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

0.4MiB live, 0.4MiB 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)

sample922.0ms (17.5%)

Memory

4.6MiB live, 1 125.4MiB allocated

Samples

571.0ms	8 252×	0	valid
0.0ms	3×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 419.0ms

ival-div: 248.0ms (59.2% of total)

ival-mult: 111.0ms (26.5% of total)

ival-add: 37.0ms (8.8% of total)

exact: 14.0ms (3.3% of total)

ival-true: 6.0ms (1.4% of total)

ival-assert: 3.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain86.0ms (1.6%)

Memory

-21.2MiB live, 177.6MiB 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

30.0ms

512×

valid

Compiler

Compiled 63 to 31 computations (50.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-div: 8.0ms (54.2% of total)

ival-mult: 3.0ms (20.3% of total)

ival-add: 2.0ms (13.6% of total)

exact: 1.0ms (6.8% of total)

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

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

preprocess14.0ms (0.3%)

Memory

30.0MiB live, 30.0MiB 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)

eval3.0ms (0%)

Memory: -38.0MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

2.6MiB live, 2.6MiB 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

5.8MiB live, 5.8MiB 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)

localize20.0ms (0.4%)

Memory

29.5MiB live, 29.5MiB 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	0.0078125	(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))
accuracy	0.10546875	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)

Samples

14.0ms

256×

valid

Compiler

Compiled 27 to 11 computations (59.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 4.0ms (55.3% of total)

ival-mult: 2.0ms (27.7% of total)

ival-add: 1.0ms (13.8% of total)

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

exact: 0.0ms (0% of total)

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

series73.0ms (1.4%)

Memory

-35.2MiB live, 3.5MiB 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
70.0ms	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

70.0ms

-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

4.6MiB live, 4.6MiB 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))

rewrite613.0ms (11.7%)

Memory

36.4MiB live, 185.7MiB 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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eval164.0ms (3.1%)

Memory: -5.8MiB live, 76.5MiB allocated
Compiler: Compiled 5 675 to 647 computations (88.6% saved)

prune11.0ms (0.2%)

Memory

-3.7MiB live, 34.1MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	237	8	245
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	238	8	246

Accuracy

100.0%

Counts

246 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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 (*.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))
	75.8%	(/.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)))
▶	75.8%	(/.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)))
▶	99.9%	(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
	53.6%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) (*.f64 x #s(literal 841/108 binary64)))
▶	47.4%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 144 to 126 computations (12.5% saved)

simplify62.0ms (1.2%)

Memory

8.0MiB live, 44.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 707281/11664 binary64) x)
cost-diff	0	(/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
cost-diff	576	(/.f64 x #s(literal -1 binary64))
cost-diff	1216	(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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))))
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	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
cost-diff	0	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
cost-diff	0	(*.f64 x #s(literal 841/108 binary64))
cost-diff	128	(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	116
0	48	108
1	72	108
2	103	108
3	165	108
4	221	108
5	307	108
6	476	108
7	826	107
8	1424	107
9	1684	107
10	1791	107
11	1835	107
12	1979	107
13	2073	107
14	2570	107
0	2570	104

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

Outputs
(-.f64 (*.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))
(*.f64 x #s(literal 841/108 binary64))
(*.f64 #s(literal 841/108 binary64) x)
x
#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)
(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 (-.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)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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 (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 x #s(literal -1 binary64))
(neg.f64 x)
x
#s(literal -1 binary64)
(/.f64 (*.f64 #s(literal 707281/11664 binary64) 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))
(*.f64 #s(literal 707281/11664 binary64) 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)
(/.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)

localize154.0ms (2.9%)

