Metrics for Data.Colour.CIE:cieLABView from colour-2.3.3, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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 11 computations (0% saved)

sample978.0ms (16.8%)

Memory

16.7MiB live, 1 010.1MiB allocated

Samples

543.0ms	8 252×	0	valid
9.0ms	3×	2	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 322.0ms

ival-div: 197.0ms (61.2% of total)

ival-mult: 66.0ms (20.5% of total)

ival-add: 36.0ms (11.2% of total)

exact: 14.0ms (4.3% of total)

ival-true: 6.0ms (1.9% of total)

ival-assert: 3.0ms (0.9% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain158.0ms (2.7%)

Memory

20.9MiB live, 137.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 108 binary64)`
-	-	`(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))`
-	-	`#s(literal 841 binary64)`
-	-	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`
-	-	`#s(literal 4 binary64)`
-	-	`(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))`
-	-	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
-	-	`#s(literal 29 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

33.0ms

512×

valid

Compiler

Compiled 63 to 31 computations (50.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 8.0ms (50.9% of total)

ival-mult: 4.0ms (25.5% of total)

ival-add: 2.0ms (12.7% of total)

exact: 1.0ms (6.4% of total)

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

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

preprocess17.0ms (0.3%)

Memory

-2.9MiB live, 33.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	27	10
2	58	10
3	103	10
4	140	10
5	153	10
6	161	10
0	9	5
0	15	5
1	17	5
0	17	4

Stop Event

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

Calls

Call 1

Inputs
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))

Outputs
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))

Compiler

Compiled 9 to 9 computations (0% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

1.3MiB live, 1.3MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))

Compiler

Compiled 9 to 9 computations (0% saved)

simplify3.0ms (0.1%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
cost-diff	128	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
cost-diff	704	(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
cost-diff	704	(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	15
0	15	15
1	17	15
0	17	14

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
#s(literal 841 binary64)
#s(literal 108 binary64)
x
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
#s(literal 4 binary64)
#s(literal 29 binary64)

Outputs
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
(*.f64 x #s(literal 841/108 binary64))
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
#s(literal 841/108 binary64)
#s(literal 841 binary64)
#s(literal 108 binary64)
x
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
#s(literal 4/29 binary64)
#s(literal 4 binary64)
#s(literal 29 binary64)

localize47.0ms (0.8%)

Memory

-41.5MiB live, 47.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
accuracy	0	(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
accuracy	0.01171875	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
accuracy	0.1328125	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)

Samples

28.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-add: 14.0ms (70% of total)

ival-div: 4.0ms (20% of total)

ival-mult: 2.0ms (10% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

4 → 24

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) (patch (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)) (patch (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)) #<representation binary64>) () ())
#s(alt (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())

Outputs
#s(alt 4/29 (taylor 0 x) (#s(alt (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor inf x) (#s(alt (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor inf x) (#s(alt (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) (patch (+.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (patch (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))
1.0ms	x	@	-inf	((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))
0.0ms	x	@	0	((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))

Time

Variable

Point

Expression

1.0ms

inf

((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))

1.0ms

-inf

((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))

0.0ms

((/ 841 108) (/ 4 29) (+ (* (/ 841 108) x) (/ 4 29)) (* (/ 841 108) x))

simplify5.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	88
1	24	88
2	37	88
3	49	88
4	49	88
5	64	88
6	70	88
7	74	88
8	74	88
0	74	79

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))

rewrite244.0ms (4.2%)

Memory

4.5MiB live, 202.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
0	15	10
1	32	10
2	157	10
3	1219	10
0	8380	9

Stop Event

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

Counts

4 → 221

Calls

Call 1

Inputs
(/.f64 #s(literal 841 binary64) #s(literal 108 binary64))
(/.f64 #s(literal 4 binary64) #s(literal 29 binary64))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)

Outputs
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eval40.0ms (0.7%)

Memory: 9.4MiB live, 45.9MiB allocated
Compiler: Compiled 5 675 to 647 computations (88.6% saved)

prune107.0ms (1.8%)

Memory

-17.7MiB live, 19.1MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	238	7	245
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	239	7	246

Accuracy

100.0%

Counts

246 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
▶	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
	76.6%	(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
	76.6%	(/.f64 (-.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
▶	99.8%	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
▶	54.5%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))
▶	46.4%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 114 to 100 computations (12.3% saved)

simplify8.0ms (0.1%)

Memory

9.4MiB live, 9.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
cost-diff	1408	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
cost-diff	0	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
cost-diff	0	(*.f64 x #s(literal 841/108 binary64))
cost-diff	0	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))
cost-diff	0	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
cost-diff	0	(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
cost-diff	0	(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
cost-diff	0	(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
cost-diff	0	(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	102
0	40	96
1	57	96
2	81	96
3	101	96
4	105	96
5	138	96
6	151	96
7	163	96
0	163	96

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
x
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
#s(literal -707281/11664 binary64)
(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
#s(literal -16/841 binary64)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))
(*.f64 x #s(literal 841/108 binary64))
x
#s(literal 841/108 binary64)
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
x
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
x
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)

Outputs
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(fma.f64 (*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x (/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))))
x
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64))
#s(literal -707281/11664 binary64)
(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(/.f64 #s(literal -16/841 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
#s(literal -16/841 binary64)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x))
(*.f64 x #s(literal 841/108 binary64))
(*.f64 #s(literal 841/108 binary64) x)
x
#s(literal 841/108 binary64)
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
x
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) x #s(literal 4/29 binary64))
x
#s(literal 841/108 binary64)
#s(literal 4/29 binary64)

localize156.0ms (2.7%)

Memory

9.4MiB live, 96.8MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0.078125	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
accuracy	0.15234375	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
accuracy	0.15625	(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
accuracy	0.078125	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
accuracy	0.1328125	(*.f64 x #s(literal 841/108 binary64))
accuracy	29.024192179525574	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))
accuracy	34.28757663987082	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
accuracy	0.0859375	(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
accuracy	0.09765625	(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	0.11328125	(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
accuracy	0.346698779305326	(/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))

Samples

139.0ms	251×	0	valid
2.0ms	4×	1	valid
1.0ms	1×	2	valid

Compiler

Compiled 118 to 30 computations (74.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 101.0ms

const: 76.0ms (74.9% of total)

ival-div: 10.0ms (9.9% of total)

ival-mult: 8.0ms (7.9% of total)

ival-add: 7.0ms (6.9% of total)

exact: 1.0ms (1% of total)

adjust: 0.0ms (0% of total)

