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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample664.0ms (13.6%)

Memory

30.6MiB live, 931.8MiB allocated

Samples

450.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 279.0ms

ival-sub: 116.0ms (41.6% of total)

ival-div: 78.0ms (28% of total)

ival-mult: 68.0ms (24.4% of total)

exact: 8.0ms (2.9% of total)

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

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

Bogosity

explain83.0ms (1.7%)

Memory

-2.4MiB live, 116.1MiB 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

38.0ms

512×

valid

Compiler

Compiled 48 to 22 computations (54.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 17.0ms (71.5% of total)

ival-div: 3.0ms (12.6% of total)

ival-sub: 2.0ms (8.4% of total)

ival-true: 1.0ms (4.2% of total)

exact: 1.0ms (4.2% of total)

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

preprocess22.0ms (0.4%)

Memory

0.3MiB live, 36.9MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`associate-/l*`
18×	`distribute-lft-neg-in`
18×	`associate-r`
16×	`sub-neg`
15×	`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 (/.f64 x #s(literal 6 binary64)) x #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

1.2MiB live, 1.2MiB 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)

simplify3.0ms (0.1%)

Memory

4.1MiB live, 4.1MiB 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

4×	`lower-+.f64`
4×	`lower-+.f32`
3×	`lower-fma.f64`
3×	`lower-/.f32`
3×	`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 (/.f64 x #s(literal 6 binary64)) x #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

-2.0MiB live, 35.3MiB 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	0.06640625	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Samples

13.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (34.5% of total)

ival-mult: 2.0ms (34.5% of total)

ival-sub: 1.0ms (17.2% 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

5.5MiB live, 5.5MiB 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	@	inf	(* x x)

simplify131.0ms (2.7%)

Memory

-32.4MiB live, 118.4MiB allocated

Algorithm

1×	egg-herbie

Rules

2 194×	`lower-*.f64`
2 194×	`lower-*.f32`
1 414×	`lower-fma.f64`
1 414×	`lower-fma.f32`
923×	`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 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 #s(literal 1/6 binary64) 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 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) 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 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #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)

rewrite221.0ms (4.5%)

