Metrics for Numeric.SpecFunctions:invIncompleteBetaWorker from math-functions-0.1.5.2, H

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample619.0ms (13.1%)

Memory

-5.9MiB live, 756.2MiB allocated

Samples

405.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 267.0ms

ival-mult: 155.0ms (57.9% of total)

ival-div: 55.0ms (20.6% of total)

ival-sub: 40.0ms (15% of total)

exact: 8.0ms (3% of total)

ival-true: 6.0ms (2.2% of total)

ival-assert: 3.0ms (1.1% of total)

Bogosity

explain67.0ms (1.4%)

Memory

-35.1MiB live, 88.1MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 6 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
-	-	`(*.f64 x x)`
-	-	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

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

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

24.0ms

512×

valid

Compiler

Compiled 48 to 22 computations (54.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-div: 6.0ms (44% of total)

ival-mult: 4.0ms (29.3% of total)

ival-sub: 2.0ms (14.7% of total)

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

exact: 0.0ms (0% of total)

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

preprocess19.0ms (0.4%)

Memory

22.4MiB live, 22.4MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`associate-/l*`
36×	`distribute-lft-neg-in`
36×	`associate-r`
32×	`sub-neg`
30×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	31	14
2	69	14
3	166	14
4	292	14
5	371	14
6	397	14
7	405	14
0	6	7
0	9	7
1	16	7
2	22	7
3	24	7
0	24	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 8 to 6 computations (25% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Compiler

Compiled 8 to 6 computations (25% saved)

simplify4.0ms (0.1%)

Memory

3.8MiB live, 3.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
cost-diff	128	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Rules

8×	`lower-+.f64`
8×	`lower-+.f32`
6×	`lower-fma.f64`
6×	`lower-/.f32`
6×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	18
0	9	18
1	16	18
2	22	18
3	24	18
0	24	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize20.0ms (0.4%)

Memory

-13.6MiB live, 24.0MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 (*.f64 x x) #s(literal 3 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.07421875	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Samples

12.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-div: 2.0ms (37.7% of total)

ival-mult: 2.0ms (37.7% of total)

ival-sub: 1.0ms (18.8% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#s(alt (-.f64 (.f64 x x) #s(literal 3 binary64)) (patch (-.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) (patch (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())

Inputs

#s(alt (-.f64 (*.f64 x x) #s(literal 3 binary64)) (patch (-.f64 (*.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())

#s(alt (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) (patch (/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) #<representation binary64>) () ())

#s(alt (*.f64 x x) (patch (*.f64 x x) #<representation binary64>) () ())

Outputs
#s(alt -3 (taylor 0 x) (#s(alt (-.f64 (.f64 x x) #s(literal 3 binary64)) (patch (-.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 3) (taylor 0 x) (#s(alt (-.f64 (.f64 x x) #s(literal 3 binary64)) (patch (-.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 3) (taylor 0 x) (#s(alt (-.f64 (.f64 x x) #s(literal 3 binary64)) (patch (-.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 3) (taylor 0 x) (#s(alt (-.f64 (.f64 x x) #s(literal 3 binary64)) (patch (-.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (-.f64 (.f64 x x) #s(literal 3 binary64)) (patch (-.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (-.f64 (.f64 x x) #s(literal 3 binary64)) (patch (-.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (-.f64 (.f64 x x) #s(literal 3 binary64)) (patch (-.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (-.f64 (.f64 x x) #s(literal 3 binary64)) (patch (-.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) #s(literal 3 binary64)) (patch (-.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) #s(literal 3 binary64)) (patch (-.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) #s(literal 3 binary64)) (patch (-.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (-.f64 (.f64 x x) #s(literal 3 binary64)) (patch (-.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) (patch (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) (patch (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) (patch (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) (patch (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) (patch (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) (patch (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) (patch (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) (patch (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) (patch (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) (patch (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) (patch (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64)) (patch (/.f64 (-.f64 (.f64 x x) #s(literal 3 binary64)) #s(literal 6 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 (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(- (* x x) 3)
0.0ms	x	@	0	(/ (- (* x x) 3) 6)
0.0ms	x	@	0	(- (* x x) 3)
0.0ms	x	@	inf	(/ (- (* x x) 3) 6)
0.0ms	x	@	0	(* x x)

simplify145.0ms (3.1%)

Memory

0.9MiB live, 153.3MiB allocated

Algorithm

1×	egg-herbie

Rules

4 388×	`lower-*.f64`
4 388×	`lower-*.f32`
2 828×	`lower-fma.f64`
2 828×	`lower-fma.f32`
1 846×	`cube-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	162
1	43	162
2	98	162
3	235	162
4	748	162
5	1583	162
6	2320	162
7	3495	162
8	4221	162
9	5328	162
10	6382	162
11	7111	162
0	8024	144

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

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

rewrite284.0ms (6%)

Memory

24.7MiB live, 332.5MiB allocated

Rules

5 168×	`lower-/.f32`
5 166×	`lower-/.f64`
4 318×	`lower-*.f32`
4 316×	`lower-*.f64`
4 062×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	42	15
2	230	15
3	1831	15
0	8685	13

Stop Event

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

Counts

3 → 516

Calls

Call 1

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

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

eval90.0ms (1.9%)

Memory: -1.6MiB live, 115.3MiB allocated
Compiler: Compiled 23 906 to 1 639 computations (93.1% saved)

prune87.0ms (1.9%)

Memory

13.4MiB live, 167.9MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	545	7	552
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	546	7	553

Accuracy

100.0%

Counts

553 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
	66.3%	(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
	68.9%	(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) #s(literal 6 binary64))
▶	48.7%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
▶	48.7%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	52.4%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 146 to 90 computations (38.4% saved)

simplify6.0ms (0.1%)

Memory

8.1MiB live, 8.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

22×	`lower-*.f32`
16×	`lower-*.f64`
14×	`lower-fma.f32`
12×	`lower-+.f64`
12×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	92
0	30	86
1	49	86
2	56	86
3	58	86
0	58	86

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize64.0ms (1.3%)

Memory

-19.7MiB live, 94.0MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.0546875	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
accuracy	0.5349586893110315	(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.07421875	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
accuracy	32.78341243815221	#s(approx (- (* x x) 3) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0.19921875	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	32.78050848248194	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	30.489683715459098	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
accuracy	0.03125	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
accuracy	0.265625	(*.f64 x #s(literal 1/6 binary64))

