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (.f64 x x))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal 6 binary64) x))) (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (*.f64 x x))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (.f64 (.f64 x x) (fma.f64 (.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))))))
(.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)))
(.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64))) (/.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal 6 binary64) x))) (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x)))
(.f64 (/.f64 x (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (/.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal 6 binary64) x))) #s(literal -1 binary64))))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (+.f64 #s(literal 9 binary64) (.f64 x (-.f64 (.f64 #s(literal 4 binary64) x) #s(literal 6 binary64)))))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (fma.f64 (.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal 6 binary64) x))))
(.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64))) (/.f64 (.f64 x x) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (*.f64 x x)))
(.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal 6 binary64) x))) (.f64 x x)))
(.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (/.f64 (.f64 x x) (pow.f64 (fma.f64 (.f64 #s(literal 4 binary64) x) x (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))) #s(literal -1 binary64))))
(.f64 (.f64 (*.f64 (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)) x) x) (pow.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 x x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (pow.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (neg.f64 x) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))
(.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x) (.f64 x (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) #s(literal -1 binary64))))
(.f64 (pow.f64 (fma.f64 x #s(literal -2 binary64) #s(literal -3 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x) x))
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(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (*.f64 #s(literal 3 binary64) x) x) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 (.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) #s(literal 1 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 1 binary64)) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) #s(literal 1 binary64)))
(+.f64 (.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64))) (.f64 #s(literal 2 binary64) x)) (.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))) #s(literal -3 binary64)))
(+.f64 (.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))))
(+.f64 (.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (-.f64 #s(literal 9 binary64) (.f64 #s(literal 6 binary64) x))) (.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal -27 binary64))) (.f64 #s(literal 4 binary64) (*.f64 x x))))
(+.f64 (.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))) (.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (.f64 #s(literal 9 binary64) x)))
(+.f64 (.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (.f64 #s(literal 9 binary64) x)) (.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -4 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (*.f64 #s(literal 3 binary64) x) x)))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))) (.f64 #s(literal 1 binary64) (.f64 (*.f64 x x) #s(literal 3 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 #s(literal 3 binary64) x) x)) (.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))) (.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (.f64 (*.f64 #s(literal 3 binary64) x) x))
(+.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)) (.f64 (*.f64 x x) #s(literal 3 binary64)))
(+.f64 (.f64 (.f64 #s(literal 3 binary64) x) x) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(+.f64 (.f64 (.f64 x x) #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))

eval298.0ms (5.1%)

Memory: 9.8MiB live, 281.7MiB allocated
Compiler: Compiled 36 748 to 4 045 computations (89% saved)

prune32.0ms (0.6%)

Memory

23.0MiB live, 100.5MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	1 542	9	1 551
Fresh	4	1	5
Picked	1	4	5
Done	0	0	0
Total	1 547	14	1 561

Accuracy

100.0%

Counts

1 561 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	84.6%	(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) x) x (.f64 (.f64 x x) #s(literal 3 binary64)))
	47.2%	(/.f64 (.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
▶	99.8%	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))
✓	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
▶	59.5%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
▶	73.6%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
	99.1%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)))
✓	99.8%	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
▶	99.7%	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (*.f64 x (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
	68.2%	(.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)))
✓	99.8%	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
▶	59.5%	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
	73.6%	(.f64 (.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)
✓	59.5%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))

Compiler

Compiled 327 to 247 computations (24.5% saved)

simplify254.0ms (4.4%)

Memory

-18.7MiB live, 97.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (*.f64 x (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
cost-diff	0	#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
cost-diff	0	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
cost-diff	0	(/.f64 #s(literal 1/3 binary64) x)
cost-diff	0	#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))
cost-diff	0	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
cost-diff	0	#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
cost-diff	0	(.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) x)
cost-diff	0	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
cost-diff	0	(fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))
cost-diff	1472	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	180
0	54	180
1	88	180
2	149	180
3	271	180
4	499	179
5	616	175
6	744	175
7	1090	175
8	1653	175
9	2979	175
10	5050	175
11	6451	175
12	6795	175
13	6834	175
14	6866	175
15	6902	175
16	7242	175
17	7604	175
18	7819	175
19	7855	175
20	7863	175
21	7863	175
0	8147	171

