Metrics for Numeric.SpecFunctions:invIncompleteGamma from math-functions-0.1.5.2, A

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

1.2MiB live, 1.1MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample1.2s (21.1%)

Memory

8.4MiB live, 1 544.1MiB allocated

Samples

954.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 661.0ms

const: 323.0ms (48.9% of total)

ival-mult: 171.0ms (25.9% of total)

ival-sub: 83.0ms (12.6% of total)

ival-add: 70.0ms (10.6% of total)

ival-true: 5.0ms (0.8% of total)

exact: 5.0ms (0.8% of total)

ival-assert: 3.0ms (0.5% of total)

Bogosity

explain127.0ms (2.2%)

Memory

-15.0MiB live, 219.3MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))`
-	-	`#s(literal 3/25 binary64)`
-	-	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`
-	-	`#s(literal 1 binary64)`
-	-	`(*.f64 x #s(literal 3/25 binary64))`
-	-	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
-	-	`#s(literal 253/1000 binary64)`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

39.0ms

512×

valid

Compiler

Compiled 97 to 36 computations (62.9% saved)

Precisions

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

const: 13.0ms (51% of total)

ival-mult: 7.0ms (27.5% of total)

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

ival-add: 2.0ms (7.8% of total)

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

exact: 0.0ms (0% of total)

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

preprocess44.0ms (0.8%)

Memory

-0.7MiB live, 80.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	36	18
2	117	18
3	349	18
4	613	18
5	713	18
6	735	18
7	743	18
0	8	9
0	12	9
1	28	9
2	66	9
3	131	9
4	224	9
5	344	9
6	479	9
7	630	9
8	652	9
0	652	7

Stop Event

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

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Outputs
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))

Compiler

Compiled 9 to 8 computations (11.1% saved)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify42.0ms (0.7%)

Memory

3.5MiB live, 40.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x #s(literal 3/25 binary64))
cost-diff	0	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
cost-diff	128	(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
0	12	28
1	28	28
2	66	28
3	131	28
4	224	28
5	344	28
6	479	28
7	630	28
8	652	28
0	652	24

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
#s(literal 1 binary64)
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
x
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
#s(literal 253/1000 binary64)
(*.f64 x #s(literal 3/25 binary64))
#s(literal 3/25 binary64)

Outputs
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
x
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
#s(literal 253/1000 binary64)
(*.f64 #s(literal 3/25 binary64) x)
#s(literal 3/25 binary64)

localize59.0ms (1%)

Memory

23.4MiB live, 62.8MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
accuracy	0.0078125	(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
accuracy	0.1015625	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
accuracy	0.23828125	(*.f64 x #s(literal 3/25 binary64))

Samples

51.0ms

256×

valid

Compiler

Compiled 58 to 18 computations (69% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-sub: 33.0ms (73.8% of total)

const: 7.0ms (15.7% of total)

ival-mult: 3.0ms (6.7% of total)

ival-add: 1.0ms (2.2% of total)

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

exact: 0.0ms (0% of total)

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

series32.0ms (0.6%)

Memory

-28.7MiB live, 8.5MiB allocated

Counts

4 → 48

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (*.f64 x #s(literal 3/25 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((- 1 (* x (+ 253/1000 (* x 3/25)))) (+ 253/1000 (* x 3/25)) (* x (+ 253/1000 (* x 3/25))) (* x 3/25))
1.0ms	x	@	-inf	((- 1 (* x (+ 253/1000 (* x 3/25)))) (+ 253/1000 (* x 3/25)) (* x (+ 253/1000 (* x 3/25))) (* x 3/25))
1.0ms	x	@	0	((- 1 (* x (+ 253/1000 (* x 3/25)))) (+ 253/1000 (* x 3/25)) (* x (+ 253/1000 (* x 3/25))) (* x 3/25))

Time

Variable

Point

Expression

1.0ms

inf

((- 1 (* x (+ 253/1000 (* x 3/25)))) (+ 253/1000 (* x 3/25)) (* x (+ 253/1000 (* x 3/25))) (* x 3/25))

1.0ms

-inf

((- 1 (* x (+ 253/1000 (* x 3/25)))) (+ 253/1000 (* x 3/25)) (* x (+ 253/1000 (* x 3/25))) (* x 3/25))

1.0ms

((- 1 (* x (+ 253/1000 (* x 3/25)))) (+ 253/1000 (* x 3/25)) (* x (+ 253/1000 (* x 3/25))) (* x 3/25))

simplify141.0ms (2.5%)

Memory

16.0MiB live, 178.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	254
1	93	254
2	217	248
3	501	248
4	1018	248
5	2385	248
6	4087	248
7	5187	248
8	6479	248
9	7508	248
0	8107	215

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

Inputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
253/1000
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)

Outputs
#s(literal 1 binary64)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(literal 253/1000 binary64)
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(*.f64 #s(literal 253/1000 binary64) x)
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 #s(literal 3/25 binary64) x)
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(*.f64 #s(literal 3/25 binary64) x)
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 #s(literal 3/25 binary64) x)
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(*.f64 #s(literal 3/25 binary64) x)
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 #s(literal 3/25 binary64) x)

rewrite213.0ms (3.7%)

Memory

6.5MiB live, 246.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	24
0	12	24
1	55	24
2	428	24
3	4320	24
0	8270	20

Stop Event

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

Counts

4 → 317

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(+.f64 #s(literal 253/1000 binary64) (*.f64 x #s(literal 3/25 binary64)))
(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
(*.f64 x #s(literal 3/25 binary64))

Outputs
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eval85.0ms (1.5%)

Memory: -3.5MiB live, 118.5MiB allocated
Compiler: Compiled 7 378 to 961 computations (87% saved)

prune41.0ms (0.7%)

Memory

5.0MiB live, 42.9MiB allocated

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	355	10	365
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	355	11	366

Accuracy

100.0%

Counts

366 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
▶	99.9%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
	99.9%	(-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 253/1000 binary64) (.f64 (.f64 #s(literal 3/25 binary64) x) x)))
	99.8%	(-.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))))
	99.8%	(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
▶	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
✓	99.9%	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
	54.8%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
	48.0%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
▶	47.0%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
▶	52.9%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Compiler

Compiled 253 to 210 computations (17% saved)

simplify139.0ms (2.4%)

Memory

-1.2MiB live, 72.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
cost-diff	0	(.f64 x (/.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
cost-diff	0	(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal -3/25 binary64))
cost-diff	0	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
cost-diff	0	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
cost-diff	0	(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	320	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	130
0	40	132
1	80	128
2	152	124
3	259	124
4	464	124
5	759	124
6	1265	124
7	2436	124
8	3790	124
9	3911	124
10	3918	124
11	3925	124
12	3926	124
13	3926	124
14	4042	124
15	4084	124
16	4084	124
17	4084	124
0	4084	123

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(*.f64 x x)
x
#s(literal -3/25 binary64)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
#s(literal -253/1000 binary64)
#s(literal 1 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(*.f64 x x)
x
#s(literal -3/25 binary64)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
x
#s(literal -253/1000 binary64)
#s(literal 1 binary64)
(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
#s(literal 1 binary64)
(.f64 x (/.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
x
(/.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
#s(literal -9/625 binary64)
(*.f64 x x)
#s(literal 64009/1000000 binary64)
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)

Outputs
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(*.f64 x x)
x
#s(literal -3/25 binary64)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
#s(literal -253/1000 binary64)
#s(literal 1 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 #s(literal -3/25 binary64) (.f64 x x)))
(.f64 #s(literal -3/25 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal -3/25 binary64)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
x
#s(literal -253/1000 binary64)
#s(literal 1 binary64)
(fma.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(.f64 (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)))
x
(/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
#s(literal -9/625 binary64)
(*.f64 x x)
#s(literal 64009/1000000 binary64)
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)

localize123.0ms (2.1%)