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

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

series197.0ms (3.4%)

Memory

-23.9MiB live, 14.5MiB allocated

Counts

11 → 132

Calls

Call 1

Inputs
#s(alt (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (patch (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (patch (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (patch (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (.f64 x #s(literal 841/108 binary64))) (patch #s(approx (+ ( (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 841/108 binary64)) (patch (.f64 x #s(literal 841/108 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #<representation binary64>) () ())

Outputs
#s(alt 4/29 (taylor 0 x) (#s(alt (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (patch (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (patch (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (patch (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (patch (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -20511149/46656 x) (taylor 0 x) (#s(alt (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (patch (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -500246412961/20155392 x) 20511149/46656)) (taylor 0 x) (#s(alt (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (patch (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)) (taylor 0 x) (#s(alt (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (patch (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656)) (taylor 0 x) (#s(alt (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (patch (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 29/4 x) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 29/4 (* 707281/1728 x))) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x))))) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x))))))) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt 4/29 (taylor 0 x) (#s(alt (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (patch (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
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#s(alt (/ (- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1728/707281 x) (taylor inf x) (#s(alt (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x) (taylor inf x) (#s(alt (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x) (taylor inf x) (#s(alt (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (patch (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) (patch (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))) #<representation binary64>) () ())) ())
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#s(alt 841/108 (taylor -inf x) (#s(alt (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (patch (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x))) (taylor -inf x) (#s(alt (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (patch (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt -108/841 (taylor -inf x) (#s(alt (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 108/841 (* 46656/20511149 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 841/108 x) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) (patch #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (.f64 x #s(literal 841/108 binary64))) (patch #s(approx (+ ( (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64))) #<representation binary64>) () ())) ())
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#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 841/108 binary64)) (patch (.f64 x #s(literal 841/108 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 841/108 binary64)) (patch (.f64 x #s(literal 841/108 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 841/108 binary64)) (patch (.f64 x #s(literal 841/108 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 841/108 binary64)) (patch (.f64 x #s(literal 841/108 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) (patch (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ -108/841 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -1728/707281 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x)) (taylor -inf x) (#s(alt (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (patch (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
187.0ms	x	@	-inf	((+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (/ 841 108) x) (/ 4 29)) (* x 841/108) (+ (* x 841/108) 4/29) (/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (/ -16/841 (+ (* x 841/108) -4/29)))
3.0ms	x	@	inf	((+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (/ 841 108) x) (/ 4 29)) (* x 841/108) (+ (* x 841/108) 4/29) (/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (/ -16/841 (+ (* x 841/108) -4/29)))
3.0ms	x	@	0	((+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (/ 841 108) x) (/ 4 29)) (* x 841/108) (+ (* x 841/108) 4/29) (/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (/ -16/841 (+ (* x 841/108) -4/29)))

Time

Variable

Point

Expression

187.0ms

-inf

((+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (/ 841 108) x) (/ 4 29)) (* x 841/108) (+ (* x 841/108) 4/29) (/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (/ -16/841 (+ (* x 841/108) -4/29)))

3.0ms

inf

((+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (/ 841 108) x) (/ 4 29)) (* x 841/108) (+ (* x 841/108) 4/29) (/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (/ -16/841 (+ (* x 841/108) -4/29)))

3.0ms

((+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* (/ 841 108) x) (/ 4 29)) (* x 841/108) (+ (* x 841/108) 4/29) (/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (/ -16/841 (+ (* x 841/108) -4/29)))

simplify321.0ms (5.5%)

Memory

18.3MiB live, 204.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	188	774
1	528	755
2	1154	748
3	2290	744
4	4726	740
0	8159	662

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* -20511149/46656 x)
(* x (- (* -500246412961/20155392 x) 20511149/46656))
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(* 29/4 x)
(* x (+ 29/4 (* 707281/1728 x)))
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
4/29
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
-29/4
(- (* 707281/1728 x) 29/4)
(- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4)
(- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
841/108
(+ 841/108 (* 4/29 (/ 1 x)))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))
-108/841
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* 841/108 x)
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(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
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(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
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(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
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(* x (+ 841/108 (* 4/29 (/ 1 x))))
(/ -108/841 x)
(/ (- (* 46656/20511149 (/ 1 x)) 108/841) x)
(/ (- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x)
(/ (- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x)
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
841/108
(+ 841/108 (* 4/29 (/ 1 x)))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
-108/841
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(* -841/108 x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
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(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
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(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
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(/ -108/841 x)
(* -1 (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x))
(* -1 (/ (+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x))) x))
(* -1 (/ (+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x))) x))
(/ -1728/707281 x)
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Outputs
4/29
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(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
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(* -20511149/46656 x)
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(*.f64 (fma.f64 (fma.f64 #s(literal -12200509765705829/8707129344 binary64) x #s(literal -500246412961/20155392 binary64)) x #s(literal -20511149/46656 binary64)) x)
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(* 29/4 x)
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(*.f64 (fma.f64 (fma.f64 #s(literal 17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x)
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4/29
#s(literal 4/29 binary64)
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4/29
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4/29
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4/29
#s(literal 4/29 binary64)
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4/29
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-29/4
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(- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4)
(fma.f64 (fma.f64 #s(literal -17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x #s(literal -29/4 binary64))
(- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4)
(fma.f64 (fma.f64 (fma.f64 #s(literal 420707233300201/322486272 binary64) x #s(literal -17249876309/746496 binary64)) x #s(literal 707281/1728 binary64)) x #s(literal -29/4 binary64))
4/29
#s(literal 4/29 binary64)
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(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
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(fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
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(fma.f64 (fma.f64 (fma.f64 #s(literal 500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(* 841/108 x)
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841/108
#s(literal 841/108 binary64)
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-108/841
#s(literal -108/841 binary64)
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(* -841/108 x)
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(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
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(* 841/108 x)
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(* x (+ 841/108 (* 4/29 (/ 1 x))))
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(* 841/108 x)
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(* 841/108 x)
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(* 841/108 x)
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(* 841/108 x)
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(* 841/108 x)
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(/ -108/841 x)
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(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x) #s(literal 108/841 binary64)) x)
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(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
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(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (+.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal 322486272/420707233300201 binary64)) x)) x) #s(literal 1728/707281 binary64)) x)
(* 841/108 x)
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841/108
#s(literal 841/108 binary64)
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-108/841
#s(literal -108/841 binary64)
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(* -841/108 x)
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(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(* -1 (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x))
(/.f64 (-.f64 (/.f64 #s(literal 46656/20511149 binary64) x) #s(literal 108/841 binary64)) x)
(* -1 (/ (+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x) #s(literal 108/841 binary64)) x)
(* -1 (/ (+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x) #s(literal 108/841 binary64)) x)
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal 746496/17249876309 binary64)) x)) x)
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (+.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal 322486272/420707233300201 binary64)) x)) x) #s(literal 1728/707281 binary64)) x)

rewrite356.0ms (6.1%)