Stop Event

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

Calls

Call 1

Inputs
(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))
x
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) x)
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
#s(literal 3 binary64)
x
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
x
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
x
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
#s(literal -1/2 binary64)
(*.f64 x x)
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (*.f64 x (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
#s(literal -4 binary64)
(*.f64 x x)
x
#s(literal 9 binary64)
(*.f64 x (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)

Outputs
(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
x
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(/.f64 #s(literal -1 binary64) x)
#s(literal -1 binary64)
(fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))
#s(literal 2 binary64)
#s(literal -3 binary64)
(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) x)
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
#s(literal 3 binary64)
x
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
x
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
x
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
#s(literal -1/2 binary64)
(*.f64 x x)
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (*.f64 x (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
#s(literal -4 binary64)
(*.f64 x x)
x
#s(literal 9 binary64)
(*.f64 x (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(*.f64 (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) x)
(/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)

localize127.0ms (2.2%)

Memory

30.5MiB live, 152.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
accuracy	0.0078125	(/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
accuracy	0.0703125	(*.f64 x (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
accuracy	0.12890625	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (*.f64 x (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
accuracy	0	(*.f64 x x)
accuracy	0.09375	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
accuracy	0.532246130391033	(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
accuracy	30.605455172346478	#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
accuracy	0.09375	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
accuracy	0.31640625	(/.f64 #s(literal 1/3 binary64) x)
accuracy	32.09620358346945	#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))
accuracy	0.0703125	(.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) x)
accuracy	0.13671875	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
accuracy	33.049599958800385	#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
accuracy	0	(fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.09375	(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))
accuracy	0.1953125	(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))

Samples

61.0ms	241×	0	valid
3.0ms	10×	1	valid
2.0ms	5×	2	valid

Compiler

Compiled 345 to 74 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 41.0ms

ival-mult: 14.0ms (34.4% of total)

ival-div: 13.0ms (31.9% of total)

const: 6.0ms (14.7% of total)

ival-add: 4.0ms (9.8% of total)

adjust: 1.0ms (2.5% of total)

ival-sub: 1.0ms (2.5% of total)

exact: 1.0ms (2.5% of total)

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

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

series16.0ms (0.3%)

Memory

-18.9MiB live, 14.4MiB allocated

Counts

18 → 55

Calls

Call 1

Inputs
(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))
(/.f64 #s(literal -1 binary64) x)
(fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))
(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) x)
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 x x)
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (*.f64 x (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
(*.f64 x (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))

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

Calls

3 calls:

Time

Variable

Point

Expression

11.0ms

((/ x (/ (/ -1 x) (+ (* 2 x) -3))) (/ (/ -1 x) (+ (* 2 x) -3)) (/ -1 x) (+ (* 2 x) -3) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ 1/3 x) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ -1/2 (* x x)) (* x x) (* (+ (* -4 (* x x)) 9) (* x (/ x (+ (* 2 x) 3)))) (+ (* -4 (* x x)) 9) (* x (/ x (+ (* 2 x) 3))) (/ x (+ (* 2 x) 3)))

2.0ms

inf

((/ x (/ (/ -1 x) (+ (* 2 x) -3))) (/ (/ -1 x) (+ (* 2 x) -3)) (/ -1 x) (+ (* 2 x) -3) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ 1/3 x) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ -1/2 (* x x)) (* x x) (* (+ (* -4 (* x x)) 9) (* x (/ x (+ (* 2 x) 3)))) (+ (* -4 (* x x)) 9) (* x (/ x (+ (* 2 x) 3))) (/ x (+ (* 2 x) 3)))

2.0ms

-inf

((/ x (/ (/ -1 x) (+ (* 2 x) -3))) (/ (/ -1 x) (+ (* 2 x) -3)) (/ -1 x) (+ (* 2 x) -3) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ 1/3 x) (/ x (/ 1 (* (+ (* -2 x) 3) x))) (/ 1 (* (+ (* -2 x) 3) x)) (/ -1/2 (* x x)) (* x x) (* (+ (* -4 (* x x)) 9) (* x (/ x (+ (* 2 x) 3)))) (+ (* -4 (* x x)) 9) (* x (/ x (+ (* 2 x) 3))) (/ x (+ (* 2 x) 3)))

simplify166.0ms (2.9%)