Memory

-19.8MiB live, 191.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
accuracy	0.1875	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	0.29296875	(/.f64 #s(literal -16/841 binary64) (fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64)))
accuracy	0.38119125976844204	(/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	0.02734375	(-.f64 (.f64 #s(literal -707281/11664 binary64) (.f64 x x)) #s(literal -16/841 binary64))
accuracy	0.06640625	(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
accuracy	0.20006541350857543	(.f64 #s(literal -707281/11664 binary64) (.f64 x x))
accuracy	15.507826477104938	(/.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	0.0546875	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
accuracy	33.638260054013834	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
accuracy	0.0078125	(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
accuracy	0.10546875	(*.f64 x #s(literal 841/108 binary64))

Samples

107.0ms

256×

valid

Compiler

Compiled 130 to 35 computations (73.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 80.0ms

const: 48.0ms (59.8% of total)

ival-div: 12.0ms (14.9% of total)

ival-mult: 12.0ms (14.9% of total)

ival-add: 6.0ms (7.5% of total)

ival-sub: 3.0ms (3.7% of total)

exact: 1.0ms (1.2% of total)

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

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

series42.0ms (0.8%)

Memory

4.1MiB live, 42.7MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (patch (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 841/108 binary64)) (patch (.f64 x #s(literal 841/108 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 (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 (.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 (fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 707281/11664 binary64) 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 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 707281/11664 binary64) 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 x #s(literal -1 binary64)) (patch (/.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 (.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 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 #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 (/.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 (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (patch (-.f64 (.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 (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (patch (-.f64 (.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 (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (patch (-.f64 (.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 (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) (patch (-.f64 (.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor 0 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 0 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 0 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 0 x) (#s(alt (.f64 x #s(literal 841/108 binary64)) (patch (.f64 x #s(literal 841/108 binary64)) #<representation binary64>) () ())) ())
#s(alt 4/29 (taylor 0 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 (+ 4/29 (* 841/108 x)) (taylor 0 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 (+ 4/29 (* 841/108 x)) (taylor 0 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 (+ 4/29 (* 841/108 x)) (taylor 0 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 4/29 (taylor 0 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 (+ 4/29 (* 841/108 x)) (taylor 0 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 (+ 4/29 (* 841/108 x)) (taylor 0 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 (+ 4/29 (* 841/108 x)) (taylor 0 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 16/841 (taylor 0 x) (#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 (+ 16/841 (* -707281/11664 (pow x 2))) (taylor 0 x) (#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>) () ())) ())
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#s(alt (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 (.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 707281/11664 x) (taylor -inf x) (#s(alt (.f64 #s(literal 707281/11664 binary64) x) (patch (.f64 #s(literal 707281/11664 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 707281/11664 x) (taylor -inf x) (#s(alt (.f64 #s(literal 707281/11664 binary64) x) (patch (.f64 #s(literal 707281/11664 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 707281/11664 x) (taylor -inf x) (#s(alt (.f64 #s(literal 707281/11664 binary64) x) (patch (.f64 #s(literal 707281/11664 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 707281/11664 x) (taylor -inf x) (#s(alt (.f64 #s(literal 707281/11664 binary64) x) (patch (.f64 #s(literal 707281/11664 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 (/.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
30.0ms	x	@	-inf	((- (* x 841/108) -4/29) (* x 841/108) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* x 841/108) 4/29) (- (* -707281/11664 (* x x)) -16/841) (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (* -707281/11664 (* x x)) (* x x) (+ (* (/ x -1) (/ (* 707281/11664 x) (+ (* -841/108 x) 4/29))) (/ -16/841 (+ (* x 841/108) -4/29))) (/ x -1) (/ (* 707281/11664 x) (+ (* -841/108 x) 4/29)) (* 707281/11664 x) (+ (* -841/108 x) 4/29) (/ -16/841 (+ (* x 841/108) -4/29)))
4.0ms	x	@	inf	((- (* x 841/108) -4/29) (* x 841/108) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* x 841/108) 4/29) (- (* -707281/11664 (* x x)) -16/841) (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (* -707281/11664 (* x x)) (* x x) (+ (* (/ x -1) (/ (* 707281/11664 x) (+ (* -841/108 x) 4/29))) (/ -16/841 (+ (* x 841/108) -4/29))) (/ x -1) (/ (* 707281/11664 x) (+ (* -841/108 x) 4/29)) (* 707281/11664 x) (+ (* -841/108 x) 4/29) (/ -16/841 (+ (* x 841/108) -4/29)))
3.0ms	x	@	0	((- (* x 841/108) -4/29) (* x 841/108) (+ (* (/ 841 108) x) (/ 4 29)) (+ (* x 841/108) 4/29) (- (* -707281/11664 (* x x)) -16/841) (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (* -707281/11664 (* x x)) (* x x) (+ (* (/ x -1) (/ (* 707281/11664 x) (+ (* -841/108 x) 4/29))) (/ -16/841 (+ (* x 841/108) -4/29))) (/ x -1) (/ (* 707281/11664 x) (+ (* -841/108 x) 4/29)) (* 707281/11664 x) (+ (* -841/108 x) 4/29) (/ -16/841 (+ (* x 841/108) -4/29)))