Memory

18.2MiB live, 293.8MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
accuracy	0.1015625	(.f64 x (/.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
accuracy	0.109375	(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
accuracy	14.961225656260575	(/.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
accuracy	0.05859375	(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
accuracy	0.12109375	(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.16015625	(.f64 (.f64 x x) #s(literal -3/25 binary64))
accuracy	33.86449867685386	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
accuracy	30.15703293699913	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.05078125	(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
accuracy	0.0625	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))

Samples

78.0ms	254×	0	valid
1.0ms	1×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 268 to 56 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

const: 24.0ms (36.9% of total)

ival-mult: 19.0ms (29.2% of total)

ival-sub: 12.0ms (18.4% of total)

ival-add: 7.0ms (10.8% of total)

ival-div: 2.0ms (3.1% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series50.0ms (0.9%)

Memory

-9.9MiB live, 29.2MiB allocated

Counts

13 → 156

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 x x) #s(literal -3/25 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 x (/.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #<representation binary64>) () ())

Outputs
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (.f64 (.f64 x x) #s(literal -3/25 binary64)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
39.0ms	x	@	0	((+ (* (* x x) -3/25) (+ (* -253/1000 x) 1)) (* x x) (+ (* -253/1000 x) 1) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000))) (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)) (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000))
2.0ms	x	@	inf	((+ (* (* x x) -3/25) (+ (* -253/1000 x) 1)) (* x x) (+ (* -253/1000 x) 1) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000))) (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)) (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000))
2.0ms	x	@	-inf	((+ (* (* x x) -3/25) (+ (* -253/1000 x) 1)) (* x x) (+ (* -253/1000 x) 1) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000))) (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)) (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000))

Time

Variable

Point

Expression

39.0ms

((+ (* (* x x) -3/25) (+ (* -253/1000 x) 1)) (* x x) (+ (* -253/1000 x) 1) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000))) (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)) (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000))

2.0ms

inf

((+ (* (* x x) -3/25) (+ (* -253/1000 x) 1)) (* x x) (+ (* -253/1000 x) 1) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000))) (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)) (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000))

2.0ms

-inf

((+ (* (* x x) -3/25) (+ (* -253/1000 x) 1)) (* x x) (+ (* -253/1000 x) 1) (- 1 (* x (+ 253/1000 (* x 3/25)))) (- 1 (* x (+ 253/1000 (* x 3/25)))) (* (* x x) -3/25) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000))) (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)) (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000))

simplify148.0ms (2.6%)

Memory

-13.0MiB live, 142.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	904
1	141	894
2	357	874
3	767	874
4	1332	874
5	2962	874
6	5132	874
7	6605	874
8	7811	874
0	8054	745

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

Inputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -253/1000 x))
(+ 1 (* -253/1000 x))
(+ 1 (* -253/1000 x))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
253/1000
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
(+ 253/1000 (* 3/25 x))
64009/1000000
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
253/1000
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -253/1000 x)
(* x (- (/ 1 x) 253/1000))
(* x (- (/ 1 x) 253/1000))
(* x (- (/ 1 x) 253/1000))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* -3/25 x)
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -253/1000 x)
(* -1 (* x (- 253/1000 (/ 1 x))))
(* -1 (* x (- 253/1000 (/ 1 x))))
(* -1 (* x (- 253/1000 (/ 1 x))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* 3/25 x)
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* x (+ 3/25 (* 253/1000 (/ 1 x))))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* -3/25 x)
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))

Outputs
#s(literal 1 binary64)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
#s(literal 1 binary64)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
#s(literal 1 binary64)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(literal -253/1000 binary64)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
#s(literal 1 binary64)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(*.f64 #s(literal 253/1000 binary64) x)
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
#s(literal 253/1000 binary64)
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
#s(literal 64009/1000000 binary64)
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
#s(literal 253/1000 binary64)
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 #s(literal -253/1000 binary64) x)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(*.f64 #s(literal -3/25 binary64) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(.f64 (.f64 #s(literal 3/25 binary64) x) x)
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(*.f64 #s(literal 3/25 binary64) x)
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(.f64 #s(literal -9/625 binary64) (.f64 x x))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
(*.f64 #s(literal -3/25 binary64) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 #s(literal -253/1000 binary64) x)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(*.f64 #s(literal -3/25 binary64) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(.f64 (.f64 #s(literal 3/25 binary64) x) x)
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(*.f64 #s(literal 3/25 binary64) x)
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64))
(.f64 #s(literal -9/625 binary64) (.f64 x x))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
(*.f64 #s(literal -3/25 binary64) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))

rewrite236.0ms (4.1%)

Memory

20.4MiB live, 179.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	107
0	40	109
1	191	105
2	1605	105
0	8470	103

Stop Event

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

Counts

13 → 587

Calls

Call 1

Inputs
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(*.f64 x x)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
(.f64 (.f64 x x) #s(literal -3/25 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(.f64 x (/.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))

Outputs
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eval201.0ms (3.5%)

Memory: -37.9MiB live, 184.0MiB allocated
Compiler: Compiled 19 207 to 1 890 computations (90.2% saved)

prune26.0ms (0.4%)

Memory

18.8MiB live, 56.9MiB allocated

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	771	8	779
Fresh	4	1	5
Picked	1	4	5
Done	1	0	1
Total	777	13	790

Accuracy

100.0%

Counts

790 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
	99.9%	(fma.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
▶	99.8%	(fma.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64))
	99.9%	(fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
✓	99.9%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
▶	54.8%	(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
▶	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))))
▶	99.9%	(-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 253/1000 binary64) (.f64 (.f64 #s(literal 3/25 binary64) x) x)))
	99.9%	(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)))))
▶	48.0%	#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
✓	47.0%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
	47.0%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 #s(literal -3/25 binary64) x) x))
✓	52.9%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Compiler

Compiled 286 to 231 computations (19.2% saved)

simplify180.0ms (3.1%)

Memory

-14.4MiB live, 62.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
cost-diff	0	(neg.f64 x)
cost-diff	0	(fma.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64))
cost-diff	128	(/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
cost-diff	0	(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
cost-diff	0	(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)))
cost-diff	1408	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))))
cost-diff	0	(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
cost-diff	0	(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
cost-diff	0	#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
cost-diff	0	#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
cost-diff	0	(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
cost-diff	0	(*.f64 #s(literal 3/25 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 3/25 binary64) x) x)
cost-diff	128	(-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 253/1000 binary64) (.f64 (.f64 #s(literal 3/25 binary64) x) x)))
cost-diff	320	(fma.f64 x #s(literal 253/1000 binary64) (.f64 (.f64 #s(literal 3/25 binary64) x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	161
0	55	163
1	101	159
2	227	153
3	556	153
4	1135	153
5	1994	153
6	2933	153
7	3601	153
8	3673	153
9	3700	153
10	3723	153
11	3734	153
12	3845	153
13	3904	153
14	3931	153
15	3931	153
0	3931	149

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 253/1000 binary64) (.f64 (.f64 #s(literal 3/25 binary64) x) x)))
#s(literal 1 binary64)
(fma.f64 x #s(literal 253/1000 binary64) (.f64 (.f64 #s(literal 3/25 binary64) x) x))
x
#s(literal 253/1000 binary64)
(.f64 (.f64 #s(literal 3/25 binary64) x) x)
(*.f64 #s(literal 3/25 binary64) x)
#s(literal 3/25 binary64)
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
x
#s(literal 1 binary64)
#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
x
#s(literal -253/1000 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
x
#s(literal -253/1000 binary64)
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(neg.f64 x)
x
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
#s(literal -9/625 binary64)
(*.f64 x x)
#s(literal 64009/1000000 binary64)
#s(literal 1 binary64)