Memory

22.7MiB live, 335.3MiB allocated

Rules

2 584×	`lower-/.f32`
2 583×	`lower-/.f64`
2 159×	`lower-*.f32`
2 158×	`lower-*.f64`
2 031×	`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 (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 binary64) (neg.f64 (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)) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -27 binary64))))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (.f64 x x) x) x #s(literal 9 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)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -3 binary64)))
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(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (.f64 (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (.f64 x x) x) x #s(literal 9 binary64))) #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 x x) (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 27 binary64)) (.f64 (.f64 x x) x) #s(literal 729 binary64))))) (/.f64 #s(literal 19683 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (.f64 x x) x) x #s(literal 9 binary64))) #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 x x) (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 27 binary64)) (.f64 (*.f64 x x) x) #s(literal 729 binary64))))))
(-.f64 (/.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/4 binary64) (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) x) (.f64 x #s(literal 9 binary64)) #s(literal 81 binary64))))) (/.f64 #s(literal 729 binary64) (.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) x) (*.f64 x #s(literal 9 binary64)) #s(literal 81 binary64))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (.f64 x x) x) x #s(literal 9 binary64))) #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 27 binary64)))) (/.f64 #s(literal 729 binary64) (.f64 (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (.f64 x x) x) x #s(literal 9 binary64))) #s(literal 6 binary64)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 x x) x) #s(literal 27 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 6 binary64) (neg.f64 (fma.f64 x x #s(literal 3 binary64))))) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (.f64 #s(literal 6 binary64) (neg.f64 (fma.f64 x x #s(literal 3 binary64))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -6 binary64) (fma.f64 x x #s(literal 3 binary64)))) (.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1/6 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (neg.f64 (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal 6 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (.f64 x x) x) x #s(literal 9 binary64)))))) (/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -27 binary64)) (.f64 #s(literal 6 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (.f64 x x) x) x #s(literal 9 binary64)))))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 #s(literal -6 binary64) (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (.f64 x x) x) x #s(literal 9 binary64))))) (*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1/6 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (.f64 x x) x) x #s(literal 9 binary64))) #s(literal 6 binary64)))) (/.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -27 binary64)) (neg.f64 (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (.f64 x x) x) x #s(literal 9 binary64))) #s(literal 6 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 (.f64 x x) x) x #s(literal 9 binary64))) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 81 binary64) (fma.f64 (.f64 (.f64 x x) x) x #s(literal 9 binary64))) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) x) (.f64 x #s(literal 9 binary64)) #s(literal 81 binary64)))) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x) (fma.f64 (.f64 (.f64 x x) x) (.f64 x #s(literal 9 binary64)) #s(literal 81 binary64)))) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 27 binary64))) (.f64 #s(literal 6 binary64) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (.f64 x x)))))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 27 binary64))) (.f64 #s(literal 6 binary64) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (*.f64 x x)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 x x) (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 27 binary64)) (.f64 (.f64 x x) x) #s(literal 729 binary64)))) (.f64 #s(literal 6 binary64) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (.f64 x x)))))) (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 x x) (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 27 binary64)) (.f64 (.f64 x x) x) #s(literal 729 binary64)))) (.f64 #s(literal 6 binary64) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (*.f64 x x)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal 6 binary64) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (.f64 x x)))))) (/.f64 #s(literal 27 binary64) (.f64 #s(literal 6 binary64) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (*.f64 x x)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 27 binary64))) (.f64 #s(literal -6 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (.f64 x x) x) x #s(literal 9 binary64)))))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 27 binary64))) (.f64 #s(literal -6 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (*.f64 x x) x) x #s(literal 9 binary64)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 x x) (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 27 binary64)) (.f64 (.f64 x x) x) #s(literal 729 binary64)))) (.f64 #s(literal -6 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (.f64 x x) x) x #s(literal 9 binary64)))))) (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 x x) (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 27 binary64)) (.f64 (.f64 x x) x) #s(literal 729 binary64)))) (.f64 #s(literal -6 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (*.f64 x x) x) x #s(literal 9 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 #s(literal -6 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (.f64 x x) x) x #s(literal 9 binary64)))))) (/.f64 #s(literal 27 binary64) (.f64 #s(literal -6 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (*.f64 x x) x) x #s(literal 9 binary64)))))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 (.f64 x x) x) x)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 27 binary64))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (.f64 x x) x) x #s(literal 9 binary64))) #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 729 binary64) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 27 binary64))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (*.f64 x x) x) x #s(literal 9 binary64))) #s(literal 6 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 x x) (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 27 binary64)) (.f64 (.f64 x x) x) #s(literal 729 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (.f64 x x) x) x #s(literal 9 binary64))) #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 19683 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (.f64 x x) (fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 27 binary64)) (.f64 (.f64 x x) x) #s(literal 729 binary64)))) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (*.f64 x x) x) x #s(literal 9 binary64))) #s(literal 6 binary64))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (*.f64 x x) x) x) (neg.f64 (fma.f64 x x #s(literal 3 binary64)))) #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 9 binary64) (neg.f64 (fma.f64 x x #s(literal 3 binary64)))) #s(literal -6 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (.f64 x x) x) x #s(literal 9 binary64))))) #s(literal -6 binary64)) (/.f64 (/.f64 #s(literal 27 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (*.f64 x x) x) x #s(literal 9 binary64))))) #s(literal -6 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (.f64 x x))))) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (*.f64 x x))))) #s(literal 6 binary64)))
(-.f64 (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x)) (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 #s(literal 1/216 binary64) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)))) (/.f64 #s(literal 1/8 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) #s(literal 1/12 binary64) #s(literal 1/4 binary64)))))
(-.f64 (.f64 (/.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64))) (.f64 #s(literal 1/6 binary64) (.f64 x x))) (/.f64 #s(literal 9 binary64) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))))
(-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (.f64 x x) x) x #s(literal 9 binary64)))) (.f64 x #s(literal 1/6 binary64))) (/.f64 #s(literal 27 binary64) (.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (*.f64 x x) x) x #s(literal 9 binary64))) #s(literal 6 binary64))))
(-.f64 (/.f64 (.f64 (.f64 (*.f64 x x) x) (/.f64 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 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (.f64 x x) x) x #s(literal 9 binary64)))) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 27 binary64) (fma.f64 (.f64 #s(literal 3 binary64) x) x (fma.f64 (.f64 (*.f64 x x) x) x #s(literal 9 binary64)))) #s(literal 6 binary64)))
(-.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 x x) #s(literal -6 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1/6 binary64)))
(-.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))))) #s(literal -1 binary64)))
(+.f64 (.f64 (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(+.f64 #s(literal -1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(*.f64 x x)
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval103.0ms (2.1%)