Time

Variable

Point

Expression

30.0ms

-inf

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

4.0ms

inf

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

3.0ms

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

simplify241.0ms (4.6%)

Memory

7.5MiB live, 161.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	108	790
1	304	784
2	679	774
3	1327	774
4	2469	770
5	6080	770
0	8654	695

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

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)
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))
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))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* 20511149/46656 x)
(* x (+ 20511149/46656 (* 500246412961/20155392 x)))
(* x (+ 20511149/46656 (* x (+ 500246412961/20155392 (* 12200509765705829/8707129344 x)))))
(* x (+ 20511149/46656 (* x (+ 500246412961/20155392 (* x (+ 12200509765705829/8707129344 (* 297558232675799463481/3761479876608 x)))))))
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 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))))
(* 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)
(* 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))
(* 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))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
-841/108
(* -1 (+ 841/108 (* 4/29 (/ 1 x))))
(- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)
(- (* -1 (/ (+ 1728/707281 (* 746496/17249876309 (/ 1 x))) (pow x 2))) (+ 841/108 (* 4/29 (/ 1 x))))
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 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))))
(* 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)
(* 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))
(* 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))))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
-841/108
(* -1 (+ 841/108 (* 4/29 (/ 1 x))))
(- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108)
(- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 x)
(* 707281/11664 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))

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

rewrite192.0ms (3.7%)

Memory

13.3MiB live, 239.7MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	88
0	48	64
1	181	63
2	1490	63
0	9107	62

Stop Event

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

Counts

14 → 1 672

Calls

Call 1

Inputs
(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
(*.f64 x #s(literal 841/108 binary64))
#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))
(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
(-.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)
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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 x #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
(*.f64 #s(literal 707281/11664 binary64) 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
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eval414.0ms (7.9%)

Memory: 2.7MiB live, 621.9MiB allocated
Compiler: Compiled 45 883 to 1 834 computations (96% saved)

prune36.0ms (0.7%)

Memory

-8.2MiB live, 100.4MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1 906	3	1 909
Fresh	2	1	3
Picked	2	3	5
Done	0	0	0
Total	1 910	7	1 917

Accuracy

100.0%

Counts

1 917 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.3%	(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 707281/11664 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)))
✓	99.9%	(fma.f64 x #s(literal 841/108 binary64) #s(literal 4/29 binary64))
▶	75.8%	(/.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)))
▶	29.7%	(/.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)))
✓	99.9%	(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
▶	53.6%	#s(approx (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (*.f64 x #s(literal 841/108 binary64)))
✓	47.4%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 51 to 45 computations (11.8% saved)

simplify68.0ms (1.3%)