Outputs
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
x
#s(literal 253/1000 binary64)
(.f64 (.f64 #s(literal 3/25 binary64) x) x)
(*.f64 #s(literal 3/25 binary64) x)
#s(literal 3/25 binary64)
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
x
#s(literal 1 binary64)
#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
x
#s(literal -253/1000 binary64)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
#s(literal -3/25 binary64)
x
#s(literal -253/1000 binary64)
(fma.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #s(literal 1 binary64))
(/.f64 x (fma.f64 #s(literal 3/25 binary64) x #s(literal -253/1000 binary64)))
(neg.f64 x)
x
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
#s(literal -3/25 binary64)
#s(literal 253/1000 binary64)
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
#s(literal -9/625 binary64)
(*.f64 x x)
#s(literal 64009/1000000 binary64)
#s(literal 1 binary64)

localize134.0ms (2.3%)

Memory

9.4MiB live, 210.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
accuracy	0.1015625	(fma.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64))
accuracy	0.109375	(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
accuracy	0.1328125	(/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
accuracy	0.05859375	(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
accuracy	0.06640625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))))
accuracy	0.07065415172363414	(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)))
accuracy	0.12109375	(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
accuracy	0.1015625	(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
accuracy	0.12109375	(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
accuracy	33.18308778201919	#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
accuracy	0.05859375	(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
accuracy	29.495188930151468	#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
accuracy	0	(-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 253/1000 binary64) (.f64 (.f64 #s(literal 3/25 binary64) x) x)))
accuracy	0.046875	(fma.f64 x #s(literal 253/1000 binary64) (.f64 (.f64 #s(literal 3/25 binary64) x) x))
accuracy	0.125	(.f64 (.f64 #s(literal 3/25 binary64) x) x)
accuracy	0.23828125	(*.f64 #s(literal 3/25 binary64) x)

Samples

83.0ms

256×

valid

Compiler

Compiled 339 to 73 computations (78.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

const: 25.0ms (45.3% of total)

ival-mult: 14.0ms (25.4% of total)

ival-div: 6.0ms (10.9% of total)

ival-add: 6.0ms (10.9% of total)

ival-sub: 2.0ms (3.6% of total)

ival-neg: 1.0ms (1.8% of total)

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

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

exact: 0.0ms (0% of total)

series17.0ms (0.3%)

Memory

1.7MiB live, 39.1MiB allocated

Counts

17 → 204

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (fma.f64 x #s(literal 253/1000 binary64) (.f64 (.f64 #s(literal 3/25 binary64) x) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 253/1000 binary64) (.f64 (.f64 #s(literal 3/25 binary64) x) x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 #s(literal 3/25 binary64) x) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal 3/25 binary64) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())

Outputs
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

((+ (* x 253/1000) (* (* 3/25 x) x)) (- 1 (+ (* x 253/1000) (* (* 3/25 x) x))) (* (* 3/25 x) x) (* 3/25 x) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (/ (neg x) (+ (* -3/25 x) 253/1000)) (+ (* (/ (neg x) (+ (* -3/25 x) 253/1000)) (+ (* -9/625 (* x x)) 64009/1000000)) 1) (neg x) (+ (* -3/25 x) 253/1000) (+ (* -9/625 (* x x)) 64009/1000000))

2.0ms

-inf

((+ (* x 253/1000) (* (* 3/25 x) x)) (- 1 (+ (* x 253/1000) (* (* 3/25 x) x))) (* (* 3/25 x) x) (* 3/25 x) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (/ (neg x) (+ (* -3/25 x) 253/1000)) (+ (* (/ (neg x) (+ (* -3/25 x) 253/1000)) (+ (* -9/625 (* x x)) 64009/1000000)) 1) (neg x) (+ (* -3/25 x) 253/1000) (+ (* -9/625 (* x x)) 64009/1000000))

2.0ms

inf

((+ (* x 253/1000) (* (* 3/25 x) x)) (- 1 (+ (* x 253/1000) (* (* 3/25 x) x))) (* (* 3/25 x) x) (* 3/25 x) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (+ (* -3/25 x) -253/1000) (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (+ (* (+ (* -3/25 x) -253/1000) x) 1) (/ (neg x) (+ (* -3/25 x) 253/1000)) (+ (* (/ (neg x) (+ (* -3/25 x) 253/1000)) (+ (* -9/625 (* x x)) 64009/1000000)) 1) (neg x) (+ (* -3/25 x) 253/1000) (+ (* -9/625 (* x x)) 64009/1000000))

simplify161.0ms (2.8%)

Memory

14.3MiB live, 216.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	140	1236
1	362	1235
2	853	1226
3	1858	1222
4	4172	1222
5	7799	1222
0	8255	1066

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 204

Calls

Call 1

Inputs
(* 253/1000 x)
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
(* x (+ 253/1000 (* 3/25 x)))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
1
(+ 1 (* 253/1000 x))
(+ 1 (* x (+ 253/1000 (* 184009/1000000 x))))
(+ 1 (* x (+ 253/1000 (* x (+ 184009/1000000 (* 76914277/1000000000 x))))))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -1000/253 x)
(* x (- (* -120000/64009 x) 1000/253))
(* x (- (* x (- (* -14400000/16194277 x) 120000/64009)) 1000/253))
(* x (- (* x (- (* x (- (* -1728000000/4097152081 x) 14400000/16194277)) 120000/64009)) 1000/253))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
253/1000
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
(+ 253/1000 (* -3/25 x))
64009/1000000
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(/ -25/3 (pow x 2))
(/ (- (* 1265/72 (/ 1 x)) 25/3) (pow x 2))
(/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 184009/1728 (pow x 2)))) (pow x 2))
(/ (- (+ (* 1265/72 (/ 1 x)) (* 76914277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 184009/1728 (pow x 2)))) (pow x 2))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
25/3
(+ 25/3 (* 1265/72 (/ 1 x)))
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2))))
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (+ (* 16194277/207360 (/ 1 (pow x 3))) (/ 64009/1728 (pow x 2)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -3/25 x)
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* x (- (* 253/1000 (/ 1 x)) 3/25))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* 3/25 (pow x 2))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 (pow x 2))
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* 3/25 x)
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(/ -25/3 (pow x 2))
(/ (- (* 1265/72 (/ 1 x)) 25/3) (pow x 2))
(/ (- (* -1 (/ (- (* 184009/1728 (/ 1 x)) 1265/72) x)) 25/3) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 76914277/207360 (/ 1 x)) 184009/1728) x)) 1265/72) x)) 25/3) (pow x 2))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
25/3
(+ 25/3 (* 1265/72 (/ 1 x)))
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2))))
(+ 25/3 (* -1 (/ (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) x)) 1265/72) x)))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -3/25 x)
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (- 3/25 (* 253/1000 (/ 1 x)))))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))