Samples

36.0ms

256×

valid

Compiler

Compiled 82 to 19 computations (76.8% saved)

Precisions

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

const: 7.0ms (28% of total)

ival-mult: 6.0ms (24% of total)

ival-div: 5.0ms (20% of total)

ival-add: 5.0ms (20% of total)

ival-sub: 1.0ms (4% of total)

exact: 1.0ms (4% of total)

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

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

series6.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

11 → 132

Calls

Call 1

Inputs
#s(alt (fma.f64 (.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) (patch #s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 1/6 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (* x x) 3) (.f64 x x)) #s(literal 6 binary64)) (patch (/.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) 3) (.f64 x x)) (patch #s(approx (- ( x x) 3) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal -3 binary64)) (patch (fma.f64 x x #s(literal -3 binary64)) #<representation binary64>) () ())

Outputs
#s(alt -1/2 (taylor 0 x) (#s(alt (fma.f64 (.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (fma.f64 (.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (fma.f64 (.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (fma.f64 (.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) (patch (fma.f64 (.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))) #<representation binary64>) () ())) ())
#s(alt -2 (taylor 0 x) (#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -2/3 (pow x 2)) 2) (taylor 0 x) (#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2) (taylor 0 x) (#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2) (taylor 0 x) (#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 6 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt -3 (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -3 binary64)) (patch (fma.f64 x x #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 3) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -3 binary64)) (patch (fma.f64 x x #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 3) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -3 binary64)) (patch (fma.f64 x x #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 3) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -3 binary64)) (patch (fma.f64 x x #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -3 binary64)) (patch (fma.f64 x x #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -3 binary64)) (patch (fma.f64 x x #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -3 binary64)) (patch (fma.f64 x x #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 x x #s(literal -3 binary64)) (patch (fma.f64 x x #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -3 binary64)) (patch (fma.f64 x x #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -3 binary64)) (patch (fma.f64 x x #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -3 binary64)) (patch (fma.f64 x x #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -3 binary64)) (patch (fma.f64 x x #s(literal -3 binary64)) #<representation binary64>) () ())) ())

Calls

33 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(* x 1/6)
0.0ms	x	@	-inf	(* x 1/6)
0.0ms	x	@	0	(* x 1/6)
0.0ms	x	@	inf	(/ 6 (+ (* x x) -3))
0.0ms	x	@	inf	(* (* x x) 1/6)

simplify189.0ms (4%)

Memory

-6.7MiB live, 194.3MiB allocated

Algorithm

1×	egg-herbie

Rules

6 490×	`lower-fma.f64`
6 490×	`lower-fma.f32`
3 366×	`lower-*.f64`
3 366×	`lower-*.f32`
1 410×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	758
1	115	758
2	245	758
3	512	758
4	1291	758
5	2328	758
6	3227	758
7	4733	758
8	6070	758
9	7961	758
0	8094	689

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
-3
(- (pow x 2) 3)
(- (pow x 2) 3)
(- (pow x 2) 3)
(pow x 2)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
-2
(- (* -2/3 (pow x 2)) 2)
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2)
(/ 6 (pow x 2))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(/ 6 (pow x 2))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
-3
(- (pow x 2) 3)
(- (pow x 2) 3)
(- (pow x 2) 3)
(pow x 2)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow x 2)) 2)
(fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal -2 binary64))
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal -2/9 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2)
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -2/27 binary64)) #s(literal -2/9 binary64)) #s(literal -2/3 binary64))) #s(literal -2 binary64))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 18 binary64) (/.f64 #s(literal 54 binary64) (.f64 x x))) #s(literal 6 binary64)) (*.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 18 binary64) (/.f64 #s(literal 54 binary64) (.f64 x x))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 162 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 18 binary64) (/.f64 #s(literal 54 binary64) (.f64 x x))) #s(literal 6 binary64)) (*.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (.f64 x x)) (+.f64 #s(literal 18 binary64) (/.f64 #s(literal 54 binary64) (.f64 x x))) (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 162 binary64) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (.f64 x x))
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))

rewrite253.0ms (5.4%)

Memory

10.1MiB live, 279.7MiB allocated

Rules

4 554×	`lower-fma.f32`
4 550×	`lower-fma.f64`
3 938×	`lower-*.f32`
3 932×	`lower-*.f64`
2 026×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	77
0	30	71
1	117	71
2	596	71
3	4921	71
0	8462	71