Memory: -11.3MiB live, 106.7MiB allocated
Compiler: Compiled 23 906 to 1 645 computations (93.1% saved)

prune152.0ms (3.1%)

Memory

-15.3MiB live, 149.9MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	543	9	552
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	544	9	553

Accuracy

100.0%

Counts

553 → 9

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))
	52.1%	(pow.f64 (pow.f64 (*.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
▶	99.9%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
	60.6%	(/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))
▶	60.6%	(/.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal 3 binary64)))
	52.6%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
	52.6%	#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
▶	47.8%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 170 to 112 computations (34.1% saved)

simplify7.0ms (0.1%)

Memory

6.1MiB live, 6.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

24×	`lower-*.f32`
22×	`lower-*.f64`
15×	`lower-fma.f32`
12×	`lower-+.f64`
12×	`lower-+.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	23	101
0	36	98
1	58	95
2	76	89
3	90	89
4	94	89
5	95	89
0	95	89

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize117.0ms (2.4%)

Memory

-7.4MiB live, 68.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.02734375	(/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) #s(literal 6 binary64))
accuracy	0.0703125	(fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))
accuracy	21.67926037077703	(/.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) #s(literal 6 binary64)) (fma.f64 x x #s(literal 3 binary64)))
accuracy	0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.06640625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
accuracy	0.6237128672675706	(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
accuracy	0.0546875	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
accuracy	0.3359375	(*.f64 x #s(literal 1/6 binary64))
accuracy	33.392520193159356	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
accuracy	0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.06640625	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))

Samples

84.0ms

256×

valid

Compiler

Compiled 112 to 25 computations (77.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 71.0ms

const: 49.0ms (68.9% of total)

ival-div: 9.0ms (12.7% of total)

ival-mult: 6.0ms (8.4% of total)

ival-add: 5.0ms (7% of total)

ival-sub: 1.0ms (1.4% of total)

exact: 1.0ms (1.4% of total)

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

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

series8.0ms (0.2%)

Memory

9.2MiB live, 9.2MiB allocated

Counts

11 → 132

Calls

Call 1

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

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

33 calls:

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

simplify334.0ms (6.8%)

Memory

-0.0MiB live, 115.3MiB allocated

Algorithm

1×	egg-herbie

Rules

3 215×	`lower-fma.f64`
3 215×	`lower-fma.f32`
1 625×	`lower-*.f64`
1 625×	`lower-*.f32`
723×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	73	772
1	150	772
2	316	772
3	656	772
4	1643	772
5	2856	772
6	4326	772
7	6063	772
8	7836	772
0	8274	703

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

rewrite541.0ms (11%)

Memory

1.8MiB live, 237.9MiB allocated

Rules

2 679×	`lower-fma.f32`
2 675×	`lower-fma.f64`
2 508×	`lower-*.f32`
2 506×	`lower-*.f64`
2 201×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	78
0	36	64
1	151	60
2	925	60
0	8772	59