Outputs
(*.f64 #s(literal 253/1000 binary64) x)
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
#s(literal 1 binary64)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 #s(literal 3/25 binary64) x)
#s(literal 1 binary64)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(literal -253/1000 binary64)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
#s(literal 1 binary64)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(*.f64 #s(literal -253/1000 binary64) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
#s(literal -253/1000 binary64)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
#s(literal 1 binary64)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 #s(literal 253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 184009/1000000 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 76914277/1000000000 binary64) x #s(literal 184009/1000000 binary64)) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(*.f64 #s(literal -1000/253 binary64) x)
(*.f64 (fma.f64 #s(literal -120000/64009 binary64) x #s(literal -1000/253 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -14400000/16194277 binary64) x #s(literal -120000/64009 binary64)) x #s(literal -1000/253 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1728000000/4097152081 binary64) x #s(literal -14400000/16194277 binary64)) x #s(literal -120000/64009 binary64)) x #s(literal -1000/253 binary64)) x)
#s(literal 1 binary64)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
#s(literal 253/1000 binary64)
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
#s(literal 64009/1000000 binary64)
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 #s(literal 3/25 binary64) x)
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(*.f64 #s(literal -3/25 binary64) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(*.f64 #s(literal -3/25 binary64) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(/.f64 #s(literal -25/3 binary64) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal 25/3 binary64)) x) x)
(/.f64 (-.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 184009/1728 binary64) x) #s(literal 1265/72 binary64)) x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (-.f64 (/.f64 #s(literal 76914277/207360 binary64) x) #s(literal 184009/1728 binary64)) x)) x)) (*.f64 x x))
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(literal 25/3 binary64)
(-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))
(-.f64 (+.f64 (/.f64 #s(literal 64009/1728 binary64) (*.f64 x x)) #s(literal 25/3 binary64)) (/.f64 #s(literal -1265/72 binary64) x))
(+.f64 (+.f64 (/.f64 #s(literal 16194277/207360 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 25/3 binary64)) (-.f64 (/.f64 #s(literal 64009/1728 binary64) (*.f64 x x)) (/.f64 #s(literal -1265/72 binary64) x)))
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
(*.f64 #s(literal -3/25 binary64) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(.f64 (.f64 x x) #s(literal -9/625 binary64))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) x)
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
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(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(.f64 (.f64 x x) #s(literal 3/25 binary64))
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 #s(literal 3/25 binary64) x)
(*.f64 #s(literal 3/25 binary64) x)
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(*.f64 #s(literal -3/25 binary64) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
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(.f64 (.f64 #s(literal -3/25 binary64) x) x)
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(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
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(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
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(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(literal 25/3 binary64)
(-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))
(-.f64 (+.f64 (/.f64 #s(literal 64009/1728 binary64) (*.f64 x x)) #s(literal 25/3 binary64)) (/.f64 #s(literal -1265/72 binary64) x))
(-.f64 #s(literal 25/3 binary64) (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal -64009/1728 binary64)) x)) x))
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(neg.f64 x)
(neg.f64 x)
(neg.f64 x)
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(*.f64 #s(literal -3/25 binary64) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(.f64 (.f64 x x) #s(literal -9/625 binary64))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))

rewrite179.0ms (3.1%)

Memory

13.8MiB live, 360.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	134
0	55	130
1	230	128
2	1846	128
0	8918	124

Stop Event

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

Counts

17 → 592

Calls

Call 1

Inputs
(fma.f64 x #s(literal 253/1000 binary64) (.f64 (.f64 #s(literal 3/25 binary64) x) x))
(-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 253/1000 binary64) (.f64 (.f64 #s(literal 3/25 binary64) x) x)))
(.f64 (.f64 #s(literal 3/25 binary64) x) x)
(*.f64 #s(literal 3/25 binary64) x)
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64)))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64))
(neg.f64 x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))

Outputs
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eval191.0ms (3.3%)

Memory: -10.7MiB live, 198.5MiB allocated
Compiler: Compiled 20 736 to 1 971 computations (90.5% saved)

prune32.0ms (0.6%)

Memory

-10.1MiB live, 64.0MiB allocated

Pruning

14 alts after pruning (7 fresh and 7 done)

	Pruned	Kept	Total
New	830	7	837
Fresh	4	0	4
Picked	2	3	5
Done	0	4	4
Total	836	14	850

Accuracy

100.0%

Counts

850 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓	99.9%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
▶	56.4%	(fma.f64 #s(approx (/ (neg x) (+ (* -3/25 x) 253/1000)) #s(literal 25/3 binary64)) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64))
✓	54.8%	(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
	46.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (.f64 (.f64 #s(literal -3/25 binary64) x) x))))
▶	46.9%	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (/.f64 #s(literal -25/3 binary64) (*.f64 x x))))
✓	99.9%	(-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 253/1000 binary64) (.f64 (.f64 #s(literal 3/25 binary64) x) x)))
▶	47.0%	#s(approx (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (.f64 (.f64 #s(literal -3/25 binary64) x) x))
	40.5%	#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (/.f64 (.f64 (fma.f64 #s(literal 9/625 binary64) (.f64 x x) #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
✓	48.0%	#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
▶	48.0%	#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 (-.f64 (.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x))
▶	3.7%	#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
✓	47.0%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
✓	52.9%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Compiler

Compiled 402 to 317 computations (21.1% saved)

simplify294.0ms (5.1%)

Memory

3.2MiB live, 89.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal -25/3 binary64) (*.f64 x x))
cost-diff	0	#s(approx (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (/.f64 #s(literal -25/3 binary64) (*.f64 x x)))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (/.f64 #s(literal -25/3 binary64) (*.f64 x x))))
cost-diff	0	(*.f64 #s(literal -3/25 binary64) x)
cost-diff	0	(.f64 (-.f64 (.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x)
cost-diff	0	#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 (-.f64 (.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x))
cost-diff	128	(-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64))
cost-diff	0	(*.f64 #s(literal -3/25 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal -3/25 binary64) x) x)
cost-diff	0	#s(approx (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (.f64 (.f64 #s(literal -3/25 binary64) x) x))
cost-diff	0	#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
cost-diff	0	(.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)
cost-diff	0	#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
cost-diff	0	#s(approx (/ (neg x) (+ (* -3/25 x) 253/1000)) #s(literal 25/3 binary64))
cost-diff	0	(fma.f64 #s(approx (/ (neg x) (+ (* -3/25 x) 253/1000)) #s(literal 25/3 binary64)) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	204
0	53	200
1	96	200
2	172	200
3	302	198
4	483	198
5	747	198
6	1375	198
7	2130	198
8	2781	198
9	3611	198
10	4608	198
11	4819	198
12	4960	198
13	5026	198
14	5187	198
15	5563	198
16	5776	198
17	5961	198
18	5961	198
19	5961	198
20	5961	198
21	6067	198
22	6784	198
23	6784	198
0	6784	180

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 #s(approx (/ (neg x) (+ (* -3/25 x) 253/1000)) #s(literal 25/3 binary64)) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64))
#s(approx (/ (neg x) (+ (* -3/25 x) 253/1000)) #s(literal 25/3 binary64))
#s(literal 25/3 binary64)
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
#s(literal -9/625 binary64)
(*.f64 x x)
x
#s(literal 64009/1000000 binary64)
#s(literal 1 binary64)
#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
(.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
x
#s(approx (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (.f64 (.f64 #s(literal -3/25 binary64) x) x))
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 #s(literal -3/25 binary64) x)
#s(literal -3/25 binary64)
x
#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 (-.f64 (.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x))
(.f64 (-.f64 (.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x)
(-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64))
(*.f64 #s(literal -3/25 binary64) x)
#s(literal -3/25 binary64)
x
#s(literal 253/1000 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (/.f64 #s(literal -25/3 binary64) (*.f64 x x))))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (/.f64 #s(literal -25/3 binary64) (*.f64 x x)))
(/.f64 #s(literal -25/3 binary64) (*.f64 x x))
#s(literal -25/3 binary64)
(*.f64 x x)
x