Stop Event

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

Counts

11 → 715

Calls

Call 1

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

Outputs
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal -1/6 binary64) (neg.f64 (.f64 x x))))
(+.f64 #s(literal -1/2 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(+.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))))
(+.f64 (.f64 #s(literal -1/6 binary64) (neg.f64 (.f64 x x))) #s(literal -1/2 binary64))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))))
(exp.f64 (.f64 (log.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(exp.f64 (fma.f64 (neg.f64 (log.f64 (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64) (.f64 (neg.f64 (log.f64 (fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)))) #s(literal -1/2 binary64))))
(-.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 x x) #s(literal -1/6 binary64) #s(literal 1/2 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 6 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x (*.f64 x x))) (fma.f64 x x #s(literal 3 binary64))) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal 6 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 #s(literal 6 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))) (/.f64 #s(literal 27 binary64) (.f64 #s(literal 6 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))))
(-.f64 (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 #s(literal 6 binary64) (.f64 x x) #s(literal 18 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 #s(literal 6 binary64) (*.f64 x x) #s(literal 18 binary64))))
(-.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/216 binary64))) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/8 binary64) (fma.f64 (.f64 x x) (-.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/12 binary64)) #s(literal 1/4 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))) (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64))) (+.f64 #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal -1/6 binary64)))))
(-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64))
(fma.f64 x (/.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/36 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 x (exp.f64 (log.f64 (*.f64 x #s(literal 1/6 binary64)))) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (.f64 x #s(literal 1/6 binary64)) (/.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (.f64 x x) (/.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (*.f64 x x) (exp.f64 (log.f64 #s(literal 1/6 binary64))) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64) #s(literal -1/2 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 x (.f64 x (.f64 x x))) (/.f64 #s(literal 1/36 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (neg.f64 (*.f64 x x)) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 #s(literal -1/6 binary64) (neg.f64 (*.f64 x x)) #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 x x) #s(literal 1/36 binary64)) (/.f64 (.f64 x x) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1/36 binary64) (/.f64 (.f64 x (.f64 x (.f64 x x))) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 x (.f64 (.f64 x x) #s(literal 1/36 binary64))) (/.f64 x (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1/6 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (.f64 x (.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 (.f64 x #s(literal 1/6 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))))
(fma.f64 (/.f64 (.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 1/36 binary64))) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))) (fma.f64 x (.f64 x #s(literal 1/6 binary64)) #s(literal -1/2 binary64)) (neg.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)))))
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(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))) #s(literal -19683 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x)))) (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (*.f64 x x))) #s(literal 27 binary64)) #s(literal 729 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 27 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x x)))) #s(literal -729 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (fma.f64 x (.f64 (.f64 x (.f64 x x)) #s(literal 9 binary64)) #s(literal 81 binary64))))
(/.f64 (.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 x (.f64 x (.f64 x x))) #s(literal -81 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 9 binary64)))
(pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 (-.f64 #s(literal -3 binary64) (.f64 x x)) (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))) #s(literal -1/2 binary64))
(*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))
(.f64 #s(literal -1 binary64) (-.f64 #s(literal 3 binary64) (.f64 x x)))
(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -27 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))
(.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -27 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) #s(literal 1 binary64)))
(.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64))))
(.f64 (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -9 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal 1 binary64)))
(.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)))))
(.f64 (neg.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -27 binary64)))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64))) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -9 binary64)))
(.f64 (-.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -3 binary64) (*.f64 x x))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -9 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64))))
(*.f64 (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -27 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 x (.f64 x (*.f64 x x)) #s(literal -9 binary64))) (fma.f64 x x #s(literal -3 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -27 binary64)) (fma.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)) (.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)) (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64))) (.f64 (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x)))))))) (fma.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)) (-.f64 (fma.f64 #s(literal 3 binary64) (.f64 x x) #s(literal 9 binary64)) (.f64 x (.f64 x (.f64 x x)))) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x (.f64 x (.f64 x x))))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal -27 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) (+.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (.f64 x (.f64 x #s(literal -3 binary64)))))) (+.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (.f64 x (*.f64 x #s(literal -3 binary64)))))
(.f64 (/.f64 (fma.f64 x (.f64 x (.f64 x x)) #s(literal -9 binary64)) (fma.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))) #s(literal 27 binary64))) (fma.f64 x (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal -3 binary64)) #s(literal 9 binary64))))

eval105.0ms (2.2%)

Memory: 4.7MiB live, 190.9MiB allocated
Compiler: Compiled 18 959 to 1 419 computations (92.5% saved)

prune99.0ms (2.1%)

Memory

11.0MiB live, 177.3MiB allocated

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	862	3	865
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	864	8	872

Accuracy

100.0%

Counts

872 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
✓	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
▶	68.9%	(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) #s(literal 6 binary64))
✓	48.7%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	99.8%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)))
✓	48.7%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	48.7%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
✓	52.4%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 71 to 44 computations (38% saved)

simplify143.0ms (3%)

Memory

3.3MiB live, 79.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
cost-diff	384	(/.f64 x #s(literal 6 binary64))
cost-diff	0	(.f64 x (.f64 x x))
cost-diff	0	(fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))))
cost-diff	128	(neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))
cost-diff	384	(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) #s(literal 6 binary64))
cost-diff	0	(fma.f64 x x #s(literal -3 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)))
cost-diff	0	(*.f64 x #s(literal 1/6 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x))

Rules

1 808×	`lower-fma.f32`
1 800×	`lower-fma.f64`
1 376×	`lower-*.f32`
1 366×	`lower-*.f64`
934×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	142
0	46	126
1	84	124
2	122	124
3	212	124
4	369	124
5	716	124
6	1478	124
7	2711	124
8	3271	124
9	3376	124
10	3451	124
11	3516	124
12	3522	124
13	3632	124
14	3658	124
15	3658	124
16	3658	124
0	3658	123

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize87.0ms (1.8%)

Memory

21.4MiB live, 134.5MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x #s(literal 6 binary64))
accuracy	0.03125	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	0.549626218616336	(/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))
accuracy	4.899977653034	(fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))))
accuracy	13.9985327406542	(/.f64 x (fma.f64 x x #s(literal 3 binary64)))
accuracy	0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.0546875	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)))
accuracy	0.09050751953688403	(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))
accuracy	0.48513491000615716	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))
accuracy	0.08984375	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
accuracy	0.265625	(*.f64 x #s(literal 1/6 binary64))
accuracy	32.78050848248194	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x))

Samples

57.0ms

256×

valid

Compiler

Compiled 153 to 30 computations (80.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 13.0ms (36.9% of total)

ival-div: 11.0ms (31.2% of total)

ival-add: 4.0ms (11.3% of total)

const: 3.0ms (8.5% of total)

ival-sub: 1.0ms (2.8% of total)

exact: 1.0ms (2.8% of total)

ival-neg: 1.0ms (2.8% of total)

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

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

series13.0ms (0.3%)

Memory

-17.3MiB live, 19.4MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())
#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 x x #s(literal -3 binary64)) (patch (fma.f64 x x #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) #s(literal 6 binary64)) (patch (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))) (patch (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) (patch (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 x #s(literal 6 binary64)) (patch (/.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())