Memory

-6.5MiB live, 152.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	152	451
1	431	431
2	1051	423
3	2461	411
4	5896	407
0	8186	370

Stop Event

1×	iter limit
1×	node limit

Counts

55 → 55

Calls

Call 1

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

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

rewrite263.0ms (4.5%)

Memory

26.7MiB live, 221.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	158
0	54	153
1	209	147
2	1271	147
0	8750	142

Stop Event

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

Counts

18 → 1 068

Calls

Call 1

Inputs
(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))
(/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))
(/.f64 #s(literal -1 binary64) x)
(fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))
(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) x)
#s(approx (- 3 (* x 2)) #s(literal 3 binary64))
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x))
(/.f64 #s(literal 1/3 binary64) x)
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
#s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal -1/2 binary64) (*.f64 x x))
(*.f64 x x)
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (*.f64 x (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
(*.f64 x (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))

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

eval105.0ms (1.8%)

Memory: 2.5MiB live, 192.1MiB allocated
Compiler: Compiled 18 072 to 2 342 computations (87% saved)

prune77.0ms (1.3%)

Memory

-32.6MiB live, 73.8MiB allocated

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	833	5	838
Fresh	3	2	5
Picked	2	3	5
Done	0	4	4
Total	838	14	852

Accuracy

100.0%

Counts

852 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	84.6%	(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) x) x (.f64 (.f64 x x) #s(literal 3 binary64)))
▶	84.6%	(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x)))
▶	47.2%	(/.f64 (.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
✓	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
	73.6%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
✓	59.5%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
✓	73.6%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
✓	99.8%	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
	72.7%	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))
▶	66.4%	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (.f64 x #s(approx (/ x (+ ( 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x))))
✓	99.8%	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
▶	73.6%	(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
✓	59.5%	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
✓	59.5%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))

Compiler

Compiled 308 to 227 computations (26.3% saved)

simplify239.0ms (4.1%)

Memory

19.9MiB live, 91.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64))
cost-diff	0	(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) x)
cost-diff	0	(.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x)
cost-diff	0	(/.f64 (.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
cost-diff	0	(.f64 (.f64 x x) #s(literal 3 binary64))
cost-diff	0	(*.f64 x #s(literal -2 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal -2 binary64)) x)
cost-diff	640	(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) x) x (.f64 (.f64 x x) #s(literal 3 binary64)))
cost-diff	0	(.f64 x #s(approx (/ x (+ ( 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
cost-diff	0	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (.f64 x #s(approx (/ x (+ ( 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x))))
cost-diff	0	(*.f64 #s(literal -2 binary64) x)
cost-diff	0	#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))
cost-diff	0	(.f64 #s(approx (- 3 ( x 2)) (*.f64 #s(literal -2 binary64) x)) x)
cost-diff	0	(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
cost-diff	-5824	(.f64 (.f64 x x) (*.f64 #s(literal -2 binary64) x))
cost-diff	0	(*.f64 #s(literal -2 binary64) x)
cost-diff	0	(*.f64 x x)
cost-diff	6464	(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	209
0	56	203
1	97	203
2	153	201
3	245	201
4	401	201
5	470	201
6	550	201
7	790	201
8	986	201
9	1075	201
10	1657	201
11	2745	201
12	3944	201
13	4203	201
14	4767	201
15	4915	201
16	4975	201
17	5199	201
18	5295	201
19	5295	201
20	5495	201
21	5573	201
22	5603	201
23	5603	201
24	5603	201
25	5603	201
26	5603	201
27	5611	201
0	5611	196

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x)))
(*.f64 x x)
x
#s(literal 3 binary64)
(.f64 (.f64 x x) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
(.f64 #s(approx (- 3 ( x 2)) (*.f64 #s(literal -2 binary64) x)) x)
#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (.f64 x #s(approx (/ x (+ ( 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x))))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
#s(literal -4 binary64)
(*.f64 x x)
x
#s(literal 9 binary64)
(.f64 x #s(approx (/ x (+ ( 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)))
#s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) x) x (.f64 (.f64 x x) #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal -2 binary64)) x)
(*.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(.f64 (.f64 x x) #s(literal 3 binary64))
(*.f64 x x)
#s(literal 3 binary64)
(/.f64 (.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x)
(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) x)
#s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64))
#s(literal 9 binary64)
x
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)