Stop Event

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

Counts

11 → 1 863

Calls

Call 1

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

Outputs
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -27 binary64)) #s(literal 1/6 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) (-.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal -3 binary64))) #s(literal 9 binary64)))) (-.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal -3 binary64))) #s(literal 9 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -27 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (.f64 (.f64 (*.f64 x x) x) x)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/6 binary64) #s(literal -9/2 binary64)) (.f64 (fma.f64 (.f64 x x) (fma.f64 x x #s(literal 3 binary64)) #s(literal 9 binary64)) (-.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal -3 binary64))) #s(literal 9 binary64)))) (-.f64 (.f64 (.f64 x x) (fma.f64 x x #s(literal -3 binary64))) #s(literal 9 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 1/6 binary64) #s(literal -9/2 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) (.f64 (.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))) (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64))))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x) (.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (-.f64 (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)) (.f64 (.f64 (*.f64 x x) x) x)))))
(.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)) #s(literal 6 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 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 27 binary64)) #s(literal 6 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/4 binary64)) (fma.f64 (.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) x) (.f64 x x) #s(literal 1/8 binary64))) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) (+.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal -6 binary64)) (neg.f64 (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -9 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) x) (.f64 x x) #s(literal -1/8 binary64)) (.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)))) (-.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64))))) (-.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/4 binary64)) (.f64 (.f64 x x) #s(literal 1/12 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) x) (.f64 x x) #s(literal -1/8 binary64)) (fma.f64 (.f64 (.f64 (.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) x) (.f64 x x)) (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x))) (.f64 (.f64 x x) x) (.f64 (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)))) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x)))))) (fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x)) (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x)) x (.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))) (-.f64 (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))) (.f64 #s(literal 1/36 binary64) (.f64 (.f64 (*.f64 x x) x) x))))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) #s(literal 1/6 binary64)) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 27 binary64)))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) #s(literal 1/6 binary64)) (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)))) (fma.f64 (neg.f64 x) x #s(literal 3 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/4 binary64)) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/4 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))) #s(literal 1 binary64)) (/.f64 #s(literal -1/6 binary64) (fma.f64 x x #s(literal 3 binary64))))
(.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) #s(literal 1/6 binary64)) (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 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) #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)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 27 binary64)))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) #s(literal 3 binary64)))))
(.f64 (.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) #s(literal 1/6 binary64)) (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 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x 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 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)))) #s(literal -1/6 binary64))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal 1/6 binary64)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) #s(literal 1/6 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 binary64) (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 27 binary64)))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 9 binary64) (.f64 (*.f64 x x) #s(literal 3 binary64)))))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64))) (pow.f64 (.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/4 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) x) (.f64 x x) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) (-.f64 #s(literal 1/4 binary64) (.f64 #s(literal -1/12 binary64) (.f64 x x))))))
(.f64 (.f64 #s(literal 1/6 binary64) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 27 binary64)))) (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))))
(.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 27 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64))))))
(.f64 (/.f64 (.f64 #s(literal -1/6 binary64) (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 (neg.f64 x) x #s(literal 3 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) #s(literal 1/6 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) #s(literal 1/6 binary64)) (/.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x 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 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -81 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 9 binary64))) #s(literal 6 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -81 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (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 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -729 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x) (-.f64 #s(literal 81 binary64) (.f64 (.f64 #s(literal -9 binary64) (.f64 (*.f64 x x) x)) x)))) #s(literal 6 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -729 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x) (-.f64 #s(literal 81 binary64) (.f64 (.f64 #s(literal -9 binary64) (.f64 (*.f64 x x) x)) x)))) (fma.f64 x x #s(literal 3 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 27 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -81 binary64)))) (/.f64 (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 9 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 27 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -729 binary64)))) (/.f64 (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x) (-.f64 #s(literal 81 binary64) (.f64 (.f64 #s(literal -9 binary64) (.f64 (*.f64 x x) x)) x)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 27 binary64))) #s(literal 6 binary64)) (/.f64 (fma.f64 (.f64 (.f64 x x) x) x (-.f64 #s(literal 9 binary64) (.f64 (.f64 x x) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -9 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -81 binary64)))) (/.f64 (fma.f64 x x #s(literal -3 binary64)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 9 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -729 binary64)))) (/.f64 (fma.f64 x x #s(literal -3 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x) (-.f64 #s(literal 81 binary64) (.f64 (.f64 #s(literal -9 binary64) (.f64 (*.f64 x x) x)) x)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) #s(literal 6 binary64)) (/.f64 (fma.f64 x x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal -9 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -81 binary64)))) (/.f64 (/.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))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -729 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x) (-.f64 #s(literal 81 binary64) (.f64 (.f64 #s(literal -9 binary64) (.f64 (*.f64 x x) x)) x)))))
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(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal 18 binary64)) #s(literal -387420489 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x) (-.f64 #s(literal 81 binary64) (.f64 (.f64 #s(literal -9 binary64) (.f64 (.f64 x x) x)) x))))) (-.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal 12 binary64)) #s(literal 531441 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal -729 binary64)))))