Outputs
#s(alt -1/2 (taylor 0 x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x #s(literal 1/6 binary64)) x) (patch (.f64 (.f64 x #s(literal 1/6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (.f64 x #s(literal 1/6 binary64)) (patch (.f64 x #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) (patch (/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))) #<representation binary64>) () ())) ())
#s(alt -2 (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -2/3 (pow x 2)) 2) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 6 (pow x 2)) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2)) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2)) (taylor inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/3 (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* -1/9 (pow x 2)) 1/3) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* -1/27 (pow x 2)) 1/9)) 1/3) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (pow x 2)) 1/27)) 1/9)) 1/3) (taylor 0 x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt -3 (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -3 binary64)) (patch (fma.f64 x x #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 3) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -3 binary64)) (patch (fma.f64 x x #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 3) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -3 binary64)) (patch (fma.f64 x x #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 3) (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -3 binary64)) (patch (fma.f64 x x #s(literal -3 binary64)) #<representation binary64>) () ())) ())
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#s(alt -1/2 (taylor 0 x) (#s(alt (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 x) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/3 (* -1/9 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/3 (* (pow x 2) (- (* 1/27 (pow x 2)) 1/9)))) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/27 (* -1/81 (pow x 2)))) 1/9)))) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* 3 (/ 1 (pow x 2)))) x) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 9 (pow x 4))) (* 3 (/ 1 (pow x 2)))) x) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 9 (pow x 4))) (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6))))) x) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 3 (/ 1 (pow x 2))) 1) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 3 (/ 1 (pow x 2))) (+ 1 (/ 9 (pow x 4)))) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6)))) (+ 1 (/ 9 (pow x 4)))) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt 3 (taylor 0 x) (#s(alt (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* (pow x 2) (- (* 1/3 (pow x 2)) 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -1/9 (pow x 2)))) 1))) (taylor 0 x) (#s(alt (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 9 (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 9 (* 27 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 9 (/ 81 (pow x 4))) (* 27 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 9 (/ 81 (pow x 4))) (+ (* 27 (/ 1 (pow x 2))) (* 243 (/ 1 (pow x 6))))) (pow x 2)) (taylor inf x) (#s(alt (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 9 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 9 (* 27 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 9 (/ 81 (pow x 4))) (* 27 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 9 (/ 81 (pow x 4))) (+ (* 27 (/ 1 (pow x 2))) (* 243 (/ 1 (pow x 6))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())

Calls

45 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(/ (+ (* (* x (* x x)) (/ x (+ (* x x) 3))) (neg (/ 9 (+ (* x x) 3)))) 6)
1.0ms	x	@	-inf	(/ 9 (+ (* x x) 3))
1.0ms	x	@	inf	(/ (+ (* (* x (* x x)) (/ x (+ (* x x) 3))) (neg (/ 9 (+ (* x x) 3)))) 6)
1.0ms	x	@	inf	(/ 1 (+ (* x x) -3))
0.0ms	x	@	-inf	(* x (* x x))

simplify196.0ms (4.2%)

Memory

12.0MiB live, 269.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 946×	`lower-fma.f64`
7 946×	`lower-fma.f32`
2 690×	`lower-*.f64`
2 690×	`lower-*.f32`
2 446×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	166	1317
1	404	1316
2	992	1308
3	2641	1308
4	6017	1308
0	8160	1227