Outputs
(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(*.f64 x x)
x
#s(literal 3 binary64)
(.f64 (.f64 x x) (*.f64 #s(literal -2 binary64) x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
(.f64 #s(approx (- 3 ( x 2)) (.f64 #s(literal -2 binary64) x)) (.f64 x x))
(.f64 #s(approx (- 3 ( x 2)) (*.f64 #s(literal -2 binary64) x)) x)
#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))
(*.f64 #s(literal -2 binary64) x)
#s(literal -2 binary64)
x
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (.f64 x #s(approx (/ x (+ ( 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x))))
(.f64 (.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) x) #s(approx (/ x (+ ( 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
#s(literal -4 binary64)
(*.f64 x x)
x
#s(literal 9 binary64)
(.f64 x #s(approx (/ x (+ ( 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)))
(.f64 #s(approx (/ x (+ ( 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)) x)
#s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
#s(literal 1/3 binary64)
(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) x) x (.f64 (.f64 x x) #s(literal 3 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(.f64 (.f64 x #s(literal -2 binary64)) x)
(.f64 (.f64 #s(literal -2 binary64) x) x)
(*.f64 x #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) x)
x
#s(literal -2 binary64)
(.f64 (.f64 x x) #s(literal 3 binary64))
(.f64 #s(literal 3 binary64) (.f64 x x))
(*.f64 x x)
#s(literal 3 binary64)
(/.f64 (.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x)
(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) x)
#s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64))
#s(literal 9 binary64)
x
(fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))
#s(literal 2 binary64)
#s(literal 3 binary64)

localize111.0ms (1.9%)

Memory

3.5MiB live, 87.2MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.08203125	(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) x)
accuracy	0.1015625	(.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x)
accuracy	3.053768403360678	(/.f64 (.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
accuracy	33.55173144740564	#s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64))
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 x #s(literal -2 binary64))
accuracy	0.1484375	(.f64 (.f64 x x) #s(literal 3 binary64))
accuracy	9.816325747378034	(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) x) x (.f64 (.f64 x x) #s(literal 3 binary64)))
accuracy	0.0703125	(.f64 x #s(approx (/ x (+ ( 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)))
accuracy	0.12890625	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (.f64 x #s(approx (/ x (+ ( 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x))))
accuracy	0.33984375	(*.f64 #s(literal 1/3 binary64) x)
accuracy	32.96970998653502	#s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x))
accuracy	0	(*.f64 #s(literal -2 binary64) x)
accuracy	0.0703125	(.f64 #s(approx (- 3 ( x 2)) (*.f64 #s(literal -2 binary64) x)) x)
accuracy	0.13671875	(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
accuracy	30.576300957124648	#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))
accuracy	0	(*.f64 x x)
accuracy	0	(*.f64 #s(literal -2 binary64) x)
accuracy	0.0859375	(.f64 (.f64 x x) (*.f64 #s(literal -2 binary64) x))
accuracy	9.820231997378034	(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x)))

Samples

75.0ms	234×	0	valid
10.0ms	12×	1	valid
3.0ms	8×	2	valid
1.0ms	2×	3	valid

Compiler

Compiled 408 to 73 computations (82.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 37.0ms (72.6% of total)

ival-add: 4.0ms (7.8% of total)

ival-div: 3.0ms (5.9% of total)

const: 3.0ms (5.9% of total)

adjust: 1.0ms (2% of total)

ival-sub: 1.0ms (2% of total)

exact: 1.0ms (2% of total)

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

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

series33.0ms (0.6%)

Memory

-25.9MiB live, 11.3MiB allocated

Counts

20 → 49

Calls

Call 1

Inputs
(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x)))
(*.f64 x x)
(*.f64 #s(literal -2 binary64) x)
(.f64 (.f64 x x) (*.f64 #s(literal -2 binary64) x))
(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
(.f64 #s(approx (- 3 ( x 2)) (*.f64 #s(literal -2 binary64) x)) x)
#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (.f64 x #s(approx (/ x (+ ( 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x))))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
(.f64 x #s(approx (/ x (+ ( 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) x) x (.f64 (.f64 x x) #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal -2 binary64)) x)
(*.f64 x #s(literal -2 binary64))
(.f64 (.f64 x x) #s(literal 3 binary64))
(/.f64 (.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x)
(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) x)
#s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64))
#s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