Memory

-1.5MiB live, 37.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 707281/11664 binary64) x)
cost-diff	0	(/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
cost-diff	128	(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 707281/11664 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)))
cost-diff	576	(/.f64 x #s(literal -1 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 (.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)))
cost-diff	0	(*.f64 x #s(literal 841/108 binary64))
cost-diff	0	#s(approx (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (*.f64 x #s(literal 841/108 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	148
0	47	148
1	74	148
2	107	147
3	169	147
4	225	147
5	314	147
6	486	147
7	845	145
8	1484	145
9	1778	145
10	1898	145
11	2167	145
12	2202	145
13	2304	145
14	2793	145
0	2793	142

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize172.0ms (3.3%)

Memory

-10.3MiB live, 106.1MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
accuracy	0.1875	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	0.38119125976844204	(/.f64 (*.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	33.420088823458684	#s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64))
accuracy	0.06640625	(fma.f64 x #s(literal 841/108 binary64) #s(literal -4/29 binary64))
accuracy	0.0703125	(fma.f64 (*.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64))
accuracy	0.1875	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	15.507826477104938	(/.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	0.06640625	(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
accuracy	0.20006541350857543	(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
accuracy	15.507826477104938	(/.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	29.530570583881275	#s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64)))
accuracy	0.10546875	(*.f64 x #s(literal 841/108 binary64))
accuracy	29.620818991387374	#s(approx (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (*.f64 x #s(literal 841/108 binary64)))

Samples

152.0ms

256×

valid

Compiler

Compiled 143 to 29 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 135.0ms

const: 106.0ms (78.6% of total)

ival-mult: 13.0ms (9.6% of total)

ival-div: 10.0ms (7.4% of total)

ival-add: 4.0ms (3% of total)

ival-sub: 1.0ms (0.7% of total)

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

exact: 0.0ms (0% of total)

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

series11.0ms (0.2%)

Memory

18.6MiB live, 18.6MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (.f64 x #s(literal 841/108 binary64))) (patch #s(approx (/ (- ( -707281/11664 (* x x)) -16/841) (+ (* -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 (/.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 (/.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 (/.f64 x #s(literal -1 binary64)) (patch (/.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 707281/11664 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))) (patch (fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 707281/11664 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))) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 (.f64 #s(literal 707281/11664 binary64) 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 #s(approx (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (.f64 x #s(literal 841/108 binary64))) (patch #s(approx (/ (- ( -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (*.f64 x #s(literal 841/108 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt #s(approx (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (.f64 x #s(literal 841/108 binary64))) (patch #s(approx (/ (- ( -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (*.f64 x #s(literal 841/108 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt #s(approx (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (.f64 x #s(literal 841/108 binary64))) (patch #s(approx (/ (- ( -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (*.f64 x #s(literal 841/108 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt #s(approx (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (.f64 x #s(literal 841/108 binary64))) (patch #s(approx (/ (- ( -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (*.f64 x #s(literal 841/108 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor 0 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 0 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 0 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 0 x) (#s(alt (.f64 x #s(literal 841/108 binary64)) (patch (.f64 x #s(literal 841/108 binary64)) #<representation binary64>) () ())) ())
#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>) () ())) ())
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#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#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 (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#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 (* 707281/11664 (pow x 2)) (taylor -inf x) (#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 (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) (taylor -inf x) (#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 (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) (taylor -inf x) (#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 (* (pow x 2) (- 707281/11664 (* 16/841 (/ 1 (pow x 2))))) (taylor -inf x) (#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 (* 707281/11664 x) (taylor -inf x) (#s(alt (.f64 #s(literal 707281/11664 binary64) x) (patch (.f64 #s(literal 707281/11664 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 707281/11664 x) (taylor -inf x) (#s(alt (.f64 #s(literal 707281/11664 binary64) x) (patch (.f64 #s(literal 707281/11664 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 707281/11664 x) (taylor -inf x) (#s(alt (.f64 #s(literal 707281/11664 binary64) x) (patch (.f64 #s(literal 707281/11664 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 707281/11664 x) (taylor -inf x) (#s(alt (.f64 #s(literal 707281/11664 binary64) x) (patch (.f64 #s(literal 707281/11664 binary64) x) #<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 (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108))) (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 (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108))) (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 (* -1 (* x (- (* 4/29 (/ 1 x)) 841/108))) (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 (* -1 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal -1 binary64)) (patch (/.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal -1 binary64)) (patch (/.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal -1 binary64)) (patch (/.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal -1 binary64)) (patch (/.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 841/108 x) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 707281/11664 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))) (patch (fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 707281/11664 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))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 707281/11664 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))) (patch (fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 707281/11664 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))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 707281/11664 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))) (patch (fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 707281/11664 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))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 707281/11664 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))) (patch (fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 707281/11664 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))) #<representation binary64>) () ())) ())
#s(alt -841/108 (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 (.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (+ 841/108 (* 4/29 (/ 1 x)))) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 (.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 4/29 (* 1728/707281 (/ 1 x))) x)) 841/108) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 (.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1 (/ (+ 4/29 (+ (/ 746496/17249876309 (pow x 2)) (* 1728/707281 (/ 1 x)))) x)) 841/108) (taylor -inf x) (#s(alt (/.f64 (.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 (.f64 #s(literal 707281/11664 binary64) x) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #<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>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