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
-2
(- (* -2/3 (pow x 2)) 2)
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2)
(/ 6 (pow x 2))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(/ 6 (pow x 2))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
-1/3
(- (* -1/9 (pow x 2)) 1/3)
(- (* (pow x 2) (- (* -1/27 (pow x 2)) 1/9)) 1/3)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (pow x 2)) 1/27)) 1/9)) 1/3)
(/ 1 (pow x 2))
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2))
-3
(- (pow x 2) 3)
(- (pow x 2) 3)
(- (pow x 2) 3)
(pow x 2)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
-3
(- (pow x 2) 3)
(- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 3)
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3)))) 3)
(/ -9 (pow x 2))
(/ (- (* 27 (/ 1 (pow x 2))) 9) (pow x 2))
(/ (- (* 27 (/ 1 (pow x 2))) (+ 9 (/ 81 (pow x 4)))) (pow x 2))
(/ (- (+ (* 27 (/ 1 (pow x 2))) (* 243 (/ 1 (pow x 6)))) (+ 9 (/ 81 (pow x 4)))) (pow x 2))
(/ -9 (pow x 2))
(/ (- (* 27 (/ 1 (pow x 2))) 9) (pow x 2))
(/ (- (* 27 (/ 1 (pow x 2))) (+ 9 (/ 81 (pow x 4)))) (pow x 2))
(/ (- (+ (* 27 (/ 1 (pow x 2))) (* 243 (/ 1 (pow x 6)))) (+ 9 (/ 81 (pow x 4)))) (pow x 2))
-3
(- (pow x 2) 3)
(- (pow x 2) 3)
(- (pow x 2) 3)
(pow x 2)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* 1/3 x)
(* x (+ 1/3 (* -1/9 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (- (* 1/27 (pow x 2)) 1/9))))
(* x (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/27 (* -1/81 (pow x 2)))) 1/9))))
(/ 1 x)
(/ (- 1 (* 3 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 9 (pow x 4))) (* 3 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 9 (pow x 4))) (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6))))) x)
(/ 1 x)
(* -1 (/ (- (* 3 (/ 1 (pow x 2))) 1) x))
(* -1 (/ (- (* 3 (/ 1 (pow x 2))) (+ 1 (/ 9 (pow x 4)))) x))
(* -1 (/ (- (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6)))) (+ 1 (/ 9 (pow x 4)))) x))
3
(+ 3 (* -1 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -1/9 (pow x 2)))) 1)))
(/ 9 (pow x 2))
(/ (- 9 (* 27 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 9 (/ 81 (pow x 4))) (* 27 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 9 (/ 81 (pow x 4))) (+ (* 27 (/ 1 (pow x 2))) (* 243 (/ 1 (pow x 6))))) (pow x 2))
(/ 9 (pow x 2))
(/ (- 9 (* 27 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 9 (/ 81 (pow x 4))) (* 27 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 9 (/ 81 (pow x 4))) (+ (* 27 (/ 1 (pow x 2))) (* 243 (/ 1 (pow x 6))))) (pow x 2))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow x 2)) 2)
(fma.f64 x (*.f64 x #s(literal -2/3 binary64)) #s(literal -2 binary64))
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -2/9 binary64)) #s(literal -2/3 binary64)) #s(literal -2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -2/27 binary64) #s(literal -2/9 binary64))) #s(literal -2/3 binary64)) #s(literal -2 binary64))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 18 binary64) (.f64 x x)) (/.f64 #s(literal 54 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 54 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 162 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 x x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal 6 binary64) (+.f64 (/.f64 #s(literal 18 binary64) (.f64 x x)) (/.f64 #s(literal 54 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 54 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 162 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 x x))
-1/3
#s(literal -1/3 binary64)
(- (* -1/9 (pow x 2)) 1/3)
(fma.f64 x (*.f64 x #s(literal -1/9 binary64)) #s(literal -1/3 binary64))
(- (* (pow x 2) (- (* -1/27 (pow x 2)) 1/9)) 1/3)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x #s(literal -1/27 binary64)) #s(literal -1/9 binary64)) #s(literal -1/3 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (pow x 2)) 1/27)) 1/9)) 1/3)
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x (fma.f64 (*.f64 x x) #s(literal -1/81 binary64) #s(literal -1/27 binary64))) #s(literal -1/9 binary64)) #s(literal -1/3 binary64))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) (/.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 27 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 x x))
(/ 1 (pow x 2))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) (/.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (.f64 x x))) (+.f64 (/.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal 27 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 x x))
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 3)
(fma.f64 x (fma.f64 x (.f64 (.f64 x x) #s(literal -1/3 binary64)) x) #s(literal -3 binary64))
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3)))) 3)
(fma.f64 x (fma.f64 (.f64 x x) (.f64 x (fma.f64 x (*.f64 x #s(literal 1/9 binary64)) #s(literal -1/3 binary64))) x) #s(literal -3 binary64))
(/ -9 (pow x 2))
(/.f64 #s(literal -9 binary64) (*.f64 x x))
(/ (- (* 27 (/ 1 (pow x 2))) 9) (pow x 2))
(/.f64 (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 27 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* 27 (/ 1 (pow x 2))) (+ 9 (/ 81 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal -9 binary64) (-.f64 (/.f64 #s(literal 27 binary64) (.f64 x x)) (/.f64 #s(literal 81 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ (- (+ (* 27 (/ 1 (pow x 2))) (* 243 (/ 1 (pow x 6)))) (+ 9 (/ 81 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal -9 binary64) (+.f64 (/.f64 #s(literal 243 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (/.f64 #s(literal 27 binary64) (.f64 x x)) (/.f64 #s(literal 81 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 x x))
(/ -9 (pow x 2))
(/.f64 #s(literal -9 binary64) (*.f64 x x))
(/ (- (* 27 (/ 1 (pow x 2))) 9) (pow x 2))
(/.f64 (+.f64 #s(literal -9 binary64) (/.f64 #s(literal 27 binary64) (.f64 x x))) (.f64 x x))
(/ (- (* 27 (/ 1 (pow x 2))) (+ 9 (/ 81 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal -9 binary64) (-.f64 (/.f64 #s(literal 27 binary64) (.f64 x x)) (/.f64 #s(literal 81 binary64) (.f64 x (.f64 x (.f64 x x)))))) (*.f64 x x))
(/ (- (+ (* 27 (/ 1 (pow x 2))) (* 243 (/ 1 (pow x 6)))) (+ 9 (/ 81 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 #s(literal -9 binary64) (+.f64 (/.f64 #s(literal 243 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))) (-.f64 (/.f64 #s(literal 27 binary64) (.f64 x x)) (/.f64 #s(literal 81 binary64) (.f64 x (.f64 x (.f64 x x))))))) (.f64 x x))
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 x x #s(literal -3 binary64))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(pow x 3)
(.f64 x (.f64 x x))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/3 x)
(*.f64 x #s(literal 1/3 binary64))
(* x (+ 1/3 (* -1/9 (pow x 2))))
(.f64 x (fma.f64 x (.f64 x #s(literal -1/9 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (- (* 1/27 (pow x 2)) 1/9))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (*.f64 x x) #s(literal 1/27 binary64) #s(literal -1/9 binary64)) #s(literal 1/3 binary64)))
(* x (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/27 (* -1/81 (pow x 2)))) 1/9))))
(.f64 x (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) #s(literal -1/81 binary64) #s(literal 1/27 binary64)) #s(literal -1/9 binary64)) #s(literal 1/3 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 3 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (*.f64 x x))) x)
(/ (- (+ 1 (/ 9 (pow x 4))) (* 3 (/ 1 (pow x 2)))) x)
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -3 binary64) (.f64 x x)))) x)
(/ (- (+ 1 (/ 9 (pow x 4))) (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6))))) x)
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -3 binary64) (.f64 x x)))) (/.f64 #s(literal -27 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 3 (/ 1 (pow x 2))) 1) x))
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* 3 (/ 1 (pow x 2))) (+ 1 (/ 9 (pow x 4)))) x))
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -3 binary64) (.f64 x x)))) x)
(* -1 (/ (- (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6)))) (+ 1 (/ 9 (pow x 4)))) x))
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 9 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -3 binary64) (.f64 x x)))) (/.f64 #s(literal -27 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (*.f64 x x)))))) x)
3
#s(literal 3 binary64)
(+ 3 (* -1 (pow x 2)))
(-.f64 #s(literal 3 binary64) (*.f64 x x))
(+ 3 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x #s(literal 1/3 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -1/9 (pow x 2)))) 1)))
(fma.f64 x (.f64 x (fma.f64 (.f64 x x) (fma.f64 x (*.f64 x #s(literal -1/9 binary64)) #s(literal 1/3 binary64)) #s(literal -1 binary64))) #s(literal 3 binary64))
(/ 9 (pow x 2))
(/.f64 #s(literal 9 binary64) (*.f64 x x))
(/ (- 9 (* 27 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -27 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 9 (/ 81 (pow x 4))) (* 27 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 81 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -27 binary64) (.f64 x x)))) (*.f64 x x))
(/ (- (+ 9 (/ 81 (pow x 4))) (+ (* 27 (/ 1 (pow x 2))) (* 243 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 81 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -27 binary64) (.f64 x x))) (/.f64 #s(literal -243 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 x x))
(/ 9 (pow x 2))
(/.f64 #s(literal 9 binary64) (*.f64 x x))
(/ (- 9 (* 27 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -27 binary64) (.f64 x x))) (.f64 x x))
(/ (- (+ 9 (/ 81 (pow x 4))) (* 27 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (+.f64 #s(literal 9 binary64) (+.f64 (/.f64 #s(literal 81 binary64) (.f64 x (.f64 x (.f64 x x)))) (/.f64 #s(literal -27 binary64) (.f64 x x)))) (*.f64 x x))
(/ (- (+ 9 (/ 81 (pow x 4))) (+ (* 27 (/ 1 (pow x 2))) (* 243 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 81 binary64) (.f64 x (.f64 x (.f64 x x)))) (+.f64 (+.f64 #s(literal 9 binary64) (/.f64 #s(literal -27 binary64) (.f64 x x))) (/.f64 #s(literal -243 binary64) (.f64 (.f64 x x) (.f64 x (.f64 x (.f64 x x))))))) (.f64 x x))

rewrite283.0ms (6%)