Memory

1.6MiB live, 440.6MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	77
0	40	95
1	144	95
2	905	59
0	9174	59

Stop Event

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

Counts

11 → 1 213

Calls

Call 1

Inputs
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))
(*.f64 x #s(literal 841/108 binary64))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64)))
(/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))

Outputs
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eval500.0ms (8.6%)

Memory: -114.7MiB live, 405.2MiB allocated
Compiler: Compiled 43 392 to 2 685 computations (93.8% saved)

prune33.0ms (0.6%)

Memory

2.1MiB live, 118.0MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1 635	2	1 637
Fresh	0	2	2
Picked	2	3	5
Done	0	0	0
Total	1 637	7	1 644

Accuracy

100.0%

Counts

1 644 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.7%	(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64)))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	76.6%	(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
▶	76.6%	(/.f64 (-.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
▶	54.3%	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
✓	54.5%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))
✓	46.4%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 51 to 45 computations (11.8% saved)

simplify64.0ms (1.1%)

Memory

-0.4MiB live, 44.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
cost-diff	0	(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
cost-diff	0	(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
cost-diff	0	(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64)))
cost-diff	0	(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
cost-diff	0	(*.f64 #s(literal 707281/11664 binary64) x)
cost-diff	0	(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
cost-diff	0	(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
cost-diff	0	(/.f64 (-.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
cost-diff	128	(-.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64))
cost-diff	0	(/.f64 #s(literal -108/841 binary64) x)
cost-diff	0	#s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	143
0	48	144
1	72	144
2	94	144
3	106	144
4	122	144
5	173	144
6	271	144
7	431	142
8	795	142
9	1740	142
10	1996	142
11	2165	142
12	2235	142
13	2280	142
14	2289	142
0	2289	139

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
#s(literal -1 binary64)
#s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
(/.f64 #s(literal -108/841 binary64) x)
#s(literal -108/841 binary64)
x
(/.f64 (-.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(-.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64))
(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
#s(literal -707281/11664 binary64)
(*.f64 x x)
x
#s(literal -16/841 binary64)
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
x
#s(literal -16/841 binary64)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64)))
x
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
#s(literal -707281/11664 binary64)
(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
#s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64))

Outputs
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
#s(literal -1 binary64)
#s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
(/.f64 #s(literal -108/841 binary64) x)
#s(literal -108/841 binary64)
x
(/.f64 (-.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(-.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
#s(literal -707281/11664 binary64)
(*.f64 x x)
x
#s(literal -16/841 binary64)
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64)))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)
#s(literal 707281/11664 binary64)
x
#s(literal -16/841 binary64)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(fma.f64 #s(literal 841/108 binary64) x #s(literal -4/29 binary64))
#s(literal 841/108 binary64)
#s(literal -4/29 binary64)
(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64)))
(fma.f64 (.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) x #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64)))
x
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64))
#s(literal -707281/11664 binary64)
(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
#s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64))

localize195.0ms (3.4%)

Memory

4.0MiB live, 162.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score
accuracy	0.0859375	(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64)))
accuracy	0.09765625	(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	0.11328125	(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
accuracy	33.87512370445791	#s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64))
accuracy	0.0625	(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
accuracy	0.0703125	(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
accuracy	0.2109375	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	14.972703150888842	(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
accuracy	0.01171875	(-.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64))
accuracy	0.0703125	(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
accuracy	0.18839382300974952	(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
accuracy	14.972703150888842	(/.f64 (-.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	0.15234375	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
accuracy	0.28125	(/.f64 #s(literal -108/841 binary64) x)
accuracy	29.21832524485105	#s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))

Samples

175.0ms	251×	0	valid
2.0ms	4×	1	valid
1.0ms	1×	2	valid

Compiler

Compiled 146 to 33 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-add: 103.0ms (63.5% of total)

const: 25.0ms (15.4% of total)

ival-mult: 19.0ms (11.7% of total)

ival-div: 14.0ms (8.6% of total)

ival-sub: 1.0ms (0.6% 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)

series13.0ms (0.2%)

Memory

17.1MiB live, 17.1MiB allocated

Counts

16 → 192

Calls

Call 1

Inputs
#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) (patch #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -108/841 binary64) x) (patch (/.f64 #s(literal -108/841 binary64) x) #<representation binary64>) () ())
#s(alt (-.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (patch (-.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 (-.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) (patch (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) (patch (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (patch (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 707281/11664 binary64) x) (patch (.f64 #s(literal 707281/11664 binary64) x) #<representation binary64>) () ())
#s(alt (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) (patch (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (patch (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (patch (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)) (patch #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())

Outputs
#s(alt 4/29 (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) (patch (/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))) #<representation binary64>) () ())) ())
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#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
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#s(alt (* 707281/11664 x) (taylor 0 x) (#s(alt (.f64 #s(literal 707281/11664 binary64) x) (patch (.f64 #s(literal 707281/11664 binary64) x) #<representation binary64>) () ())) ())
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Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

inf

((/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (/ -108/841 x) (- (* -707281/11664 (* x x)) -16/841) (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (* -707281/11664 (* x x)) (* x x) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* 707281/11664 x) (+ (* x 841/108) -4/29) (+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (/ -16/841 (+ (* x 841/108) -4/29)))

2.0ms

-inf

((/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (/ -108/841 x) (- (* -707281/11664 (* x x)) -16/841) (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (* -707281/11664 (* x x)) (* x x) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* 707281/11664 x) (+ (* x 841/108) -4/29) (+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (/ -16/841 (+ (* x 841/108) -4/29)))