inf

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

2.0ms

-inf

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

2.0ms

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

simplify144.0ms (2.7%)

Memory

1.5MiB live, 119.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	116	864
1	323	858
2	734	848
3	1460	848
4	2842	844
5	5782	844
0	8664	760

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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

rewrite173.0ms (3.3%)

Memory

-5.7MiB live, 229.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	125
0	47	125
1	178	117
2	1431	117
0	8626	112

Stop Event

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

Counts

15 → 536

Calls

Call 1

Inputs
#s(approx (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (*.f64 x #s(literal 841/108 binary64)))
(*.f64 x #s(literal 841/108 binary64))
(/.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)
(/.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))
(/.f64 x #s(literal -1 binary64))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 707281/11664 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 (*.f64 #s(literal 707281/11664 binary64) 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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eval318.0ms (6.1%)

Memory: -30.8MiB live, 153.1MiB allocated
Compiler: Compiled 15 600 to 1 705 computations (89.1% saved)

prune165.0ms (3.1%)

Memory

6.2MiB live, 45.7MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	786	4	790
Fresh	0	0	0
Picked	3	1	4
Done	0	3	3
Total	789	8	797

Accuracy

100.0%

Counts

797 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.5%	(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)))
▶	97.3%	(fma.f64 (.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x) (neg.f64 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))
▶	29.2%	(/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (+ ( x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64))))
▶	29.5%	(/.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)))
✓	99.9%	(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
✓	53.6%	#s(approx (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (*.f64 x #s(literal 841/108 binary64)))
✓	47.4%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 62 to 53 computations (14.5% saved)

simplify110.0ms (2.1%)

Memory

-4.4MiB live, 41.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	201
0	55	202
1	88	202
2	133	200
3	218	200
4	306	200
5	391	196
6	549	196
7	646	196
8	771	196
9	1033	196
10	1428	196
11	1842	196
12	2085	196
13	2158	196
14	2202	196
15	2303	196
16	2331	196
17	2331	196
18	2331	196
19	2409	196
20	2854	196
0	2854	192

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

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

localize108.0ms (2.1%)

Memory

1.4MiB live, 239.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
accuracy	0.08203125	(/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	0.1640625	(*.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64))
accuracy	33.420088823458684	#s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64))
accuracy	0.06640625	(fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))
accuracy	0.15625	(/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64)))
accuracy	0.2734375	(*.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x)
accuracy	33.420088823458684	#s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64))
accuracy	0.10546875	(*.f64 x #s(literal 841/108 binary64))
accuracy	0.1875	(*.f64 #s(literal 707281/11664 binary64) x)
accuracy	15.507826477104938	(/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (+ ( x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64))))
accuracy	29.66065503684762	#s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))
accuracy	0.20006541350857543	(.f64 (.f64 x x) #s(literal -707281/11664 binary64))
accuracy	15.507826477104938	(/.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)))
accuracy	29.530570583881275	#s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x x) #s(literal -707281/11664 binary64)))
accuracy	29.66065503684762	#s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x))