(/.f64 (-.f64 (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 9 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 9 binary64)))) (.f64 (/.f64 #s(literal 81 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 9 binary64))) (/.f64 #s(literal 81 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 9 binary64))))) (+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 9 binary64))) (/.f64 #s(literal 81 binary64) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 9 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 9 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 81 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 9 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 9 binary64))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 9 binary64))) (fma.f64 (/.f64 #s(literal 81 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 9 binary64))) (/.f64 #s(literal 81 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 9 binary64))) (.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 9 binary64))) (/.f64 #s(literal 81 binary64) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 9 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x)))) (neg.f64 (-.f64 #s(literal -9 binary64) (.f64 (.f64 (.f64 x x) x) x))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -81 binary64)))) (neg.f64 (fma.f64 (neg.f64 x) (.f64 (.f64 x x) x) #s(literal -9 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -81 binary64)))) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 9 binary64)))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -729 binary64)))) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x) (-.f64 #s(literal 81 binary64) (.f64 (.f64 #s(literal -9 binary64) (.f64 (.f64 x x) x)) x))))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -729 binary64)))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x) (-.f64 #s(literal 81 binary64) (.f64 (.f64 #s(literal -9 binary64) (.f64 (.f64 x x) x)) x))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal -6561 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x) #s(literal 81 binary64)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 9 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal 12 binary64)) #s(literal 531441 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (.f64 x x))) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (+.f64 #s(literal 6561 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) #s(literal 81 binary64))))) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 9 binary64))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 x x) #s(literal 12 binary64)) #s(literal 531441 binary64)) #s(literal 1 binary64)) (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 729 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x) (-.f64 #s(literal 81 binary64) (.f64 (.f64 #s(literal -9 binary64) (.f64 (*.f64 x x) x)) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal 18 binary64)) #s(literal -387420489 binary64)) #s(literal 1 binary64)) (.f64 (-.f64 (+.f64 (pow.f64 (.f64 x x) #s(literal 12 binary64)) #s(literal 531441 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal -729 binary64)))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x) (-.f64 #s(literal 81 binary64) (.f64 (.f64 #s(literal -9 binary64) (.f64 (.f64 x x) x)) x)))))
(/.f64 (.f64 (-.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x))) #s(literal 1 binary64)) (-.f64 #s(literal -9 binary64) (.f64 (.f64 (*.f64 x x) x) x)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -81 binary64))) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) (.f64 (*.f64 x x) x) #s(literal -9 binary64)))
(/.f64 (.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -729 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x) (-.f64 #s(literal 81 binary64) (.f64 (.f64 #s(literal -9 binary64) (.f64 (*.f64 x x) x)) x)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -81 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 9 binary64)))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -729 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 9 binary64)))))
(/.f64 (.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -729 binary64)) #s(literal 1 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x) (-.f64 #s(literal 81 binary64) (.f64 (.f64 #s(literal -9 binary64) (.f64 (*.f64 x x) x)) x))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) 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)) #s(literal 81 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 (-.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x))) (-.f64 #s(literal -9 binary64) (.f64 (.f64 (.f64 x x) x) x)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -81 binary64))) (fma.f64 (neg.f64 x) (.f64 (.f64 x x) x) #s(literal -9 binary64)))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -729 binary64))) (neg.f64 (+.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 9 binary64))))))
(/.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -729 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x) (-.f64 #s(literal 81 binary64) (.f64 (.f64 #s(literal -9 binary64) (.f64 (.f64 x x) x)) x)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -81 binary64)) (neg.f64 (fma.f64 (neg.f64 x) (.f64 (.f64 x x) x) #s(literal -9 binary64))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -81 binary64)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 9 binary64)))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -729 binary64)) (neg.f64 (neg.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x) (-.f64 #s(literal 81 binary64) (.f64 (.f64 #s(literal -9 binary64) (.f64 (.f64 x x) x)) x))))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -729 binary64)) (+.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 9 binary64)))))
(/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -729 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x) (-.f64 #s(literal 81 binary64) (.f64 (.f64 #s(literal -9 binary64) (.f64 (.f64 x x) x)) x))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -9 binary64) (.f64 (.f64 (.f64 x x) x) x)) (-.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 9 binary64)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x) #s(literal -729 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))))
(neg.f64 (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) #s(literal 729 binary64))) (+.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x) #s(literal 81 binary64)) (.f64 (.f64 #s(literal -9 binary64) (.f64 (.f64 x x) x)) x)) (neg.f64 (/.f64 #s(literal 81 binary64) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 9 binary64)))))
(fma.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 (.f64 (.f64 x x) x) x) (.f64 (.f64 (.f64 x x) x) x) #s(literal -81 binary64))) (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64)) (neg.f64 (/.f64 #s(literal 81 binary64) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 9 binary64)))))
(fma.f64 (.f64 (.f64 x x) x) x #s(literal -9 binary64))
(fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 9 binary64))) (neg.f64 (/.f64 #s(literal 81 binary64) (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 (.f64 (.f64 x x) x) #s(literal -9 binary64))
(-.f64 (/.f64 #s(literal 81 binary64) (-.f64 #s(literal -9 binary64) (.f64 (.f64 (.f64 x x) x) x))) (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x)) (-.f64 #s(literal -9 binary64) (.f64 (.f64 (*.f64 x x) x) x))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) x)) (.f64 x x)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x) (-.f64 #s(literal 81 binary64) (.f64 (.f64 #s(literal -9 binary64) (.f64 (.f64 x x) x)) x)))) (/.f64 #s(literal 729 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x) (-.f64 #s(literal 81 binary64) (.f64 (.f64 #s(literal -9 binary64) (.f64 (*.f64 x x) x)) x)))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 9 binary64))) (/.f64 #s(literal 81 binary64) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 9 binary64))))
(-.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (.f64 x x) (.f64 x x) #s(literal -9 binary64))))
(-.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 9 binary64))
(+.f64 (neg.f64 (.f64 (neg.f64 x) (.f64 (*.f64 x x) x))) #s(literal -9 binary64))
(+.f64 (/.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 x x) (.f64 x x) #s(literal 9 binary64))) (neg.f64 (/.f64 #s(literal 81 binary64) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 9 binary64)))))
(+.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal -9 binary64))
(+.f64 #s(literal -9 binary64) (neg.f64 (.f64 (neg.f64 x) (.f64 (*.f64 x x) x))))
(+.f64 #s(literal -9 binary64) (.f64 (.f64 (*.f64 x x) x) x))
(.f64 (pow.f64 (.f64 x x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval408.0ms (8.3%)