Memory

9.2MiB live, 451.2MiB allocated

Rules

5 650×	`lower-fma.f32`
5 642×	`lower-fma.f64`
3 720×	`lower-/.f32`
3 708×	`lower-/.f64`
3 394×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	122
0	46	82
1	182	82
2	1134	82
0	8546	82

Stop Event

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

Counts

15 → 1 033

Calls

Call 1

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

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

eval160.0ms (3.4%)

Memory: 4.8MiB live, 326.9MiB allocated
Compiler: Compiled 37 746 to 2 727 computations (92.8% saved)

prune134.0ms (2.8%)

Memory

-0.1MiB live, 280.2MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	1 210	3	1 213
Fresh	0	0	0
Picked	3	1	4
Done	0	4	4
Total	1 213	8	1 221

Accuracy

100.0%

Counts

1 221 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
▶	68.3%	(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64))
✓	48.7%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	48.7%	#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
▶	48.7%	#s(approx (/ (- (* x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x))
✓	48.7%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	48.7%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
✓	52.4%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 62 to 37 computations (40.3% saved)

simplify13.0ms (0.3%)

Memory

21.1MiB live, 21.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 x (.f64 x x))
cost-diff	0	(fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)))
cost-diff	0	(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64))
cost-diff	0	(/.f64 #s(literal 6 binary64) x)
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
cost-diff	384	(/.f64 x (/.f64 #s(literal 6 binary64) x))
cost-diff	0	(/.f64 x #s(literal 6 binary64))
cost-diff	0	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x))

Rules

100×	`lower-+.f64`
100×	`lower-+.f32`
88×	`lower-fma.f32`
84×	`lower-fma.f64`
60×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	121
0	36	112
1	62	110
2	89	110
3	117	110
4	132	110
5	148	110
6	165	110
7	196	110
8	222	110
9	255	110
10	262	110
11	264	110
0	264	108

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize267.0ms (5.7%)

Memory

-23.3MiB live, 90.5MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.1015625	(.f64 x (.f64 x x))
accuracy	4.899977653034	(fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)))
accuracy	13.9985327406542	(/.f64 x (fma.f64 x x #s(literal 3 binary64)))
accuracy	29.453654455839647	#s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))
accuracy	0	(/.f64 #s(literal 6 binary64) x)
accuracy	0.140625	(/.f64 x (/.f64 #s(literal 6 binary64) x))
accuracy	32.78050848248194	#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
accuracy	0	(/.f64 x #s(literal 6 binary64))
accuracy	0.08984375	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
accuracy	32.78050848248194	#s(approx (/ (- (* x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x))

Samples

244.0ms

256×

valid

Compiler

Compiled 114 to 22 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-div: 11.0ms (42.8% of total)

ival-mult: 10.0ms (38.9% of total)

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

ival-sub: 1.0ms (3.9% of total)

exact: 1.0ms (3.9% of total)

ival-neg: 1.0ms (3.9% of total)

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

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

series5.0ms (0.1%)

Memory

10.9MiB live, 10.9MiB allocated

Counts

12 → 144

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (/.f64 x #s(literal 6 binary64)) x)) (patch #s(approx (/ (- ( x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 x #s(literal 6 binary64)) x) (patch (.f64 (/.f64 x #s(literal 6 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 x #s(literal 6 binary64)) (patch (/.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 #s(literal 6 binary64) x)) (patch (/.f64 x (/.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) (patch #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 6 binary64) x) (patch (/.f64 #s(literal 6 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) (patch (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #<representation binary64>) () ())
#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) (patch #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())