-inf

((+ (* (* x x) 3) (* (* x x) (* -2 x))) (* x x) (* -2 x) (* (* x x) (* -2 x)) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (* (+ (* -4 (* x x)) 9) (* x (/ x (+ (* 2 x) 3)))) (+ (* -4 (* x x)) 9) (* x (/ x (+ (* 2 x) 3))) (+ (* (* (* x -2) x) x) (* (* x x) 3)) (* (* x -2) x) (* x -2) (* (* x x) 3) (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x) (+ (* -4 (* x x)) 9) (/ x (+ (* 2 x) 3)) (* 1/3 x))

3.0ms

inf

((+ (* (* x x) 3) (* (* x x) (* -2 x))) (* x x) (* -2 x) (* (* x x) (* -2 x)) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (* (+ (* -4 (* x x)) 9) (* x (/ x (+ (* 2 x) 3)))) (+ (* -4 (* x x)) 9) (* x (/ x (+ (* 2 x) 3))) (+ (* (* (* x -2) x) x) (* (* x x) 3)) (* (* x -2) x) (* x -2) (* (* x x) 3) (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x) (+ (* -4 (* x x)) 9) (/ x (+ (* 2 x) 3)) (* 1/3 x))

2.0ms

((+ (* (* x x) 3) (* (* x x) (* -2 x))) (* x x) (* -2 x) (* (* x x) (* -2 x)) (* (* (- 3 (* x 2)) x) x) (* (- 3 (* x 2)) x) (- 3 (* x 2)) (* (+ (* -4 (* x x)) 9) (* x (/ x (+ (* 2 x) 3)))) (+ (* -4 (* x x)) 9) (* x (/ x (+ (* 2 x) 3))) (+ (* (* (* x -2) x) x) (* (* x x) 3)) (* (* x -2) x) (* x -2) (* (* x x) 3) (/ (* (* (+ (* -4 (* x x)) 9) x) x) (+ (* 2 x) 3)) (* (* (+ (* -4 (* x x)) 9) x) x) (* (+ (* -4 (* x x)) 9) x) (+ (* -4 (* x x)) 9) (/ x (+ (* 2 x) 3)) (* 1/3 x))

simplify162.0ms (2.8%)

Memory

18.3MiB live, 136.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	121	391
1	364	375
2	885	367
3	2218	355
4	5612	355
0	8055	323

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 49

Calls

Call 1

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

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

rewrite280.0ms (4.8%)

Memory

27.5MiB live, 414.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	180
0	56	174
1	179	174
2	986	172
0	8525	167

Stop Event

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

Counts

20 → 564

Calls

Call 1

Inputs
(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x)))
(*.f64 x x)
(*.f64 #s(literal -2 binary64) x)
(.f64 (.f64 x x) (*.f64 #s(literal -2 binary64) x))
(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
(.f64 #s(approx (- 3 ( x 2)) (*.f64 #s(literal -2 binary64) x)) x)
#s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x))
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (.f64 x #s(approx (/ x (+ ( 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x))))
(fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64))
(.f64 x #s(approx (/ x (+ ( 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x)))
(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) x) x (.f64 (.f64 x x) #s(literal 3 binary64)))
(.f64 (.f64 x #s(literal -2 binary64)) x)
(*.f64 x #s(literal -2 binary64))
(.f64 (.f64 x x) #s(literal 3 binary64))
(/.f64 (.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x)
(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) x)
#s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64))
#s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)