2.0ms

((/ -1 (/ -1 (+ (* x 841/108) 4/29))) (/ -1 (+ (* x 841/108) 4/29)) (/ -108/841 x) (- (* -707281/11664 (* x x)) -16/841) (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (* -707281/11664 (* x x)) (* x x) (/ (+ (* (* 707281/11664 x) x) -16/841) (+ (* x 841/108) -4/29)) (+ (* (* 707281/11664 x) x) -16/841) (* 707281/11664 x) (+ (* x 841/108) -4/29) (+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (/ -16/841 (+ (* x 841/108) -4/29)))

simplify311.0ms (5.4%)

Memory

-10.6MiB live, 145.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	206	1054
1	566	1035
2	1247	1028
3	2483	1024
4	5208	1020
0	8118	924

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
-29/4
(- (* 707281/1728 x) 29/4)
(- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4)
(- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4)
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
-16/841
(- (* 707281/11664 (pow x 2)) 16/841)
(- (* 707281/11664 (pow x 2)) 16/841)
(- (* 707281/11664 (pow x 2)) 16/841)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
-4/29
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
(- (* 841/108 x) 4/29)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* -20511149/46656 x)
(* x (- (* -500246412961/20155392 x) 20511149/46656))
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(* 29/4 x)
(* x (+ 29/4 (* 707281/1728 x)))
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
4/29
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(/ -108/841 x)
(/ (- (* 46656/20511149 (/ 1 x)) 108/841) x)
(/ (- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x)
(/ (- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x)
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 841/108 x)
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
841/108
(+ 841/108 (* 4/29 (/ 1 x)))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))
-108/841
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(/ -108/841 x)
(* -1 (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x))
(* -1 (/ (+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x))) x))
(* -1 (/ (+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x))) x))
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
(/ -108/841 x)
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* 707281/11664 (pow x 2))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 841/108 x)
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
841/108
(+ 841/108 (* 4/29 (/ 1 x)))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
-108/841
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(* -841/108 x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
-29/4
#s(literal -29/4 binary64)
(- (* 707281/1728 x) 29/4)
(fma.f64 #s(literal 707281/1728 binary64) x #s(literal -29/4 binary64))
(- (* x (+ 707281/1728 (* -17249876309/746496 x))) 29/4)
(fma.f64 (fma.f64 #s(literal -17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x #s(literal -29/4 binary64))
(- (* x (+ 707281/1728 (* x (- (* 420707233300201/322486272 x) 17249876309/746496)))) 29/4)
(fma.f64 (fma.f64 (fma.f64 #s(literal 420707233300201/322486272 binary64) x #s(literal -17249876309/746496 binary64)) x #s(literal 707281/1728 binary64)) x #s(literal -29/4 binary64))
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
-16/841
#s(literal -16/841 binary64)
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))
(- (* 707281/11664 (pow x 2)) 16/841)
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
-4/29
#s(literal -4/29 binary64)
(- (* 841/108 x) 4/29)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(- (* 841/108 x) 4/29)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* -20511149/46656 x)
(*.f64 #s(literal -20511149/46656 binary64) x)
(* x (- (* -500246412961/20155392 x) 20511149/46656))
(*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x)
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(*.f64 (fma.f64 (fma.f64 #s(literal -12200509765705829/8707129344 binary64) x #s(literal -500246412961/20155392 binary64)) x #s(literal -20511149/46656 binary64)) x)
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -297558232675799463481/3761479876608 binary64) x #s(literal -12200509765705829/8707129344 binary64)) x #s(literal -500246412961/20155392 binary64)) x #s(literal -20511149/46656 binary64)) x)
(* 29/4 x)
(*.f64 #s(literal 29/4 binary64) x)
(* x (+ 29/4 (* 707281/1728 x)))
(*.f64 (fma.f64 #s(literal 707281/1728 binary64) x #s(literal 29/4 binary64)) x)
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x)
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 420707233300201/322486272 binary64) x #s(literal 17249876309/746496 binary64)) x #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ (- (* 46656/20511149 (/ 1 x)) 108/841) x)
(/.f64 (-.f64 (/.f64 #s(literal 46656/20511149 binary64) x) #s(literal 108/841 binary64)) x)
(/ (- (* 46656/20511149 (/ 1 x)) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x) #s(literal 108/841 binary64)) x)
(/ (- (+ (* 46656/20511149 (/ 1 x)) (* 8707129344/12200509765705829 (/ 1 (pow x 3)))) (+ 108/841 (/ 20155392/500246412961 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x) #s(literal 108/841 binary64)) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* 707281/11664 (pow x 2))
(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(* x (- 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
841/108
#s(literal 841/108 binary64)
(+ 841/108 (* 4/29 (/ 1 x)))
(+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(-.f64 (+.f64 (/.f64 #s(literal 1728/707281 binary64) (*.f64 x x)) #s(literal 841/108 binary64)) (/.f64 #s(literal -4/29 binary64) x))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))
(+.f64 (+.f64 (/.f64 #s(literal 746496/17249876309 binary64) (pow.f64 x #s(literal 3 binary64))) #s(literal 841/108 binary64)) (-.f64 (/.f64 #s(literal 1728/707281 binary64) (*.f64 x x)) (/.f64 #s(literal -4/29 binary64) x)))
-108/841
#s(literal -108/841 binary64)
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 (/.f64 #s(literal -46656/20511149 binary64) x) #s(literal 108/841 binary64))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(-.f64 #s(literal -108/841 binary64) (/.f64 (-.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal -46656/20511149 binary64)) x))
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x) #s(literal 46656/20511149 binary64)) x) #s(literal 108/841 binary64))
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal 746496/17249876309 binary64)) x)) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (+.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal 322486272/420707233300201 binary64)) x)) x) #s(literal 1728/707281 binary64)) x)
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(* -1 (/ (- 108/841 (* 46656/20511149 (/ 1 x))) x))
(/.f64 (-.f64 (/.f64 #s(literal 46656/20511149 binary64) x) #s(literal 108/841 binary64)) x)
(* -1 (/ (+ 108/841 (* -1 (/ (- 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 #s(literal 20155392/500246412961 binary64) x)) x) #s(literal 108/841 binary64)) x)
(* -1 (/ (+ 108/841 (* -1 (/ (+ 46656/20511149 (* -1 (/ (- 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) x))) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal 46656/20511149 binary64) (/.f64 (-.f64 #s(literal 20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x)) x) #s(literal 108/841 binary64)) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(/ -108/841 x)
(/.f64 #s(literal -108/841 binary64) x)
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* 707281/11664 (pow x 2))
(.f64 #s(literal 707281/11664 binary64) (.f64 x x))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))
(* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 707281/11664 binary64) (*.f64 x x) #s(literal -16/841 binary64))
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 707281/11664 x)
(*.f64 #s(literal 707281/11664 binary64) x)
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(* -1 (* x (- (* 4/29 (/ 1 x)) 841/108)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
841/108
#s(literal 841/108 binary64)
(+ 841/108 (* 4/29 (/ 1 x)))
(+.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal 841/108 binary64))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(-.f64 (+.f64 (/.f64 #s(literal 1728/707281 binary64) (*.f64 x x)) #s(literal 841/108 binary64)) (/.f64 #s(literal -4/29 binary64) x))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(-.f64 #s(literal 841/108 binary64) (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 (-.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal -1728/707281 binary64)) x)) x))
-108/841
#s(literal -108/841 binary64)
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 (/.f64 #s(literal -46656/20511149 binary64) x) #s(literal 108/841 binary64))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(-.f64 #s(literal -108/841 binary64) (/.f64 (-.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal -46656/20511149 binary64)) x))
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x) #s(literal 46656/20511149 binary64)) x) #s(literal 108/841 binary64))
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 (+.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal 746496/17249876309 binary64)) x)) x)
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (+.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal 322486272/420707233300201 binary64)) x)) x) #s(literal 1728/707281 binary64)) x)