Memory: 27.7MiB live, 556.8MiB allocated
Compiler: Compiled 71 904 to 2 828 computations (96.1% saved)

prune164.0ms (3.4%)

Memory

18.5MiB live, 350.9MiB allocated

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	2 183	3	2 186
Fresh	2	2	4
Picked	3	2	5
Done	0	0	0
Total	2 188	7	2 195

Accuracy

100.0%

Counts

2 195 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(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))
▶	60.6%	(/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))
▶	52.6%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	52.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (+ (* x x) -3) (*.f64 x x))))
▶	52.6%	#s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	47.8%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 106 to 67 computations (36.8% saved)

simplify9.0ms (0.2%)

Memory

-24.7MiB live, 14.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x x) x)
cost-diff	0	(.f64 (.f64 (*.f64 x x) x) x)
cost-diff	0	(fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (*.f64 x x) x) x) #s(literal -1/4 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (* x x) -3) (*.f64 x x))
cost-diff	0	(/.f64 #s(literal 6 binary64) #s(approx (+ (* x x) -3) (*.f64 x x)))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (+ (* x x) -3) (*.f64 x x))))
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) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(/.f64 x #s(literal 6 binary64))
cost-diff	0	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))

Rules

44×	`lower-*.f32`
40×	`lower-*.f64`
23×	`lower-fma.f32`
20×	`lower-fma.f64`
17×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	162
0	52	160
1	80	150
2	99	142
3	126	142
4	130	142
5	131	142
0	131	136

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize89.0ms (1.8%)

Memory

-4.9MiB live, 195.0MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(.f64 (.f64 (*.f64 x x) x) x)
accuracy	0.08984375	(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
accuracy	0.1015625	(.f64 (.f64 x x) x)
accuracy	21.702034101240145	(/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.06640625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (+ (* x x) -3) (*.f64 x x))))
accuracy	0.6237128672675706	(/.f64 #s(literal 6 binary64) #s(approx (+ (* x x) -3) (*.f64 x x)))
accuracy	30.26025096774648	#s(approx (+ (* x x) -3) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0.06640625	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
accuracy	30.26025096774648	#s(approx (- (* x x) 3) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0.18359375	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	30.25685248127712	#s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0	(/.f64 x #s(literal 6 binary64))
accuracy	0.0546875	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))

Samples

56.0ms

256×

valid

Compiler

Compiled 143 to 35 computations (75.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-div: 12.0ms (30% of total)

ival-mult: 12.0ms (30% of total)

ival-add: 7.0ms (17.5% of total)

const: 7.0ms (17.5% of total)

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

exact: 1.0ms (2.5% of total)

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

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

series8.0ms (0.2%)