Outputs
#s(alt -1/2 (taylor 0 x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (/.f64 x #s(literal 6 binary64)) x)) (patch #s(approx (/ (- ( x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (/.f64 x #s(literal 6 binary64)) x)) (patch #s(approx (/ (- ( x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (/.f64 x #s(literal 6 binary64)) x)) (patch #s(approx (/ (- ( x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (/.f64 x #s(literal 6 binary64)) x)) (patch #s(approx (/ (- ( x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (/.f64 x #s(literal 6 binary64)) x)) (patch #s(approx (/ (- ( x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (/.f64 x #s(literal 6 binary64)) x)) (patch #s(approx (/ (- ( x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (/.f64 x #s(literal 6 binary64)) x)) (patch #s(approx (/ (- ( x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (/.f64 x #s(literal 6 binary64)) x)) (patch #s(approx (/ (- ( x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (/.f64 x #s(literal 6 binary64)) x)) (patch #s(approx (/ (- ( x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (/.f64 x #s(literal 6 binary64)) x)) (patch #s(approx (/ (- ( x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (/.f64 x #s(literal 6 binary64)) x)) (patch #s(approx (/ (- ( x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (/.f64 x #s(literal 6 binary64)) x)) (patch #s(approx (/ (- ( x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 x #s(literal 6 binary64)) x) (patch (.f64 (/.f64 x #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 x #s(literal 6 binary64)) x) (patch (.f64 (/.f64 x #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 x #s(literal 6 binary64)) x) (patch (.f64 (/.f64 x #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 x #s(literal 6 binary64)) x) (patch (.f64 (/.f64 x #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (.f64 (/.f64 x #s(literal 6 binary64)) x) (patch (.f64 (/.f64 x #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (.f64 (/.f64 x #s(literal 6 binary64)) x) (patch (.f64 (/.f64 x #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (.f64 (/.f64 x #s(literal 6 binary64)) x) (patch (.f64 (/.f64 x #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (.f64 (/.f64 x #s(literal 6 binary64)) x) (patch (.f64 (/.f64 x #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 x #s(literal 6 binary64)) x) (patch (.f64 (/.f64 x #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 x #s(literal 6 binary64)) x) (patch (.f64 (/.f64 x #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 x #s(literal 6 binary64)) x) (patch (.f64 (/.f64 x #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (/.f64 x #s(literal 6 binary64)) x) (patch (.f64 (/.f64 x #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 6 binary64)) (patch (/.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 6 binary64)) (patch (/.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 6 binary64)) (patch (/.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor 0 x) (#s(alt (/.f64 x #s(literal 6 binary64)) (patch (/.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 6 binary64)) (patch (/.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 6 binary64)) (patch (/.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 6 binary64)) (patch (/.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor inf x) (#s(alt (/.f64 x #s(literal 6 binary64)) (patch (/.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 6 binary64)) (patch (/.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 6 binary64)) (patch (/.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 6 binary64)) (patch (/.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 x) (taylor -inf x) (#s(alt (/.f64 x #s(literal 6 binary64)) (patch (/.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 6 binary64) x)) (patch (/.f64 x (/.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 6 binary64) x)) (patch (/.f64 x (/.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 6 binary64) x)) (patch (/.f64 x (/.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 6 binary64) x)) (patch (/.f64 x (/.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 6 binary64) x)) (patch (/.f64 x (/.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 6 binary64) x)) (patch (/.f64 x (/.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 6 binary64) x)) (patch (/.f64 x (/.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (/.f64 x (/.f64 #s(literal 6 binary64) x)) (patch (/.f64 x (/.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 6 binary64) x)) (patch (/.f64 x (/.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 6 binary64) x)) (patch (/.f64 x (/.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 6 binary64) x)) (patch (/.f64 x (/.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 x (/.f64 #s(literal 6 binary64) x)) (patch (/.f64 x (/.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) (patch #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) (patch #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) (patch #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) (patch #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) (patch #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) (patch #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) (patch #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) (patch #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) (patch #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) (patch #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) (patch #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) (patch #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) #<representation binary64>) () ())) ())
#s(alt (/ 6 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 6 binary64) x) (patch (/.f64 #s(literal 6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 6 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 6 binary64) x) (patch (/.f64 #s(literal 6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 6 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 6 binary64) x) (patch (/.f64 #s(literal 6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 6 x) (taylor 0 x) (#s(alt (/.f64 #s(literal 6 binary64) x) (patch (/.f64 #s(literal 6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 6 x) (taylor inf x) (#s(alt (/.f64 #s(literal 6 binary64) x) (patch (/.f64 #s(literal 6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 6 x) (taylor inf x) (#s(alt (/.f64 #s(literal 6 binary64) x) (patch (/.f64 #s(literal 6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 6 x) (taylor inf x) (#s(alt (/.f64 #s(literal 6 binary64) x) (patch (/.f64 #s(literal 6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 6 x) (taylor inf x) (#s(alt (/.f64 #s(literal 6 binary64) x) (patch (/.f64 #s(literal 6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 6 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 6 binary64) x) (patch (/.f64 #s(literal 6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 6 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 6 binary64) x) (patch (/.f64 #s(literal 6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 6 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 6 binary64) x) (patch (/.f64 #s(literal 6 binary64) x) #<representation binary64>) () ())) ())
#s(alt (/ 6 x) (taylor -inf x) (#s(alt (/.f64 #s(literal 6 binary64) x) (patch (/.f64 #s(literal 6 binary64) x) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) (patch (/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt -3 (taylor 0 x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) (patch (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 3) (taylor 0 x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) (patch (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 3) (taylor 0 x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) (patch (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 3) (taylor 0 x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) (patch (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) (patch (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) (patch (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) (patch (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) (patch (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) (patch (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) (patch (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) (patch (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) (patch (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 x (.f64 x x)) (patch (.f64 x (.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 (pow x 2) (taylor 0 x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())) ())
#s(alt -3 (taylor 0 x) (#s(alt #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) (patch #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 3) (taylor 0 x) (#s(alt #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) (patch #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 3) (taylor 0 x) (#s(alt #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) (patch #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3)))) 3) (taylor 0 x) (#s(alt #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) (patch #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -9 (pow x 2)) (taylor inf x) (#s(alt #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) (patch #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 27 (/ 1 (pow x 2))) 9) (pow x 2)) (taylor inf x) (#s(alt #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) (patch #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 27 (/ 1 (pow x 2))) (+ 9 (/ 81 (pow x 4)))) (pow x 2)) (taylor inf x) (#s(alt #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) (patch #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 27 (/ 1 (pow x 2))) (* 243 (/ 1 (pow x 6)))) (+ 9 (/ 81 (pow x 4)))) (pow x 2)) (taylor inf x) (#s(alt #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) (patch #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -9 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) (patch #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 27 (/ 1 (pow x 2))) 9) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) (patch #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 27 (/ 1 (pow x 2))) (+ 9 (/ 81 (pow x 4)))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) (patch #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 27 (/ 1 (pow x 2))) (* 243 (/ 1 (pow x 6)))) (+ 9 (/ 81 (pow x 4)))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) (patch #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/3 x) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/3 (* -1/9 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/3 (* (pow x 2) (- (* 1/27 (pow x 2)) 1/9)))) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/27 (* -1/81 (pow x 2)))) 1/9)))) (taylor 0 x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- 1 (* 3 (/ 1 (pow x 2)))) x) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 9 (pow x 4))) (* 3 (/ 1 (pow x 2)))) x) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ 1 (/ 9 (pow x 4))) (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6))))) x) (taylor inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 3 (/ 1 (pow x 2))) 1) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 3 (/ 1 (pow x 2))) (+ 1 (/ 9 (pow x 4)))) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6)))) (+ 1 (/ 9 (pow x 4)))) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ 6 x)
0.0ms	x	@	-inf	(/ 6 x)
0.0ms	x	@	inf	(/ 6 x)
0.0ms	x	@	0	(/ x (/ 6 x))
0.0ms	x	@	inf	(/ x (/ 6 x))

simplify261.0ms (5.5%)

Memory

-5.1MiB live, 279.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 848×	`lower-fma.f64`
9 848×	`lower-fma.f32`
3 062×	`lower-+.f64`
3 062×	`lower-+.f32`
2 606×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	96	832
1	250	832
2	607	828
3	1631	828
4	4034	828
5	7875	828
0	8379	780

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

rewrite243.0ms (5.2%)