Outputs
(.f64 (.f64 (.f64 x x) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)))
(.f64 (.f64 (.f64 x x) (/.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (fma.f64 #s(literal 4 binary64) (.f64 x x) (-.f64 #s(literal 9 binary64) (.f64 #s(literal 6 binary64) x))))
(.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64))) (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (.f64 x x) (-.f64 #s(literal 27 binary64) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (fma.f64 #s(literal 4 binary64) x #s(literal 6 binary64)) #s(literal 9 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (.f64 x x)) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) (.f64 x x)) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) x) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64))) (.f64 x (fma.f64 #s(literal -2 binary64) x #s(literal -3 binary64)))))
(.f64 (/.f64 (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x) x) (/.f64 (.f64 (.f64 x x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64))) (.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
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(+.f64 (.f64 (-.f64 #s(literal 9 binary64) (.f64 #s(literal 6 binary64) x)) (/.f64 (.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))) (.f64 (.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 (.f64 (.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64)))))
(+.f64 (.f64 (/.f64 (.f64 (.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64))) (.f64 #s(literal 2 binary64) x)) (.f64 (/.f64 (.f64 (.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64))) #s(literal -3 binary64)))
(+.f64 (.f64 (/.f64 (.f64 (.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (.f64 #s(literal 4 binary64) (.f64 x x))) (.f64 (/.f64 (.f64 (.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (-.f64 #s(literal 9 binary64) (*.f64 #s(literal 6 binary64) x))))
(+.f64 (.f64 (/.f64 (.f64 (.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (-.f64 #s(literal 9 binary64) (.f64 #s(literal 6 binary64) x))) (.f64 (/.f64 (.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)) #s(literal 27 binary64))) (.f64 #s(literal 4 binary64) (.f64 x x))))
(.f64 (neg.f64 (.f64 (neg.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64))) x)) x)
(.f64 (neg.f64 (neg.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)))) (*.f64 x x))
(.f64 (.f64 (neg.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64))) x) (neg.f64 x))
(.f64 (neg.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64))) (*.f64 (neg.f64 x) x))
(.f64 #s(literal -1 binary64) (.f64 (.f64 (neg.f64 x) x) #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64))))
(.f64 #s(literal 1 binary64) (.f64 (.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) x) x))
(.f64 (neg.f64 x) (.f64 (neg.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64))) x))
(.f64 (.f64 (.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) x) x) #s(literal 1 binary64))
(.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x)
(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) (.f64 (.f64 x x) #s(literal 1 binary64)))
(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) (neg.f64 (*.f64 (neg.f64 x) x)))
(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) (*.f64 x x))
(.f64 (.f64 x x) (.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) #s(literal 1 binary64)))
(.f64 (.f64 x x) #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)))
(.f64 x (neg.f64 (.f64 (neg.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64))) x)))
(.f64 x (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64))))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 x) x) #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64))))
(.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) #s(literal 1 binary64))
(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) x)
(.f64 x (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) #s(literal 1 binary64)))
(.f64 x #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)))
#s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64))
#s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x))
(*.f64 #s(literal 1/3 binary64) x)
(*.f64 x #s(literal 1/3 binary64))

eval212.0ms (3.7%)

Memory: 1.0MiB live, 87.2MiB allocated
Compiler: Compiled 13 544 to 1 352 computations (90% saved)

prune53.0ms (0.9%)

Memory

-21.7MiB live, 51.4MiB allocated

Pruning

14 alts after pruning (3 fresh and 11 done)

	Pruned	Kept	Total
New	489	1	490
Fresh	0	2	2
Picked	1	4	5
Done	0	7	7
Total	490	14	504

Accuracy

100.0%

Counts

504 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	84.6%	(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) x) x (.f64 (.f64 x x) #s(literal 3 binary64)))
✓	84.6%	(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x)))
✓	47.2%	(/.f64 (.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
✓	99.7%	(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
	73.6%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
✓	59.5%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
✓	73.6%	(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
✓	99.8%	(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
	72.7%	(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))
✓	99.8%	(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
✓	73.6%	(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
✓	59.5%	(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
✓	59.5%	(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
	59.4%	(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) (.f64 x #s(approx (/ x (+ ( 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x))))

Compiler

Compiled 567 to 255 computations (55% saved)

regimes19.0ms (0.3%)