Samples

78.0ms	254×	0	valid
1.0ms	2×	1	valid

Compiler

Compiled 181 to 33 computations (81.8% saved)

Precisions

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

const: 24.0ms (38.2% of total)

ival-mult: 21.0ms (33.5% of total)

ival-div: 9.0ms (14.3% of total)

ival-add: 6.0ms (9.6% of total)

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

ival-neg: 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)

series13.0ms (0.3%)

Memory

25.7MiB live, 25.7MiB allocated

Counts

18 → 216

Calls

Call 1

Inputs
#s(alt (/.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))) (patch (/.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))) #<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 (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (+ ( x 841/108) -4/29) (.f64 x #s(literal 841/108 binary64)))) (patch (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 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 #s(approx (+ (* x 841/108) -4/29) (.f64 x #s(literal 841/108 binary64))) (patch #s(approx (+ ( x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x) (neg.f64 x) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 (.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x) (neg.f64 x) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x) (patch (.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) (patch (/.f64 #s(literal 707281/11664 binary64) (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 (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))) (patch (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))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 binary64)) (patch (.f64 (/.f64 x (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) #s(literal -707281/11664 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 #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 (.f64 x #s(literal 841/108 binary64)) (patch (.f64 x #s(literal 841/108 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(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))) (patch (/.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))) #<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))) #s(approx (+ (* -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x))) (patch (/.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))) #<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))) #s(approx (+ (* -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x))) (patch (/.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))) #<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))) #s(approx (+ (* -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x))) (patch (/.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))) #<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 (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (+ ( x 841/108) -4/29) (.f64 x #s(literal 841/108 binary64)))) (patch (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (+ ( x 841/108) -4/29) (.f64 x #s(literal 841/108 binary64)))) (patch (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (+ ( x 841/108) -4/29) (.f64 x #s(literal 841/108 binary64)))) (patch (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) #<representation binary64>) () ())) ())
#s(alt (+ 4/29 (* 841/108 x)) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (+ ( x 841/108) -4/29) (.f64 x #s(literal 841/108 binary64)))) (patch (/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (+ (* x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64)))) #<representation binary64>) () ())) ())
#s(alt -16/841 (taylor 0 x) (#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 (- (* 707281/11664 (pow x 2)) 16/841) (taylor 0 x) (#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 (- (* 707281/11664 (pow x 2)) 16/841) (taylor 0 x) (#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 (- (* 707281/11664 (pow x 2)) 16/841) (taylor 0 x) (#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 (* 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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt -4/29 (taylor 0 x) (#s(alt #s(approx (+ (* x 841/108) -4/29) (.f64 x #s(literal 841/108 binary64))) (patch #s(approx (+ ( x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 841/108 x) 4/29) (taylor 0 x) (#s(alt #s(approx (+ (* x 841/108) -4/29) (.f64 x #s(literal 841/108 binary64))) (patch #s(approx (+ ( x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 841/108 x) 4/29) (taylor 0 x) (#s(alt #s(approx (+ (* x 841/108) -4/29) (.f64 x #s(literal 841/108 binary64))) (patch #s(approx (+ ( x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 841/108 x) 4/29) (taylor 0 x) (#s(alt #s(approx (+ (* x 841/108) -4/29) (.f64 x #s(literal 841/108 binary64))) (patch #s(approx (+ ( x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64))) #<representation binary64>) () ())) ())
#s(alt 4/29 (taylor 0 x) (#s(alt (fma.f64 (.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x) (neg.f64 x) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 (.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x) (neg.f64 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 (.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x) (neg.f64 x) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 (.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x) (neg.f64 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 (.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x) (neg.f64 x) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64))) (patch (fma.f64 (.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x) (neg.f64 x) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64))) #<representation binary64>) () ())) ())
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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) (/ (+ (* (* 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) (+ (* (* (/ 707281/11664 (+ (* -841/108 x) 4/29)) x) (neg x)) (/ -16/841 (+ (* x 841/108) -4/29))) (* (/ 707281/11664 (+ (* -841/108 x) 4/29)) x) (/ 707281/11664 (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (+ (* (* (/ x (+ (* -841/108 x) 4/29)) -707281/11664) x) (/ -16/841 (+ (* x 841/108) -4/29))) (* (/ x (+ (* -841/108 x) 4/29)) -707281/11664) (/ x (+ (* -841/108 x) 4/29)) (+ (* -841/108 x) 4/29) (* x 841/108) (/ -16/841 (+ (* x 841/108) -4/29)))