Memory

22.5MiB live, 22.5MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#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 #s(literal 6 binary64)) (patch (/.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.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) #s(approx (+ (* x x) -3) (.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (+ ( x x) -3) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 6 binary64) #s(approx (+ (* x x) -3) (.f64 x x))) (patch (/.f64 #s(literal 6 binary64) #s(approx (+ ( x x) -3) (*.f64 x x))) #<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 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())

Outputs
#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 (* 1/6 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 -1/2 (taylor 0 x) (#s(alt #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#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 (* 1/6 (pow x 2)) (taylor 0 x) (#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 (* 1/6 (pow x 2)) (taylor 0 x) (#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 (* 1/6 (pow x 2)) (taylor 0 x) (#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 (* 1/6 (pow x 2)) (taylor inf x) (#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 (* 1/6 (pow x 2)) (taylor inf x) (#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 (* 1/6 (pow x 2)) (taylor inf x) (#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 (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 x x) #s(literal 1/6 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x 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 (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (patch (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt -1/4 (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/36 (pow x 4)) 1/4) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/36 (pow x 4)) 1/4) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/36 (pow x 4)) 1/4) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow x 4)) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x 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 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x 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 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x 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 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x 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 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x 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 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x 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 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (patch (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ())

Calls

45 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/ (+ (* 1/36 (* (* (* x x) x) x)) -1/4) (+ (* 1/6 (* x x)) 1/2))
0.0ms	x	@	inf	(/ (+ (* 1/36 (* (* (* x x) x) x)) -1/4) (+ (* 1/6 (* x x)) 1/2))
0.0ms	x	@	-inf	(* (* x x) x)
0.0ms	x	@	inf	(* (* x x) 1/6)
0.0ms	x	@	0	(* (* x x) x)

simplify140.0ms (2.9%)

Memory

10.1MiB live, 165.8MiB allocated

Algorithm

1×	egg-herbie

Rules

3 490×	`lower-fma.f64`
3 490×	`lower-fma.f32`
1 769×	`lower-*.f64`
1 769×	`lower-*.f32`
779×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	978
1	149	978
2	318	978
3	665	978
4	1333	978
5	2209	978
6	3432	978
7	5488	978
8	7253	978
0	8064	891

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 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)))))
(* 1/6 (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)))))
-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)))))
-1/4
(- (* 1/36 (pow x 4)) 1/4)
(- (* 1/36 (pow x 4)) 1/4)
(- (* 1/36 (pow x 4)) 1/4)
(* 1/36 (pow x 4))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* 1/36 (pow x 4))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(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)
1/2
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (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))
(* (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)))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) 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 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) 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 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow x 2)) 2)
(fma.f64 (*.f64 #s(literal -2/3 binary64) x) x #s(literal -2 binary64))
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)
(fma.f64 (.f64 (fma.f64 (.f64 #s(literal -2/9 binary64) x) x #s(literal -2/3 binary64)) x) x #s(literal -2 binary64))
(- (* (pow x 2) (- (* (pow x 2) (- (* -2/27 (pow x 2)) 2/9)) 2/3)) 2)
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -2/27 binary64) x) x #s(literal -2/9 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #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 (/.f64 #s(literal 18 binary64) (.f64 x x)) #s(literal 6 binary64)) (.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 54 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 18 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 (+.f64 (/.f64 #s(literal 162 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x)) (+.f64 (+.f64 (/.f64 #s(literal 54 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 18 binary64) (.f64 x x))) #s(literal 6 binary64))) (.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 (/.f64 #s(literal 18 binary64) (.f64 x x)) #s(literal 6 binary64)) (.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.f64 #s(literal 54 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 18 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 (+.f64 (/.f64 #s(literal 162 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 x x)) x)) (+.f64 (+.f64 (/.f64 #s(literal 54 binary64) (.f64 (.f64 (.f64 x x) x) x)) (/.f64 #s(literal 18 binary64) (.f64 x x))) #s(literal 6 binary64))) (.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 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
-1/4
#s(literal -1/4 binary64)
(- (* 1/36 (pow x 4)) 1/4)
(fma.f64 (.f64 #s(literal 1/36 binary64) x) (.f64 (*.f64 x x) x) #s(literal -1/4 binary64))
(- (* 1/36 (pow x 4)) 1/4)
(fma.f64 (.f64 #s(literal 1/36 binary64) x) (.f64 (*.f64 x x) x) #s(literal -1/4 binary64))
(- (* 1/36 (pow x 4)) 1/4)
(fma.f64 (.f64 #s(literal 1/36 binary64) x) (.f64 (*.f64 x x) x) #s(literal -1/4 binary64))
(* 1/36 (pow x 4))
(.f64 (.f64 #s(literal 1/36 binary64) x) (.f64 (.f64 x x) x))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 (.f64 #s(literal 1/36 binary64) x) (.f64 (*.f64 x x) x) #s(literal -1/4 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 (.f64 #s(literal 1/36 binary64) x) (.f64 (*.f64 x x) x) #s(literal -1/4 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 (.f64 #s(literal 1/36 binary64) x) (.f64 (*.f64 x x) x) #s(literal -1/4 binary64))
(* 1/36 (pow x 4))
(.f64 (.f64 #s(literal 1/36 binary64) x) (.f64 (.f64 x x) x))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 (.f64 #s(literal 1/36 binary64) x) (.f64 (*.f64 x x) x) #s(literal -1/4 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 (.f64 #s(literal 1/36 binary64) x) (.f64 (*.f64 x x) x) #s(literal -1/4 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 (.f64 #s(literal 1/36 binary64) x) (.f64 (*.f64 x x) x) #s(literal -1/4 binary64))
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x #s(literal 1/6 binary64)) x)
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))