Outputs
(fma.f64 (fma.f64 (.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64)) #s(approx (/ (neg x) (+ ( -3/25 x) 253/1000)) #s(literal 25/3 binary64)) #s(literal 1 binary64))
#s(approx (/ (neg x) (+ (* -3/25 x) 253/1000)) #s(literal 25/3 binary64))
#s(literal 25/3 binary64)
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
#s(literal -9/625 binary64)
(*.f64 x x)
x
#s(literal 64009/1000000 binary64)
#s(literal 1 binary64)
#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
(.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
#s(literal -253/1000 binary64)
x
#s(approx (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (.f64 (.f64 #s(literal -3/25 binary64) x) x))
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 #s(literal -3/25 binary64) x)
#s(literal -3/25 binary64)
x
#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(*.f64 #s(literal -3/25 binary64) x)
#s(literal -3/25 binary64)
x
#s(literal 253/1000 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (/.f64 #s(literal -25/3 binary64) (*.f64 x x))))
#s(literal 1 binary64)
#s(approx (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (/.f64 #s(literal -25/3 binary64) (*.f64 x x)))
(/.f64 #s(literal -25/3 binary64) (*.f64 x x))
#s(literal -25/3 binary64)
(*.f64 x x)
x

localize98.0ms (1.7%)

Memory

16.7MiB live, 127.2MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.06640625	(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (/.f64 #s(literal -25/3 binary64) (*.f64 x x))))
accuracy	0.2806341810289602	(/.f64 #s(literal -25/3 binary64) (*.f64 x x))
accuracy	34.43961865064361	#s(approx (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (/.f64 #s(literal -25/3 binary64) (*.f64 x x)))
accuracy	0.0078125	(-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64))
accuracy	0.1015625	(.f64 (-.f64 (.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x)
accuracy	0.23828125	(*.f64 #s(literal -3/25 binary64) x)
accuracy	33.18308778201919	#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 (-.f64 (.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x))
accuracy	0.125	(.f64 (.f64 #s(literal -3/25 binary64) x) x)
accuracy	0.23828125	(*.f64 #s(literal -3/25 binary64) x)
accuracy	33.86449867685386	#s(approx (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (.f64 (.f64 #s(literal -3/25 binary64) x) x))
accuracy	0.1015625	(.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)
accuracy	29.495188930151468	#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
accuracy	33.18308778201919	#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
accuracy	0	(*.f64 x x)
accuracy	0.0546875	(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
accuracy	0.1015625	(fma.f64 #s(approx (/ (neg x) (+ (* -3/25 x) 253/1000)) #s(literal 25/3 binary64)) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64))
accuracy	33.380325335271	#s(approx (/ (neg x) (+ (* -3/25 x) 253/1000)) #s(literal 25/3 binary64))

Samples

80.0ms

256×

valid

Compiler

Compiled 373 to 78 computations (79.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 62.0ms

const: 25.0ms (40.6% of total)

ival-div: 14.0ms (22.7% of total)

ival-mult: 13.0ms (21.1% of total)

ival-add: 6.0ms (9.7% of total)

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

ival-neg: 1.0ms (1.6% of total)

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

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

exact: 0.0ms (0% of total)

series36.0ms (0.6%)

Memory

-23.4MiB live, 22.1MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (fma.f64 #s(approx (/ (neg x) (+ (* -3/25 x) 253/1000)) #s(literal 25/3 binary64)) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ (neg x) (+ (* -3/25 x) 253/1000)) #s(literal 25/3 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (.f64 (.f64 #s(literal -3/25 binary64) x) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (.f64 #s(literal -3/25 binary64) x) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (*.f64 #s(literal -3/25 binary64) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 (-.f64 (.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x)) #<representation binary64>) () ())
#s(alt #<batchref> (patch (.f64 (-.f64 (.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (/.f64 #s(literal -25/3 binary64) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt #<batchref> (patch #s(approx (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (/.f64 #s(literal -25/3 binary64) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #<batchref> (patch (/.f64 #s(literal -25/3 binary64) (*.f64 x x)) #<representation binary64>) () ())

Outputs
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(approx (/ (neg x) (+ (* -3/25 x) 253/1000)) #s(literal 25/3 binary64)) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(approx (/ (neg x) (+ (* -3/25 x) 253/1000)) #s(literal 25/3 binary64)) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(approx (/ (neg x) (+ (* -3/25 x) 253/1000)) #s(literal 25/3 binary64)) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(approx (/ (neg x) (+ (* -3/25 x) 253/1000)) #s(literal 25/3 binary64)) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (neg x) (+ (* -3/25 x) 253/1000)) #s(literal 25/3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (neg x) (+ (* -3/25 x) 253/1000)) #s(literal 25/3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (neg x) (+ (* -3/25 x) 253/1000)) #s(literal 25/3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (/ (neg x) (+ (* -3/25 x) 253/1000)) #s(literal 25/3 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch (*.f64 x x) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor 0 x) (#s(alt #<batchref> (patch #s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal -25/3 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
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#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal -25/3 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())
#s(alt #<batchref> (taylor -inf x) (#s(alt #<batchref> (patch (/.f64 #s(literal -25/3 binary64) (*.f64 x x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

26.0ms

-inf

((+ (* (/ (neg x) (+ (* -3/25 x) 253/1000)) (+ (* -9/625 (* x x)) 64009/1000000)) 1) (/ (neg x) (+ (* -3/25 x) 253/1000)) (+ (* -9/625 (* x x)) 64009/1000000) (* x x) (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (* (* -3/25 x) x) (* -3/25 x) (- (* -3/25 x) 253/1000) (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (* (- (* -3/25 x) 253/1000) x) (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (/ -25/3 (* x x)))

2.0ms

inf

((+ (* (/ (neg x) (+ (* -3/25 x) 253/1000)) (+ (* -9/625 (* x x)) 64009/1000000)) 1) (/ (neg x) (+ (* -3/25 x) 253/1000)) (+ (* -9/625 (* x x)) 64009/1000000) (* x x) (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (* (* -3/25 x) x) (* -3/25 x) (- (* -3/25 x) 253/1000) (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (* (- (* -3/25 x) 253/1000) x) (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (/ -25/3 (* x x)))

1.0ms

((+ (* (/ (neg x) (+ (* -3/25 x) 253/1000)) (+ (* -9/625 (* x x)) 64009/1000000)) 1) (/ (neg x) (+ (* -3/25 x) 253/1000)) (+ (* -9/625 (* x x)) 64009/1000000) (* x x) (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (* (+ (* -3/25 x) -253/1000) x) (+ (* -3/25 x) -253/1000) (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (* (* -3/25 x) x) (* -3/25 x) (- (* -3/25 x) 253/1000) (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (* (- (* -3/25 x) 253/1000) x) (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (/ -25/3 (* x x)))

simplify206.0ms (3.6%)

Memory

23.3MiB live, 179.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	129	1172
1	332	1171
2	810	1162
3	1755	1158
4	4058	1158
5	7583	1158
0	8014	1026