Memory

-13.2MiB live, 33.3MiB allocated

Counts

26 → 1

Calls

Call 1

Inputs
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) (.f64 x #s(approx (/ x (+ ( 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x))))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(.f64 (.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)
(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal 1/3 binary64) x)))
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (.f64 x #s(approx (/ x (+ ( 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x))))
(fma.f64 (.f64 x x) #s(literal 3 binary64) (.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x)))
(fma.f64 (.f64 x x) (.f64 #s(literal -2 binary64) x) (.f64 (.f64 x x) #s(literal 3 binary64)))
(fma.f64 (.f64 (.f64 x #s(literal -2 binary64)) x) x (.f64 (.f64 x x) #s(literal 3 binary64)))
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 #s(literal -1/2 binary64) (*.f64 x x))))
(/.f64 (.f64 (.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(/.f64 x #s(approx (/ 1 (* (+ (* -2 x) 3) x)) (/.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(/.f64 x (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x)))
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (*.f64 x (/.f64 x (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)))
(/.f64 (.f64 (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x) x) (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)))
(/.f64 x (/.f64 (/.f64 #s(literal -1 binary64) x) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))
(.f64 (/.f64 x (fma.f64 #s(literal 4 binary64) (.f64 x x) #s(literal -9 binary64))) (.f64 (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64)) (.f64 (fma.f64 #s(literal -4 binary64) (*.f64 x x) #s(literal 9 binary64)) x)))
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (.f64 (.f64 x (/.f64 x (fma.f64 #s(literal 4 binary64) (*.f64 x x) #s(literal -9 binary64)))) (fma.f64 #s(literal 2 binary64) x #s(literal -3 binary64))))
#s(approx (* (* x x) (- 3 (* x 2))) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -2 binary64)))
(.f64 (fma.f64 #s(literal -4 binary64) (.f64 x x) #s(literal 9 binary64)) (.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x #s(literal 3 binary64)) #s(literal -1 binary64)) (.f64 x x)))

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

Calls

2 calls:

11.0ms	x
7.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

7 → 1

Calls

Call 1

Inputs
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) (.f64 x #s(approx (/ x (+ ( 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x))))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(.f64 (.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)
(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)

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

Calls

2 calls:

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

Results

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

Compiler

Compiled 10 to 8 computations (20% saved)

regimes6.0ms (0.1%)

Memory

7.7MiB live, 7.7MiB allocated

Counts

6 → 3

Calls

Call 1

Inputs
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(.f64 (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) x) x)
(.f64 #s(approx (+ ( -4 (* x x)) 9) #s(literal 9 binary64)) (.f64 x #s(approx (/ x (+ ( 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x))))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))
(.f64 (.f64 #s(approx (+ (* -2 x) 3) (*.f64 #s(literal -2 binary64) x)) x) x)
(.f64 (.f64 #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)) x) x)

Outputs

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

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

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

Calls

2 calls:

3.0ms	x
2.0ms	(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
97.0%	3	`x`
97.0%	3	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes4.0ms (0.1%)

Memory

8.4MiB live, 8.4MiB allocated

Accuracy

Total -0.1b remaining (-0.6%)

Threshold costs -0.1b (-0.6%)

Counts

3 → 1

Calls

Call 1

Inputs

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

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

(*.f64 #s(approx (+ (* -4 (* x x)) 9) #s(literal 9 binary64)) (*.f64 x #s(approx (/ x (+ (* 2 x) 3)) (*.f64 #s(literal 1/3 binary64) x))))

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

Calls

2 calls:

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

Results

Accuracy	Segments	Branch
59.5%	1	`x`
59.5%	1	`(.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (*.f64 x #s(literal 2 binary64))))`

Compiler

Compiled 10 to 8 computations (20% saved)

bsearch1.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.007485941167336672	1193238.3851067326
0.0ms	-49016.88068154991	0.0

Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify27.0ms (0.5%)

Memory

-11.9MiB live, 63.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	88
1	38	88
2	50	88
3	56	88
4	60	88
5	61	88

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(if (<=.f64 (.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -40000 binary64)) (.f64 (.f64 x x) #s(approx (- 3 ( x 2)) (.f64 #s(literal -2 binary64) x))) (if (<=.f64 (.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))

Outputs
(.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) (.f64 x x))
(.f64 (.f64 x x) (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)))
(.f64 (.f64 (fma.f64 #s(literal -2 binary64) x #s(literal 3 binary64)) x) x)
(if (<=.f64 (.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal -40000 binary64)) (.f64 (.f64 x x) #s(approx (- 3 ( x 2)) (.f64 #s(literal -2 binary64) x))) (if (<=.f64 (.f64 (.f64 x x) (-.f64 #s(literal 3 binary64) (.f64 x #s(literal 2 binary64)))) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64))) (.f64 (.f64 x x) #s(approx (- 3 (* x 2)) (*.f64 #s(literal -2 binary64) x)))))
(if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) x)) (.f64 x x)) #s(literal -40000 binary64)) (.f64 #s(approx (- 3 (* x 2)) (.f64 x #s(literal -2 binary64))) (.f64 x x)) (if (<=.f64 (.f64 (-.f64 #s(literal 3 binary64) (.f64 #s(literal 2 binary64) x)) (.f64 x x)) #s(literal 5764607523034235/576460752303423488 binary64)) (.f64 #s(approx (- 3 (* x 2)) #s(literal 3 binary64)) (.f64 x x)) (.f64 #s(approx (- 3 (* x 2)) (.f64 x #s(literal -2 binary64))) (.f64 x x))))
(.f64 (.f64 x x) #s(approx (- 3 (* x 2)) #s(literal 3 binary64)))
(.f64 #s(approx (- 3 ( x 2)) #s(literal 3 binary64)) (*.f64 x x))