rewrite177.0ms (3.1%)

Memory

-8.3MiB live, 268.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	122
0	48	123
1	188	123
2	1369	109
0	9526	104

Stop Event

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

Counts

16 → 1 174

Calls

Call 1

Inputs
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
#s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x))
(/.f64 #s(literal -108/841 binary64) x)
(-.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64))
(/.f64 (-.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
(*.f64 x x)
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
(*.f64 #s(literal 707281/11664 binary64) x)
(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64)))
(*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))))
(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
#s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64))

Outputs
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eval197.0ms (3.4%)

Memory: 30.9MiB live, 335.8MiB allocated
Compiler: Compiled 31 922 to 2 710 computations (91.5% saved)

prune159.0ms (2.7%)

Memory

-20.9MiB live, 103.5MiB allocated

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	1 444	2	1 446
Fresh	0	0	0
Picked	3	1	4
Done	0	3	3
Total	1 447	6	1 453

Accuracy

100.0%

Counts

1 453 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64)))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	31.3%	(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
✓	54.3%	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
✓	54.5%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))
✓	46.4%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 39 to 36 computations (7.7% saved)

simplify6.0ms (0.1%)

Memory

11.5MiB live, 11.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
cost-diff	0	#s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))
cost-diff	0	(/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
cost-diff	0	(.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))))
cost-diff	0	(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
cost-diff	0	#s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64)))
cost-diff	0	(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	116
0	35	116
1	52	116
2	65	116
3	71	116
4	74	116
0	74	112

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
#s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64)))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(*.f64 x x)
x
#s(literal -707281/11664 binary64)
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64)))
x
(.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))))
#s(literal -707281/11664 binary64)
(/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
#s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))
(*.f64 #s(literal -841/108 binary64) x)
#s(literal -841/108 binary64)
#s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)

Outputs
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x #s(literal -707281/11664 binary64)) x)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
#s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64)))
#s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x #s(literal -707281/11664 binary64)) x))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(.f64 (.f64 x #s(literal -707281/11664 binary64)) x)
(*.f64 x x)
x
#s(literal -707281/11664 binary64)
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
#s(literal -841/108 binary64)
#s(literal 4/29 binary64)
(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64)))
(fma.f64 (/.f64 (.f64 x #s(literal -707281/11664 binary64)) #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x))) x #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64)))
x
(.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))))
(/.f64 (.f64 x #s(literal -707281/11664 binary64)) #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
#s(literal -707281/11664 binary64)
(/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
#s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))
(*.f64 #s(literal -841/108 binary64) x)
#s(literal -841/108 binary64)
#s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64))
#s(literal 4/29 binary64)

localize97.0ms (1.7%)

Memory

-19.0MiB live, 118.4MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.11328125	(.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))))
accuracy	0.1328125	(*.f64 #s(literal -841/108 binary64) x)
accuracy	28.860980627008036	#s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))
accuracy	33.87512370445791	#s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64))
accuracy	0.0703125	(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
accuracy	0.18839382300974952	(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
accuracy	14.972703150888842	(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	28.995322273249332	#s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64)))

Samples

71.0ms	251×	0	valid
1.0ms	4×	1	valid
0.0ms	1×	2	valid

Compiler

Compiled 93 to 23 computations (75.3% saved)

Precisions

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

const: 38.0ms (61.1% of total)

ival-mult: 14.0ms (22.5% of total)

ival-div: 5.0ms (8% of total)

ival-add: 3.0ms (4.8% of total)

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

adjust: 0.0ms (0% of total)

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

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

series9.0ms (0.1%)

Memory

19.1MiB live, 19.1MiB allocated

Counts

11 → 132

Calls

Call 1

Inputs
#s(alt (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (patch #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal -707281/11664 binary64)) (patch (.f64 (.f64 x x) #s(literal -707281/11664 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) (patch (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))) #<representation binary64>) () ())
#s(alt (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x))) (patch (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)) (patch #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (patch (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)) (patch #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal -841/108 binary64) x) (patch (.f64 #s(literal -841/108 binary64) x) #<representation binary64>) () ())