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -1000/253 x)
(* x (- (* -120000/64009 x) 1000/253))
(* x (- (* x (- (* -14400000/16194277 x) 120000/64009)) 1000/253))
(* x (- (* x (- (* x (- (* -1728000000/4097152081 x) 14400000/16194277)) 120000/64009)) 1000/253))
64009/1000000
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(+ 64009/1000000 (* -9/625 (pow x 2)))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
-253/1000
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
(- (* -3/25 x) 253/1000)
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(* -253/1000 x)
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
(* x (- (* -3/25 x) 253/1000))
1
(+ 1 (* -253/1000 x))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
(+ 1 (* x (- (* -3/25 x) 253/1000)))
1
(+ 1 (* 253/1000 x))
(+ 1 (* x (+ 253/1000 (* 184009/1000000 x))))
(+ 1 (* x (+ 253/1000 (* x (+ 184009/1000000 (* 76914277/1000000000 x))))))
(/ -25/3 (pow x 2))
(/ -25/3 (pow x 2))
(/ -25/3 (pow x 2))
(/ -25/3 (pow x 2))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
25/3
(+ 25/3 (* 1265/72 (/ 1 x)))
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2))))
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (+ (* 16194277/207360 (/ 1 (pow x 3))) (/ 64009/1728 (pow x 2)))))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (/ 1 (pow x 2)) (+ 3/25 (* 253/1000 (/ 1 x)))))
(/ -25/3 (pow x 2))
(/ (- (* 1265/72 (/ 1 x)) 25/3) (pow x 2))
(/ (- (* 1265/72 (/ 1 x)) (+ 25/3 (/ 184009/1728 (pow x 2)))) (pow x 2))
(/ (- (+ (* 1265/72 (/ 1 x)) (* 76914277/207360 (/ 1 (pow x 3)))) (+ 25/3 (/ 184009/1728 (pow x 2)))) (pow x 2))
(/ -25/3 (pow x 2))
(/ -25/3 (pow x 2))
(/ -25/3 (pow x 2))
(/ -25/3 (pow x 2))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
25/3
(+ 25/3 (* 1265/72 (/ 1 x)))
(+ 25/3 (+ (* 1265/72 (/ 1 x)) (/ 64009/1728 (pow x 2))))
(+ 25/3 (* -1 (/ (- (* -1 (/ (+ 64009/1728 (* 16194277/207360 (/ 1 x))) x)) 1265/72) x)))
(* -9/625 (pow x 2))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(* (pow x 2) (- (* 64009/1000000 (/ 1 (pow x 2))) 9/625))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 (pow x 2))
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -3/25 x)
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* x (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* -3/25 (pow x 2))
(* -1 (* (pow x 2) (+ 3/25 (* 253/1000 (/ 1 x)))))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(* (pow x 2) (- (* -1 (/ (- 253/1000 (/ 1 x)) x)) 3/25))
(/ -25/3 (pow x 2))
(/ (- (* 1265/72 (/ 1 x)) 25/3) (pow x 2))
(/ (- (* -1 (/ (- (* 184009/1728 (/ 1 x)) 1265/72) x)) 25/3) (pow x 2))
(/ (- (* -1 (/ (- (* -1 (/ (- (* 76914277/207360 (/ 1 x)) 184009/1728) x)) 1265/72) x)) 25/3) (pow x 2))
(/ -25/3 (pow x 2))
(/ -25/3 (pow x 2))
(/ -25/3 (pow x 2))
(/ -25/3 (pow x 2))

Outputs
#s(literal 1 binary64)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(*.f64 #s(literal -1000/253 binary64) x)
(*.f64 (fma.f64 #s(literal -120000/64009 binary64) x #s(literal -1000/253 binary64)) x)
(*.f64 (fma.f64 (fma.f64 #s(literal -14400000/16194277 binary64) x #s(literal -120000/64009 binary64)) x #s(literal -1000/253 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1728000000/4097152081 binary64) x #s(literal -14400000/16194277 binary64)) x #s(literal -120000/64009 binary64)) x #s(literal -1000/253 binary64)) x)
#s(literal 64009/1000000 binary64)
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
#s(literal 1 binary64)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(*.f64 #s(literal -253/1000 binary64) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
#s(literal -253/1000 binary64)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
#s(literal 1 binary64)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 #s(literal -3/25 binary64) x)
(*.f64 #s(literal -3/25 binary64) x)
(*.f64 #s(literal -3/25 binary64) x)
(*.f64 #s(literal -3/25 binary64) x)
#s(literal -253/1000 binary64)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
#s(literal 1 binary64)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(*.f64 #s(literal -253/1000 binary64) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
#s(literal 1 binary64)
(fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(literal 1 binary64)
(fma.f64 #s(literal 253/1000 binary64) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal 184009/1000000 binary64) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 (fma.f64 #s(literal 76914277/1000000000 binary64) x #s(literal 184009/1000000 binary64)) x #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
(/.f64 #s(literal -25/3 binary64) (*.f64 x x))
(/.f64 #s(literal -25/3 binary64) (*.f64 x x))
(/.f64 #s(literal -25/3 binary64) (*.f64 x x))
(/.f64 #s(literal -25/3 binary64) (*.f64 x x))
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(literal 25/3 binary64)
(-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))
(-.f64 (+.f64 (/.f64 #s(literal 64009/1728 binary64) (*.f64 x x)) #s(literal 25/3 binary64)) (/.f64 #s(literal -1265/72 binary64) x))
(+.f64 (+.f64 (/.f64 #s(literal 16194277/207360 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 25/3 binary64)) (-.f64 (/.f64 #s(literal 64009/1728 binary64) (*.f64 x x)) (/.f64 #s(literal -1265/72 binary64) x)))
(.f64 (.f64 x x) #s(literal -9/625 binary64))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(*.f64 #s(literal -3/25 binary64) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 #s(literal -3/25 binary64) x)
(*.f64 #s(literal -3/25 binary64) x)
(*.f64 #s(literal -3/25 binary64) x)
(*.f64 #s(literal -3/25 binary64) x)
(*.f64 #s(literal -3/25 binary64) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(/.f64 #s(literal -25/3 binary64) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal 25/3 binary64)) x) x)
(/.f64 (-.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 184009/1728 binary64) x) #s(literal 1265/72 binary64)) x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (-.f64 (/.f64 #s(literal 76914277/207360 binary64) x) #s(literal 184009/1728 binary64)) x)) x)) (*.f64 x x))
(/.f64 #s(literal -25/3 binary64) (*.f64 x x))
(/.f64 #s(literal -25/3 binary64) (*.f64 x x))
(/.f64 #s(literal -25/3 binary64) (*.f64 x x))
(/.f64 #s(literal -25/3 binary64) (*.f64 x x))
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(literal 25/3 binary64)
(-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal -25/3 binary64))
(-.f64 (+.f64 (/.f64 #s(literal 64009/1728 binary64) (*.f64 x x)) #s(literal 25/3 binary64)) (/.f64 #s(literal -1265/72 binary64) x))
(-.f64 #s(literal 25/3 binary64) (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (-.f64 (/.f64 #s(literal 16194277/207360 binary64) x) #s(literal -64009/1728 binary64)) x)) x))
(.f64 (.f64 x x) #s(literal -9/625 binary64))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(fma.f64 (*.f64 x x) #s(literal -9/625 binary64) #s(literal 64009/1000000 binary64))
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(*.f64 x x)
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(*.f64 #s(literal -3/25 binary64) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 #s(literal -3/25 binary64) x)
(*.f64 #s(literal -3/25 binary64) x)
(*.f64 #s(literal -3/25 binary64) x)
(*.f64 #s(literal -3/25 binary64) x)
(*.f64 #s(literal -3/25 binary64) x)
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64))
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(/.f64 #s(literal -25/3 binary64) (*.f64 x x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 1265/72 binary64) x) #s(literal 25/3 binary64)) x) x)
(/.f64 (-.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 (/.f64 #s(literal 184009/1728 binary64) x) #s(literal 1265/72 binary64)) x)) (*.f64 x x))
(/.f64 (-.f64 #s(literal -25/3 binary64) (/.f64 (-.f64 #s(literal -1265/72 binary64) (/.f64 (-.f64 (/.f64 #s(literal 76914277/207360 binary64) x) #s(literal 184009/1728 binary64)) x)) x)) (*.f64 x x))
(/.f64 #s(literal -25/3 binary64) (*.f64 x x))
(/.f64 #s(literal -25/3 binary64) (*.f64 x x))
(/.f64 #s(literal -25/3 binary64) (*.f64 x x))
(/.f64 #s(literal -25/3 binary64) (*.f64 x x))

rewrite179.0ms (3.1%)