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

2.0ms

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

simplify201.0ms (3.8%)

Memory

9.3MiB live, 161.4MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	202	1208
1	553	1190
2	1242	1172
3	2444	1172
4	4735	1160
0	8128	1047

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

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

rewrite203.0ms (3.9%)

Memory

-13.0MiB live, 303.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	168
0	55	168
1	195	168
2	1356	168
0	8820	161

Stop Event

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

Counts

18 → 489

Calls

Call 1

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

Outputs
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eval220.0ms (4.2%)

Memory: 8.4MiB live, 202.6MiB allocated
Compiler: Compiled 15 778 to 1 944 computations (87.7% saved)

prune27.0ms (0.5%)

Memory

9.3MiB live, 53.2MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	777	4	781
Fresh	0	0	0
Picked	3	1	4
Done	0	4	4
Total	780	9	789

Accuracy

100.0%

Counts

789 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.3%	(fma.f64 (/.f64 (.f64 x #s(literal -707281/11664 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64)))
	99.9%	(fma.f64 (.f64 (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x))) #s(literal -707281/11664 binary64)) x #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64)))
	99.8%	(fma.f64 (.f64 #s(approx (/ 707281/11664 (+ ( -841/108 x) 4/29)) (/.f64 #s(literal -841/108 binary64) x)) x) (neg.f64 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))
✓	29.5%	(/.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)))
	29.5%	(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x #s(literal -707281/11664 binary64)) x)) #s(approx (+ (* -841/108 x) 4/29) (*.f64 #s(literal -841/108 binary64) x)))
✓	99.9%	(-.f64 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
✓	53.6%	#s(approx (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -841/108 x) 4/29)) (*.f64 x #s(literal 841/108 binary64)))
✓	47.4%	#s(approx (+ (* (/ 841 108) x) (/ 4 29)) #s(literal 4/29 binary64))

Compiler

Compiled 275 to 130 computations (52.7% saved)

regimes21.0ms (0.4%)

Memory

-2.3MiB live, 35.3MiB allocated

Counts

20 → 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)))
#s(approx (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -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 (*.f64 x #s(literal 841/108 binary64)) #s(literal -4/29 binary64))
(fma.f64 (.f64 #s(approx (/ 707281/11664 (+ ( -841/108 x) 4/29)) (/.f64 #s(literal -841/108 binary64) x)) x) (neg.f64 x) #s(approx (/ -16/841 (+ (* x 841/108) -4/29)) #s(literal 4/29 binary64)))
(/.f64 #s(approx (- (* -707281/11664 (* x x)) -16/841) (.f64 (.f64 x #s(literal -707281/11664 binary64)) x)) #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))) #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)))
(/.f64 (fma.f64 (.f64 #s(literal 707281/11664 binary64) x) x #s(literal -16/841 binary64)) #s(approx (+ ( x 841/108) -4/29) (*.f64 x #s(literal 841/108 binary64))))
(fma.f64 (.f64 (/.f64 x #s(approx (+ ( -841/108 x) 4/29) (.f64 #s(literal -841/108 binary64) x))) #s(literal -707281/11664 binary64)) x #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #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 (/.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)))
(fma.f64 (/.f64 (.f64 x #s(literal -707281/11664 binary64)) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x #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 (.f64 (/.f64 #s(literal 707281/11664 binary64) (fma.f64 #s(literal -841/108 binary64) x #s(literal 4/29 binary64))) x) (neg.f64 x) #s(approx (/ -16/841 (+ ( x 841/108) -4/29)) #s(literal 4/29 binary64)))
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (.f64 #s(literal 707281/11664 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)))
(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 x #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal 707281/11664 binary64) 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 #s(literal 841/108 binary64) #s(literal 4/29 binary64))