Outputs
#s(alt 4/29 (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt 16/841 (taylor 0 x) (#s(alt #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (patch #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 16/841 (* -707281/11664 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (patch #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 16/841 (* -707281/11664 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (patch #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 16/841 (* -707281/11664 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (patch #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -707281/11664 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal -707281/11664 binary64)) (patch (.f64 (.f64 x x) #s(literal -707281/11664 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -707281/11664 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal -707281/11664 binary64)) (patch (.f64 (.f64 x x) #s(literal -707281/11664 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -707281/11664 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal -707281/11664 binary64)) (patch (.f64 (.f64 x x) #s(literal -707281/11664 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -707281/11664 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal -707281/11664 binary64)) (patch (.f64 (.f64 x x) #s(literal -707281/11664 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt 4/29 (taylor 0 x) (#s(alt (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -20511149/46656 x) (taylor 0 x) (#s(alt (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) (patch (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* -500246412961/20155392 x) 20511149/46656)) (taylor 0 x) (#s(alt (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) (patch (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656)) (taylor 0 x) (#s(alt (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) (patch (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656)) (taylor 0 x) (#s(alt (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) (patch (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (* 29/4 x) (taylor 0 x) (#s(alt (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x))) (patch (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 29/4 (* 707281/1728 x))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x))) (patch (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x))))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x))) (patch (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x))))))) (taylor 0 x) (#s(alt (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x))) (patch (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) #<representation binary64>) () ())) ())
#s(alt 4/29 (taylor 0 x) (#s(alt #s(approx (+ (* -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)) (patch #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* -841/108 x)) (taylor 0 x) (#s(alt #s(approx (+ (* -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)) (patch #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* -841/108 x)) (taylor 0 x) (#s(alt #s(approx (+ (* -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)) (patch #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* -841/108 x)) (taylor 0 x) (#s(alt #s(approx (+ (* -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)) (patch #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) #<representation binary64>) () ())) ())
#s(alt 4/29 (taylor 0 x) (#s(alt (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (patch (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* -841/108 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (patch (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* -841/108 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (patch (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* -841/108 x)) (taylor 0 x) (#s(alt (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (patch (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt 4/29 (taylor 0 x) (#s(alt #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)) (patch #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)) (patch #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* x (+ 841/108 (* 20511149/46656 x)))) (taylor 0 x) (#s(alt #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)) (patch #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x)))))) (taylor 0 x) (#s(alt #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)) (patch #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -841/108 x) (taylor 0 x) (#s(alt (.f64 #s(literal -841/108 binary64) x) (patch (.f64 #s(literal -841/108 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -841/108 x) (taylor 0 x) (#s(alt (.f64 #s(literal -841/108 binary64) x) (patch (.f64 #s(literal -841/108 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -841/108 x) (taylor 0 x) (#s(alt (.f64 #s(literal -841/108 binary64) x) (patch (.f64 #s(literal -841/108 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -841/108 x) (taylor 0 x) (#s(alt (.f64 #s(literal -841/108 binary64) x) (patch (.f64 #s(literal -841/108 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor inf x) (#s(alt (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
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#s(alt (+ 841/108 (* 4/29 (/ 1 x))) (taylor -inf x) (#s(alt (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) (patch (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) (patch (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt (+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x))) (taylor -inf x) (#s(alt (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) (patch (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))) #<representation binary64>) () ())) ())
#s(alt -108/841 (taylor -inf x) (#s(alt (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x))) (patch (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 108/841 (* 46656/20511149 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x))) (patch (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841) (taylor -inf x) (#s(alt (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x))) (patch (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841) (taylor -inf x) (#s(alt (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x))) (patch (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* -841/108 x) (taylor -inf x) (#s(alt #s(approx (+ (* -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)) (patch #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)) (patch #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)) (patch #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x))))) (taylor -inf x) (#s(alt #s(approx (+ (* -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)) (patch #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -841/108 x) (taylor -inf x) (#s(alt (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (patch (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (patch (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (patch (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- 841/108 (* 4/29 (/ 1 x))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) (patch (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1728/707281 x) (taylor -inf x) (#s(alt #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)) (patch #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) (taylor -inf x) (#s(alt #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)) (patch #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x)) (taylor -inf x) (#s(alt #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)) (patch #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x)) (taylor -inf x) (#s(alt #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)) (patch #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -841/108 x) (taylor -inf x) (#s(alt (.f64 #s(literal -841/108 binary64) x) (patch (.f64 #s(literal -841/108 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -841/108 x) (taylor -inf x) (#s(alt (.f64 #s(literal -841/108 binary64) x) (patch (.f64 #s(literal -841/108 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -841/108 x) (taylor -inf x) (#s(alt (.f64 #s(literal -841/108 binary64) x) (patch (.f64 #s(literal -841/108 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* -841/108 x) (taylor -inf x) (#s(alt (.f64 #s(literal -841/108 binary64) x) (patch (.f64 #s(literal -841/108 binary64) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

((/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (- (* -707281/11664 (* x x)) -16/841) (* (* x x) -707281/11664) (* x x) (+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (+ (* -841/108 x) 4/29) (/ -16/841 (+ (* x 841/108) -4/29)) (* -841/108 x))

1.0ms

-inf

((/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (- (* -707281/11664 (* x x)) -16/841) (* (* x x) -707281/11664) (* x x) (+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (+ (* -841/108 x) 4/29) (/ -16/841 (+ (* x 841/108) -4/29)) (* -841/108 x))

1.0ms

((/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (- (* -707281/11664 (* x x)) -16/841) (* (* x x) -707281/11664) (* x x) (+ (* x (* -707281/11664 (/ x (+ (* -841/108 x) 4/29)))) (/ -16/841 (+ (* x 841/108) -4/29))) (* -707281/11664 (/ x (+ (* -841/108 x) 4/29))) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (+ (* -841/108 x) 4/29) (/ -16/841 (+ (* x 841/108) -4/29)) (* -841/108 x))

simplify148.0ms (2.5%)

Memory

-14.6MiB live, 177.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	156	730
1	410	724
2	887	714
3	1716	714
4	3172	702
5	6336	702
0	8496	639

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
16/841
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(+ 16/841 (* -707281/11664 (pow x 2)))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(+ 4/29 (* 841/108 x))
(* -20511149/46656 x)
(* x (- (* -500246412961/20155392 x) 20511149/46656))
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(* 29/4 x)
(* x (+ 29/4 (* 707281/1728 x)))
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
4/29
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
4/29
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
(+ 4/29 (* -841/108 x))
4/29
(+ 4/29 (* 841/108 x))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
841/108
(+ 841/108 (* 4/29 (/ 1 x)))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))
-108/841
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* -841/108 x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* -707281/11664 (pow x 2))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(* -707281/11664 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 841/108 x)
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
841/108
(+ 841/108 (* 4/29 (/ 1 x)))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
-108/841
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(* -841/108 x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -841/108 x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(/ -1728/707281 x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)
(* -841/108 x)