Memory

1.3MiB live, 199.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	183
0	53	179
1	209	179
2	1353	163
0	9016	145

Stop Event

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

Counts

16 → 406

Calls

Call 1

Inputs
(fma.f64 #s(approx (/ (neg x) (+ (* -3/25 x) 253/1000)) #s(literal 25/3 binary64)) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64))
#s(approx (/ (neg x) (+ (* -3/25 x) 253/1000)) #s(literal 25/3 binary64))
(fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64))
(*.f64 x x)
#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
(.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x)
#s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64))
#s(approx (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (.f64 (.f64 #s(literal -3/25 binary64) x) x))
(.f64 (.f64 #s(literal -3/25 binary64) x) x)
(*.f64 #s(literal -3/25 binary64) x)
(-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64))
#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 (-.f64 (.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x))
(.f64 (-.f64 (.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x)
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (/.f64 #s(literal -25/3 binary64) (*.f64 x x))))
#s(approx (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (/.f64 #s(literal -25/3 binary64) (*.f64 x x)))
(/.f64 #s(literal -25/3 binary64) (*.f64 x x))

Outputs
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eval90.0ms (1.6%)

Memory: -6.1MiB live, 179.0MiB allocated
Compiler: Compiled 20 127 to 1 582 computations (92.1% saved)

prune34.0ms (0.6%)

Memory

-8.4MiB live, 118.9MiB allocated

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	643	3	646
Fresh	2	0	2
Picked	2	3	5
Done	0	7	7
Total	647	13	660

Accuracy

100.0%

Counts

660 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
	56.3%	(fma.f64 (.f64 #s(approx (/ (neg x) (+ ( -3/25 x) 253/1000)) #s(literal 25/3 binary64)) #s(literal -9/625 binary64)) (.f64 x x) (fma.f64 #s(literal 64009/1000000 binary64) #s(approx (/ (neg x) (+ ( -3/25 x) 253/1000)) #s(literal 25/3 binary64)) #s(literal 1 binary64)))
✓	99.9%	(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
	98.1%	(fma.f64 #s(approx (/ (neg x) (+ (* -3/25 x) 253/1000)) #s(literal 25/3 binary64)) #s(approx (+ (* -9/625 (* x x)) 64009/1000000) (.f64 (.f64 x x) #s(literal -9/625 binary64))) #s(literal 1 binary64))
✓	54.8%	(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
✓	99.9%	(-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 253/1000 binary64) (.f64 (.f64 #s(literal 3/25 binary64) x) x)))
	46.9%	#s(approx (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (/.f64 (*.f64 x x) #s(literal -25/3 binary64)))
✓	47.0%	#s(approx (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (.f64 (.f64 #s(literal -3/25 binary64) x) x))
✓	48.0%	#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
✓	48.0%	#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 (-.f64 (.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x))
✓	3.7%	#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
✓	47.0%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
✓	52.9%	#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Compiler

Compiled 704 to 288 computations (59.1% saved)

regimes28.0ms (0.5%)

Memory

8.3MiB live, 85.8MiB allocated

Counts

29 → 1

Calls

Call 1

Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 #s(literal -3/25 binary64) x) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
#s(approx (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (.f64 (.f64 #s(literal -3/25 binary64) x) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 (-.f64 (.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x))
(fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (/.f64 (*.f64 x x) #s(literal -25/3 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(fma.f64 #s(approx (/ (neg x) (+ (* -3/25 x) 253/1000)) #s(literal 25/3 binary64)) #s(approx (+ (* -9/625 (* x x)) 64009/1000000) (.f64 (.f64 x x) #s(literal -9/625 binary64))) #s(literal 1 binary64))
(fma.f64 #s(approx (/ (neg x) (+ (* -3/25 x) 253/1000)) #s(literal 25/3 binary64)) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(-.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 253/1000 binary64) (.f64 (.f64 #s(literal 3/25 binary64) x) x)))
(fma.f64 (.f64 #s(approx (/ (neg x) (+ ( -3/25 x) 253/1000)) #s(literal 25/3 binary64)) #s(literal -9/625 binary64)) (.f64 x x) (fma.f64 #s(literal 64009/1000000 binary64) #s(approx (/ (neg x) (+ ( -3/25 x) 253/1000)) #s(literal 25/3 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1)) (/.f64 #s(literal -25/3 binary64) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* (+ (* -3/25 x) -253/1000) x) 1) (.f64 (.f64 #s(literal -3/25 binary64) x) x))))
#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (/.f64 (.f64 (fma.f64 #s(literal 9/625 binary64) (.f64 x x) #s(literal -64009/1000000 binary64)) x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))))
(fma.f64 (/.f64 (fma.f64 #s(literal 9/625 binary64) (*.f64 x x) #s(literal -64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) x #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (.f64 x (/.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(-.f64 #s(literal 1 binary64) (.f64 (fma.f64 #s(literal -9/625 binary64) (.f64 x x) #s(literal 64009/1000000 binary64)) (/.f64 x (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)))))
(fma.f64 (/.f64 (neg.f64 x) (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64))) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64))
(-.f64 #s(literal 1 binary64) (/.f64 x (/.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal 253/1000 binary64)) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)))))
(-.f64 #s(literal 1 binary64) (/.f64 x (pow.f64 (fma.f64 #s(literal 3/25 binary64) x #s(literal 253/1000 binary64)) #s(literal -1 binary64))))

Outputs
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))

Calls

3 calls:

10.0ms	x
10.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
7.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
99.9%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes19.0ms (0.3%)

Memory

1.6MiB live, 42.3MiB allocated

Counts

16 → 1

Calls

Call 1

Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 #s(literal -3/25 binary64) x) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
#s(approx (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (.f64 (.f64 #s(literal -3/25 binary64) x) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 (-.f64 (.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x))
(fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (/.f64 (*.f64 x x) #s(literal -25/3 binary64)))
(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
(fma.f64 #s(approx (/ (neg x) (+ (* -3/25 x) 253/1000)) #s(literal 25/3 binary64)) #s(approx (+ (* -9/625 (* x x)) 64009/1000000) (.f64 (.f64 x x) #s(literal -9/625 binary64))) #s(literal 1 binary64))
(fma.f64 #s(approx (/ (neg x) (+ (* -3/25 x) 253/1000)) #s(literal 25/3 binary64)) (fma.f64 #s(literal -9/625 binary64) (*.f64 x x) #s(literal 64009/1000000 binary64)) #s(literal 1 binary64))

Outputs
(fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))

Calls

3 calls:

7.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
6.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
5.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
99.9%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes13.0ms (0.2%)

Memory

-10.0MiB live, 29.3MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 #s(literal -3/25 binary64) x) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
#s(approx (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (.f64 (.f64 #s(literal -3/25 binary64) x) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 (-.f64 (.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x))

Outputs
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))

Calls

3 calls:

4.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
4.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
4.0ms	x

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
99.9%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes11.0ms (0.2%)

Memory

24.6MiB live, 24.6MiB allocated

Counts

9 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 #s(literal -3/25 binary64) x) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
#s(approx (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (.f64 (.f64 #s(literal -3/25 binary64) x) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))
#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))

Outputs

#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))

#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x))