Memory

19.0MiB live, 377.8MiB allocated

Rules

6 152×	`lower-fma.f32`
6 148×	`lower-fma.f64`
5 328×	`lower-*.f32`
5 322×	`lower-*.f64`
3 898×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	109
0	36	100
1	129	98
2	758	98
0	8423	96

Stop Event

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

Counts

12 → 442

Calls

Call 1

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

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

eval73.0ms (1.6%)

Memory: 8.2MiB live, 165.1MiB allocated
Compiler: Compiled 15 576 to 1 185 computations (92.4% saved)

prune68.0ms (1.5%)

Memory

-6.4MiB live, 157.5MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	585	1	586
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	586	8	594

Accuracy

100.0%

Counts

594 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
✓	48.7%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
✓	48.7%	#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
	48.6%	#s(approx (/ (- (* x x) 3) 6) (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))))
✓	48.7%	#s(approx (/ (- (* x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x))
✓	48.7%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	48.7%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
✓	52.4%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 186 to 79 computations (57.5% saved)

regimes24.0ms (0.5%)

Memory

-37.4MiB live, 43.4MiB allocated

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
#s(approx (/ (- (* x x) 3) 6) (/.f64 x (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x (.f64 x x))) #s(literal 1/36 binary64) #s(literal -1/4 binary64)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #s(approx (neg (/ 9 (+ (* x x) 3))) #s(literal -3 binary64))) #s(literal 6 binary64))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) #s(literal 6 binary64))

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

Calls

4 calls:

8.0ms	(*.f64 x x)
5.0ms	x
4.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
4.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
100.0%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes10.0ms (0.2%)

Memory

23.2MiB live, 23.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

3.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
2.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.9%	1	`x`
99.9%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.9%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.9%	1	`(*.f64 x x)`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes7.0ms (0.1%)

Memory

16.3MiB live, 16.3MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

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

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

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

Calls

4 calls:

2.0ms	x
2.0ms	(*.f64 x x)
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.2%	2	`x`
99.2%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.2%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.2%	2	`(*.f64 x x)`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes5.0ms (0.1%)

Memory

-24.8MiB live, 14.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	(*.f64 x x)
1.0ms	x
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
52.4%	1	`x`
52.4%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
52.4%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
52.4%	1	`(*.f64 x x)`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.054309791109119175	15266462.05484432

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify6.0ms (0.1%)

Memory

15.1MiB live, 15.1MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	49
1	21	49

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(if (<=.f64 (.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (- ( x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Outputs
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(if (<=.f64 (.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (- ( x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x #s(literal 1/6 binary64)) x)))
(if (<=.f64 (.f64 x x) #s(literal 3602879701896397/36028797018963968 binary64)) #s(approx (/ (- ( x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 x (.f64 x #s(literal 1/6 binary64)))))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

soundness577.0ms (12.2%)

Memory

-13.3MiB live, 335.7MiB allocated

Rules

5 168×	`lower-/.f32`
5 166×	`lower-/.f64`
4 554×	`lower-fma.f32`
4 550×	`lower-fma.f64`
4 388×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	77
0	30	71
1	117	71
2	596	71
3	4921	71
0	8462	71
0	19	162
1	43	162
2	98	162
3	235	162
4	748	162
5	1583	162
6	2320	162
7	3495	162
8	4221	162
9	5328	162
10	6382	162
11	7111	162
0	8024	144
0	6	15
0	9	15
1	42	15
2	230	15
3	1831	15
0	8685	13

Stop Event

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

Compiler

Compiled 87 to 53 computations (39.1% saved)

preprocess74.0ms (1.6%)

Memory: -42.1MiB live, 48.1MiB allocated
Remove: (abs x)
Compiler: Compiled 88 to 48 computations (45.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	8	14
1	31	14
2	69	14
3	166	14
4	292	14
5	371	14
6	397	14
7	405	14
0	6	7
0	9	7
1	16	7
2	22	7
3	24	7
0	24	6

Iter	Nodes	Cost
0	24	121
0	36	112
1	62	110
2	89	110
3	117	110
4	132	110
5	148	110
6	165	110
7	196	110
8	222	110
9	255	110
10	262	110
11	264	110
0	264	108

Iter	Nodes	Cost
0	8	14
1	31	14
2	69	14
3	166	14
4	292	14
5	371	14
6	397	14
7	405	14
0	6	7
0	9	7
1	16	7
2	22	7
3	24	7
0	24	6

Iter	Nodes	Cost
0	24	121
0	36	112
1	62	110
2	89	110
3	117	110
4	132	110
5	148	110
6	165	110
7	196	110
8	222	110
9	255	110
10	262	110
11	264	110
0	264	108

start0.0ms (0%)

analyze0.0ms (0%)

sample619.0ms (13.1%)

explain67.0ms (1.4%)

preprocess19.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize20.0ms (0.4%)

series2.0ms (0%)

simplify145.0ms (3.1%)

rewrite284.0ms (6%)

eval90.0ms (1.9%)

prune87.0ms (1.9%)

simplify6.0ms (0.1%)

localize64.0ms (1.3%)

series6.0ms (0.1%)

simplify189.0ms (4%)

rewrite253.0ms (5.4%)

eval105.0ms (2.2%)

prune99.0ms (2.1%)

simplify143.0ms (3%)

localize87.0ms (1.8%)

series13.0ms (0.3%)

simplify196.0ms (4.2%)

rewrite283.0ms (6%)

eval160.0ms (3.4%)

prune134.0ms (2.8%)

simplify13.0ms (0.3%)

localize267.0ms (5.7%)

series5.0ms (0.1%)

simplify261.0ms (5.5%)

rewrite243.0ms (5.2%)

eval73.0ms (1.6%)

prune68.0ms (1.5%)

regimes24.0ms (0.5%)

regimes10.0ms (0.2%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

soundness577.0ms (12.2%)

preprocess74.0ms (1.6%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	8	14
1	31	14
2	69	14
3	166	14
4	292	14
5	371	14
6	397	14
7	405	14
0	6	7
0	9	7
1	16	7
2	22	7
3	24	7
0	24	6

Iter	Nodes	Cost
0	24	121
0	36	112
1	62	110
2	89	110
3	117	110
4	132	110
5	148	110
6	165	110
7	196	110
8	222	110
9	255	110
10	262	110
11	264	110
0	264	108