Outputs
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
16/841
#s(literal 16/841 binary64)
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(+ 16/841 (* -707281/11664 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* -20511149/46656 x)
(*.f64 #s(literal -20511149/46656 binary64) x)
(* x (- (* -500246412961/20155392 x) 20511149/46656))
(*.f64 (fma.f64 #s(literal -500246412961/20155392 binary64) x #s(literal -20511149/46656 binary64)) x)
(* x (- (* x (- (* -12200509765705829/8707129344 x) 500246412961/20155392)) 20511149/46656))
(*.f64 (fma.f64 (fma.f64 #s(literal -12200509765705829/8707129344 binary64) x #s(literal -500246412961/20155392 binary64)) x #s(literal -20511149/46656 binary64)) x)
(* x (- (* x (- (* x (- (* -297558232675799463481/3761479876608 x) 12200509765705829/8707129344)) 500246412961/20155392)) 20511149/46656))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -297558232675799463481/3761479876608 binary64) x #s(literal -12200509765705829/8707129344 binary64)) x #s(literal -500246412961/20155392 binary64)) x #s(literal -20511149/46656 binary64)) x)
(* 29/4 x)
(*.f64 #s(literal 29/4 binary64) x)
(* x (+ 29/4 (* 707281/1728 x)))
(*.f64 (fma.f64 #s(literal 707281/1728 binary64) x #s(literal 29/4 binary64)) x)
(* x (+ 29/4 (* x (+ 707281/1728 (* 17249876309/746496 x)))))
(*.f64 (fma.f64 (fma.f64 #s(literal 17249876309/746496 binary64) x #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x)
(* x (+ 29/4 (* x (+ 707281/1728 (* x (+ 17249876309/746496 (* 420707233300201/322486272 x)))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 420707233300201/322486272 binary64) x #s(literal 17249876309/746496 binary64)) x #s(literal 707281/1728 binary64)) x #s(literal 29/4 binary64)) x)
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(+ 4/29 (* -841/108 x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
4/29
#s(literal 4/29 binary64)
(+ 4/29 (* 841/108 x))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* 20511149/46656 x))))
(fma.f64 (fma.f64 #s(literal 20511149/46656 binary64) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(+ 4/29 (* x (+ 841/108 (* x (+ 20511149/46656 (* 500246412961/20155392 x))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 500246412961/20155392 binary64) x #s(literal 20511149/46656 binary64)) x #s(literal 841/108 binary64)) x #s(literal 4/29 binary64))
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
841/108
#s(literal 841/108 binary64)
(+ 841/108 (* 4/29 (/ 1 x)))
(-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal -841/108 binary64))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(-.f64 (+.f64 (/.f64 #s(literal 1728/707281 binary64) (*.f64 x x)) #s(literal 841/108 binary64)) (/.f64 #s(literal -4/29 binary64) x))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (+ (* 4/29 (/ 1 x)) (* 746496/17249876309 (/ 1 (pow x 3))))))
(-.f64 #s(literal 841/108 binary64) (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 (-.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal -1728/707281 binary64)) x)) x))
-108/841
#s(literal -108/841 binary64)
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(-.f64 #s(literal -108/841 binary64) (/.f64 (-.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal -46656/20511149 binary64)) x))
(- (* -1 (/ (+ 20155392/500246412961 (* 8707129344/12200509765705829 (/ 1 x))) (pow x 2))) (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x) #s(literal 46656/20511149 binary64)) x) #s(literal 108/841 binary64))
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* x (- (* 4/29 (/ 1 x)) 841/108))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)
(/ (- (* -1 (/ (+ 746496/17249876309 (* 322486272/420707233300201 (/ 1 x))) x)) 1728/707281) x)
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 (-.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal -746496/17249876309 binary64)) x)) x)
(/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) (pow x 2))) (+ 1728/707281 (* 746496/17249876309 (/ 1 x)))) x)
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (-.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal -322486272/420707233300201 binary64)) x)) x) #s(literal 1728/707281 binary64)) x)
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* (pow x 2) (- (* 16/841 (/ 1 (pow x 2))) 707281/11664))
(fma.f64 (*.f64 x x) #s(literal -707281/11664 binary64) #s(literal 16/841 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(* -707281/11664 (pow x 2))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 841/108 x)
(*.f64 x #s(literal 841/108 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(* x (+ 841/108 (* 4/29 (/ 1 x))))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
841/108
#s(literal 841/108 binary64)
(+ 841/108 (* 4/29 (/ 1 x)))
(-.f64 (/.f64 #s(literal 4/29 binary64) x) #s(literal -841/108 binary64))
(+ 841/108 (+ (/ 1728/707281 (pow x 2)) (* 4/29 (/ 1 x))))
(-.f64 (+.f64 (/.f64 #s(literal 1728/707281 binary64) (*.f64 x x)) #s(literal 841/108 binary64)) (/.f64 #s(literal -4/29 binary64) x))
(+ 841/108 (* -1 (/ (- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x)) 4/29) x)))
(-.f64 #s(literal 841/108 binary64) (/.f64 (-.f64 #s(literal -4/29 binary64) (/.f64 (-.f64 (/.f64 #s(literal 746496/17249876309 binary64) x) #s(literal -1728/707281 binary64)) x)) x))
-108/841
#s(literal -108/841 binary64)
(* -1 (+ 108/841 (* 46656/20511149 (/ 1 x))))
(-.f64 #s(literal -108/841 binary64) (/.f64 #s(literal 46656/20511149 binary64) x))
(- (* -1 (/ (+ 46656/20511149 (* 20155392/500246412961 (/ 1 x))) x)) 108/841)
(-.f64 #s(literal -108/841 binary64) (/.f64 (-.f64 (/.f64 #s(literal 20155392/500246412961 binary64) x) #s(literal -46656/20511149 binary64)) x))
(- (* -1 (/ (+ 46656/20511149 (+ (/ 8707129344/12200509765705829 (pow x 2)) (* 20155392/500246412961 (/ 1 x)))) x)) 108/841)
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 #s(literal -20155392/500246412961 binary64) (/.f64 #s(literal 8707129344/12200509765705829 binary64) x)) x) #s(literal 46656/20511149 binary64)) x) #s(literal 108/841 binary64))
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(* -1 (* x (- 841/108 (* 4/29 (/ 1 x)))))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
(/ -1728/707281 x)
(/.f64 #s(literal -1728/707281 binary64) x)
(* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) x))
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 #s(literal 746496/17249876309 binary64) x)) x)
(* -1 (/ (+ 1728/707281 (+ (/ 322486272/420707233300201 (pow x 2)) (* 746496/17249876309 (/ 1 x)))) x))
(/.f64 (-.f64 #s(literal -1728/707281 binary64) (/.f64 (-.f64 (/.f64 #s(literal 322486272/420707233300201 binary64) x) #s(literal -746496/17249876309 binary64)) x)) x)
(* -1 (/ (+ 1728/707281 (* -1 (/ (- (* -1 (/ (+ 322486272/420707233300201 (* 139314069504/10260628712958602189 (/ 1 x))) x)) 746496/17249876309) x))) x))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -746496/17249876309 binary64) (/.f64 (-.f64 (/.f64 #s(literal 139314069504/10260628712958602189 binary64) x) #s(literal -322486272/420707233300201 binary64)) x)) x) #s(literal 1728/707281 binary64)) x)
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)
(* -841/108 x)
(*.f64 #s(literal -841/108 binary64) x)

rewrite234.0ms (4%)