Calls

3 calls:

8.0ms	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
6.0ms	x
6.0ms	(+.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)

regimes28.0ms (0.5%)

Memory

-29.0MiB live, 9.4MiB allocated

Counts

3 → 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)))

#s(approx (/ (- (* -707281/11664 (* x x)) -16/841) (+ (* -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:

24.0ms	x
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)))

Results

Accuracy	Segments	Branch
97.5%	3	`x`
97.5%	3	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
97.5%	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

7.5MiB live, 7.5MiB 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	(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)
1.0ms	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
47.4%	1	`x`
47.4%	1	`(+.f64 (*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x) (/.f64 #s(literal 4 binary64) #s(literal 29 binary64)))`
47.4%	1	`(*.f64 (/.f64 #s(literal 841 binary64) #s(literal 108 binary64)) x)`

Compiler

Compiled 15 to 15 computations (0% saved)

bsearch1.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.06937645231264528	0.20946411977632334
0.0ms	-2.54333695501962	-4.1073131234281813e-7

Compiler

Compiled 12 to 13 computations (-8.3% saved)

simplify24.0ms (0.5%)

Memory

0.9MiB live, 39.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	52
1	25	52

Stop Event

1×

saturated

Calls

Call 1

Inputs

(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 -2 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 3602879701896397/36028797018963968 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 #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 -2 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 3602879701896397/36028797018963968 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 -2 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 3602879701896397/36028797018963968 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))

soundness140.0ms (2.7%)

Memory

17.3MiB live, 146.2MiB 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

Stop Event

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

Compiler

Compiled 64 to 38 computations (40.6% saved)

preprocess46.0ms (0.9%)

Memory: -14.3MiB live, 67.7MiB allocated
Compiler: Compiled 82 to 52 computations (36.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze0.0ms (0%)

sample922.0ms (17.5%)

explain86.0ms (1.6%)

preprocess14.0ms (0.3%)

eval3.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize20.0ms (0.4%)

series73.0ms (1.4%)

simplify5.0ms (0.1%)

rewrite613.0ms (11.7%)

eval164.0ms (3.1%)

prune11.0ms (0.2%)

simplify62.0ms (1.2%)

localize154.0ms (2.9%)

series42.0ms (0.8%)

simplify241.0ms (4.6%)

rewrite192.0ms (3.7%)

eval414.0ms (7.9%)

prune36.0ms (0.7%)

simplify68.0ms (1.3%)

localize172.0ms (3.3%)

series11.0ms (0.2%)

simplify144.0ms (2.7%)

rewrite173.0ms (3.3%)

eval318.0ms (6.1%)

prune165.0ms (3.1%)

simplify110.0ms (2.1%)

localize108.0ms (2.1%)

series13.0ms (0.3%)

simplify201.0ms (3.8%)

rewrite203.0ms (3.9%)

eval220.0ms (4.2%)

prune27.0ms (0.5%)

regimes21.0ms (0.4%)

regimes28.0ms (0.5%)

regimes4.0ms (0.1%)

bsearch1.0ms (0%)

simplify24.0ms (0.5%)

soundness140.0ms (2.7%)

preprocess46.0ms (0.9%)

end0.0ms (0%)

Profiling