soundness872.0ms (15.1%)

Memory

-13.6MiB live, 312.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	35	20
2	219	20
3	1759	20
0	8516	18
0	24	62
1	63	62
2	165	62
3	493	62
4	1143	62
5	2033	62
6	2896	62
7	3657	62
8	5411	62
9	6075	62
10	6444	62
0	8224	56

Stop Event

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

Compiler

Compiled 157 to 64 computations (59.2% saved)

preprocess53.0ms (0.9%)

Memory: 42.1MiB live, 78.0MiB allocated
Compiler: Compiled 212 to 82 computations (61.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	19
1	36	18
2	120	18
3	451	18
4	845	18
5	940	18
6	944	18
0	7	9
0	11	9
1	20	9
2	48	9
3	112	9
4	208	9
5	266	9
6	346	9
7	500	9
8	623	9
9	704	9
10	872	9
11	874	9
0	874	8

Iter	Nodes	Cost
0	7	23
0	11	23
1	20	23
2	48	23
3	112	23
4	208	23
5	266	23
6	346	23
7	500	23
8	623	23
9	704	23
10	872	23
11	874	23
0	874	21

Iter	Nodes	Cost
0	9	19
1	36	18
2	120	18
3	451	18
4	845	18
5	940	18
6	944	18
0	7	9
0	11	9
1	20	9
2	48	9
3	112	9
4	208	9
5	266	9
6	346	9
7	500	9
8	623	9
9	704	9
10	872	9
11	874	9
0	874	8

Iter	Nodes	Cost
0	7	23
0	11	23
1	20	23
2	48	23
3	112	23
4	208	23
5	266	23
6	346	23
7	500	23
8	623	23
9	704	23
10	872	23
11	874	23
0	874	21

start0.0ms (0%)

analyze0.0ms (0%)

sample675.0ms (11.7%)

explain315.0ms (5.5%)

preprocess47.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify102.0ms (1.8%)

localize39.0ms (0.7%)

series3.0ms (0.1%)

simplify208.0ms (3.6%)

rewrite183.0ms (3.2%)

eval89.0ms (1.5%)

prune10.0ms (0.2%)

simplify91.0ms (1.6%)

localize247.0ms (4.3%)

series9.0ms (0.2%)

simplify99.0ms (1.7%)

rewrite251.0ms (4.3%)

eval298.0ms (5.1%)

prune32.0ms (0.6%)

simplify254.0ms (4.4%)

localize127.0ms (2.2%)

series16.0ms (0.3%)

simplify166.0ms (2.9%)

rewrite263.0ms (4.5%)

eval105.0ms (1.8%)

prune77.0ms (1.3%)

simplify239.0ms (4.1%)

localize111.0ms (1.9%)

series33.0ms (0.6%)

simplify162.0ms (2.8%)

rewrite280.0ms (4.8%)

eval212.0ms (3.7%)

prune53.0ms (0.9%)

regimes19.0ms (0.3%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

simplify27.0ms (0.5%)

soundness872.0ms (15.1%)

preprocess53.0ms (0.9%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	19
1	36	18
2	120	18
3	451	18
4	845	18
5	940	18
6	944	18
0	7	9
0	11	9
1	20	9
2	48	9
3	112	9
4	208	9
5	266	9
6	346	9
7	500	9
8	623	9
9	704	9
10	872	9
11	874	9
0	874	8

Iter	Nodes	Cost
0	7	23
0	11	23
1	20	23
2	48	23
3	112	23
4	208	23
5	266	23
6	346	23
7	500	23
8	623	23
9	704	23
10	872	23
11	874	23
0	874	21