Memory

27.3MiB live, 182.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	108
0	35	108
1	128	108
2	840	106
3	7498	106
0	8237	104

Stop Event

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

Counts

11 → 342

Calls

Call 1

Inputs
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
#s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64)))
(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
(*.f64 x x)
(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64)))
(.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))))
(/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
#s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))
(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
#s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64))
(*.f64 #s(literal -841/108 binary64) x)

Outputs
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eval87.0ms (1.5%)

Memory: -3.4MiB live, 117.3MiB allocated
Compiler: Compiled 10 481 to 1 170 computations (88.8% saved)

prune15.0ms (0.3%)

Memory

7.7MiB live, 42.9MiB allocated

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	473	1	474
Fresh	0	0	0
Picked	0	2	2
Done	0	4	4
Total	473	7	480

Accuracy

100.0%

Counts

480 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64)))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
✓	31.3%	(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
	31.3%	(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
✓	54.3%	(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
✓	54.5%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))
✓	46.4%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 168 to 96 computations (42.9% saved)

regimes18.0ms (0.3%)

Memory

-4.8MiB live, 33.4MiB allocated

Counts

13 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))))
(/.f64 (fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64)))
(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
(/.f64 (-.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))) (/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))))

Outputs

(fma.f64 x (*.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))) #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)))

Calls

3 calls:

9.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
4.0ms	x
4.0ms	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
99.9%	1	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 15 to 15 computations (0% saved)

regimes18.0ms (0.3%)

Memory

-35.5MiB live, 21.3MiB allocated

Counts

6 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(/.f64 #s(literal -1 binary64) #s(approx (/ -1 (+ (* x 841/108) 4/29)) (/.f64 #s(literal -108/841 binary64) x)))
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64))) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))

Outputs
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))

Calls

3 calls:

12.0ms	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
3.0ms	x
3.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
99.9%	1	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 15 to 15 computations (0% saved)

regimes5.0ms (0.1%)

Memory

13.7MiB live, 13.7MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))

Outputs

#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))

#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))

Calls

3 calls:

2.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
2.0ms	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
2.0ms	x

Results

Accuracy	Segments	Branch
97.7%	3	`x`
97.7%	3	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
97.7%	3	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 15 to 15 computations (0% saved)

regimes4.0ms (0.1%)

Memory

12.1MiB live, 12.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Outputs
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Calls

3 calls:

1.0ms	x
1.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
1.0ms	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))

Results

Accuracy	Segments	Branch
46.4%	1	`x`
46.4%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
46.4%	1	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.007168995576262172	1223.7725827887127
0.0ms	-25.78713022571932	-0.000492600275228179

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify28.0ms (0.5%)

Memory

-5.6MiB live, 70.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	76
1	42	76

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -20 binary64)) #s(approx (+ ( (/ 841 108) x) (/ 4 29)) (.f64 x #s(literal 841/108 binary64))) (if (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Outputs
(fma.f64 x (.f64 #s(literal -707281/11664 binary64) (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x)))) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64)))
(fma.f64 x (.f64 (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x))) #s(literal -707281/11664 binary64)) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64)))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(if (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -20 binary64)) #s(approx (+ ( (/ 841 108) x) (/ 4 29)) (.f64 x #s(literal 841/108 binary64))) (if (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))))
(if (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal -20 binary64)) #s(approx (+ ( (/ 841 108) x) (/ 4 29)) (.f64 #s(literal 841/108 binary64) x)) (if (<=.f64 (.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) #s(literal 5764607523034235/576460752303423488 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64)) #s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 #s(literal 841/108 binary64) x))))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

soundness584.0ms (10.1%)

Memory

6.2MiB live, 363.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	88
1	24	88
2	37	88
3	49	88
4	49	88
5	64	88
6	70	88
7	74	88
8	74	88
0	74	79
0	9	10
0	15	10
1	32	10
2	157	10
3	1219	10
0	8380	9
0	206	1054
1	566	1035
2	1247	1028
3	2483	1024
4	5208	1020
0	8118	924
0	188	774
1	528	755
2	1154	748
3	2290	744
4	4726	740
0	8159	662

Stop Event

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

Compiler

Compiled 98 to 63 computations (35.7% saved)

preprocess272.0ms (4.7%)

Memory: -17.6MiB live, 65.2MiB allocated
Compiler: Compiled 106 to 68 computations (35.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample978.0ms (16.8%)

explain158.0ms (2.7%)

preprocess17.0ms (0.3%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize47.0ms (0.8%)

series3.0ms (0%)

simplify5.0ms (0.1%)

rewrite244.0ms (4.2%)

eval40.0ms (0.7%)

prune107.0ms (1.8%)

simplify8.0ms (0.1%)

localize156.0ms (2.7%)

series197.0ms (3.4%)

simplify321.0ms (5.5%)

rewrite356.0ms (6.1%)

eval500.0ms (8.6%)

prune33.0ms (0.6%)

simplify64.0ms (1.1%)

localize195.0ms (3.4%)

series13.0ms (0.2%)

simplify311.0ms (5.4%)

rewrite177.0ms (3.1%)

eval197.0ms (3.4%)

prune159.0ms (2.7%)

simplify6.0ms (0.1%)

localize97.0ms (1.7%)

series9.0ms (0.1%)

simplify148.0ms (2.5%)

rewrite234.0ms (4%)

eval87.0ms (1.5%)

prune15.0ms (0.3%)

regimes18.0ms (0.3%)

regimes18.0ms (0.3%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

simplify28.0ms (0.5%)

soundness584.0ms (10.1%)

preprocess272.0ms (4.7%)

end0.0ms (0%)

Profiling