Calls

3 calls:

3.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
3.0ms	x
3.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
99.1%	3	`x`
99.1%	2	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
99.1%	2	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes7.0ms (0.1%)

Memory

-24.7MiB live, 14.2MiB allocated

Counts

7 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 #s(literal -3/25 binary64) x) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64)))
#s(approx (/ 1 (/ 1 (+ (* (+ (* -3/25 x) -253/1000) x) 1))) (.f64 (.f64 #s(literal -3/25 binary64) x) x))

Outputs

#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 x x) #s(literal -3/25 binary64)))

#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))

Calls

2 calls:

4.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
3.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
98.8%	2	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
98.8%	2	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 16 to 14 computations (12.5% saved)

regimes5.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 #s(literal -3/25 binary64) x) x))

Outputs

#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (*.f64 #s(literal -3/25 binary64) x) x))

#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))

Calls

2 calls:

2.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
2.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
98.8%	2	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`
98.8%	2	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`

Compiler

Compiled 16 to 14 computations (12.5% saved)

regimes7.0ms (0.1%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))
#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (.f64 #s(approx (+ ( -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(fma.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x #s(literal 1 binary64))

Outputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))

Calls

3 calls:

2.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
2.0ms	x
2.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))

Results

Accuracy	Segments	Branch
54.8%	1	`x`
54.8%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
54.8%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 17 to 15 computations (11.8% saved)

regimes6.0ms (0.1%)

Memory

-27.8MiB live, 11.4MiB allocated

Accuracy

Total -32.3b remaining (-107.1%)

Threshold costs -32.3b (-107.1%)

Counts

2 → 1

Calls

Call 1

Inputs

#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

#s(approx (- 1 (* x (/ (+ (* -9/625 (* x x)) 64009/1000000) (+ (* -3/25 x) 253/1000)))) (*.f64 #s(approx (+ (* -3/25 x) -253/1000) #s(literal -253/1000 binary64)) x))

Outputs
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Calls

3 calls:

2.0ms	(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))
2.0ms	(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))
2.0ms	x

Results

Accuracy	Segments	Branch
52.9%	1	`x`
52.9%	1	`(-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))))`
52.9%	1	`(.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))`

Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	9.093615295016313e-12	6023.943877509885

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6022.943877509885	0.9999999999909064

Compiler

Compiled 12 to 12 computations (0% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-6022.943877509885	0.9999999999909064

Compiler

Compiled 12 to 12 computations (0% saved)

simplify46.0ms (0.8%)

Memory

-25.2MiB live, 79.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	171
1	54	171
2	68	171
3	79	171
4	93	171
5	98	171
6	101	171
7	102	171

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(if (<=.f64 (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64)))) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #s(literal -5000 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 x x) #s(literal -3/25 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 x (+.f64 #s(literal 253/1000 binary64) (.f64 x #s(literal 3/25 binary64))))) #s(literal -5000 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 #s(literal -3/25 binary64) x) x)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

Outputs
(fma.f64 (*.f64 x x) #s(literal -3/25 binary64) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
(fma.f64 (-.f64 (*.f64 #s(literal -3/25 binary64) x) #s(literal 253/1000 binary64)) x #s(literal 1 binary64))
(fma.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x #s(literal 1 binary64))
(if (<=.f64 (.f64 (+.f64 (.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64)) x) #s(literal 6189700196426901/618970019642690137449562112 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (*.f64 (fma.f64 #s(literal -3/25 binary64) x #s(literal -253/1000 binary64)) x)))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64)) x)) #s(literal -5000 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 #s(literal -3/25 binary64) (.f64 x x))) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))))
(if (<=.f64 (-.f64 #s(literal 1 binary64) (.f64 (+.f64 (.f64 #s(literal 3/25 binary64) x) #s(literal 253/1000 binary64)) x)) #s(literal -5000 binary64)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (.f64 (.f64 #s(literal -3/25 binary64) x) x)) #s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64))))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) (fma.f64 #s(literal -253/1000 binary64) x #s(literal 1 binary64)))
#s(approx (- 1 (* x (+ 253/1000 (* x 3/25)))) #s(literal 1 binary64))

soundness811.0ms (14.1%)

Memory

19.3MiB live, 404.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	254
1	93	254
2	217	248
3	501	248
4	1018	248
5	2385	248
6	4087	248
7	5187	248
8	6479	248
9	7508	248
0	8107	215
0	25	107
0	40	109
1	191	105
2	1605	105
0	8470	103
0	8	24
0	12	24
1	55	24
2	428	24
3	4320	24
0	8270	20

Stop Event

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

Compiler

Compiled 284 to 130 computations (54.2% saved)

preprocess57.0ms (1%)

Memory: 11.8MiB live, 88.9MiB allocated
Compiler: Compiled 360 to 96 computations (73.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	10	21
1	36	18
2	117	18
3	349	18
4	613	18
5	713	18
6	735	18
7	743	18
0	8	9
0	12	9
1	28	9
2	66	9
3	131	9
4	224	9
5	344	9
6	479	9
7	630	9
8	652	9
0	652	7

Iter	Nodes	Cost
0	8	28
0	12	28
1	28	28
2	66	28
3	131	28
4	224	28
5	344	28
6	479	28
7	630	28
8	652	28
0	652	24

Iter	Nodes	Cost
0	10	21
1	36	18
2	117	18
3	349	18
4	613	18
5	713	18
6	735	18
7	743	18
0	8	9
0	12	9
1	28	9
2	66	9
3	131	9
4	224	9
5	344	9
6	479	9
7	630	9
8	652	9
0	652	7

Iter	Nodes	Cost
0	8	28
0	12	28
1	28	28
2	66	28
3	131	28
4	224	28
5	344	28
6	479	28
7	630	28
8	652	28
0	652	24

start0.0ms (0%)

analyze0.0ms (0%)

sample1.2s (21.1%)

explain127.0ms (2.2%)

preprocess44.0ms (0.8%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify42.0ms (0.7%)

localize59.0ms (1%)

series32.0ms (0.6%)

simplify141.0ms (2.5%)

rewrite213.0ms (3.7%)

eval85.0ms (1.5%)

prune41.0ms (0.7%)

simplify139.0ms (2.4%)

localize123.0ms (2.1%)

series50.0ms (0.9%)

simplify148.0ms (2.6%)

rewrite236.0ms (4.1%)

eval201.0ms (3.5%)

prune26.0ms (0.4%)

simplify180.0ms (3.1%)

localize134.0ms (2.3%)

series17.0ms (0.3%)

simplify161.0ms (2.8%)

rewrite179.0ms (3.1%)

eval191.0ms (3.3%)

prune32.0ms (0.6%)

simplify294.0ms (5.1%)

localize98.0ms (1.7%)

series36.0ms (0.6%)

simplify206.0ms (3.6%)

rewrite179.0ms (3.1%)

eval90.0ms (1.6%)

prune34.0ms (0.6%)

regimes28.0ms (0.5%)

regimes19.0ms (0.3%)

regimes13.0ms (0.2%)

regimes11.0ms (0.2%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify46.0ms (0.8%)

soundness811.0ms (14.1%)

preprocess57.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	10	21
1	36	18
2	117	18
3	349	18
4	613	18
5	713	18
6	735	18
7	743	18
0	8	9
0	12	9
1	28	9
2	66	9
3	131	9
4	224	9
5	344	9
6	479	9
7	630	9
8	652	9
0	652	7

Iter	Nodes	Cost
0	8	28
0	12	28
1	28	28
2	66	28
3	131	28
4	224	28
5	344	28
6	479	28
7	630	28
8	652	28
0	652	24