rewrite234.0ms (4.8%)

Memory

13.6MiB live, 287.1MiB allocated

Rules

3 289×	`lower-fma.f32`
3 286×	`lower-fma.f64`
2 118×	`lower-/.f32`
2 113×	`lower-/.f64`
1 889×	`lower-*.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	138
0	52	117
1	219	105
2	1305	104
0	8566	99

Stop Event

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

Counts

15 → 915

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64)) #s(literal -1/2 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -9 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -9 binary64)) #s(literal 1/6 binary64)) (/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -9 binary64)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -27 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 (*.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) x)) x #s(literal -81 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 9 binary64))) #s(literal 6 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) x)) x #s(literal -81 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (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 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -729 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) x)) x (-.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 x x) x) (*.f64 x #s(literal -9 binary64)))))) #s(literal 6 binary64)))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -729 binary64)) #s(literal 6 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) x)) x (-.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 x x) x) (*.f64 x #s(literal -9 binary64)))))) (fma.f64 x x #s(literal 3 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x #s(literal -9 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) x)) x #s(literal -81 binary64)))) (/.f64 (fma.f64 x x #s(literal -3 binary64)) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 9 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x #s(literal -9 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -729 binary64)))) (/.f64 (fma.f64 x x #s(literal -3 binary64)) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) x)) x (-.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 x x) x) (*.f64 x #s(literal -9 binary64)))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x #s(literal -9 binary64))) #s(literal 6 binary64)) (/.f64 (fma.f64 x x #s(literal -3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -9 binary64)))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 27 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) x)) x #s(literal -81 binary64)))) (/.f64 (fma.f64 (.f64 (.f64 x x) x) x (+.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (.f64 x x)))) (fma.f64 (.f64 x x) (*.f64 x x) #s(literal 9 binary64))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 27 binary64))) (/.f64 #s(literal 6 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -729 binary64)))) (/.f64 (fma.f64 (.f64 (.f64 x x) x) x (+.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (.f64 x x)))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) x)) x (-.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 x x) x) (*.f64 x #s(literal -9 binary64)))))))
(.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 27 binary64))) #s(literal 6 binary64)) (/.f64 (fma.f64 (.f64 (.f64 x x) x) x (+.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -9 binary64)))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) x)) x #s(literal -81 binary64)))) (/.f64 (/.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))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -729 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 3 binary64))) (fma.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) x)) x (-.f64 #s(literal 81 binary64) (.f64 (.f64 (.f64 x x) x) (*.f64 x #s(literal -9 binary64)))))))
(.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -9 binary64)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -27 binary64)))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -9 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 (.f64 x x) 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 (.f64 x x) x) x #s(literal -9 binary64)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -27 binary64)))) (/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -9 binary64)) (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(.f64 (/.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 (.f64 x x) x) x #s(literal -9 binary64))) (/.f64 (fma.f64 (.f64 (*.f64 x x) 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 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 27 binary64))) (/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (+.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (*.f64 x x)))))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -9 binary64)) (/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -9 binary64)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -27 binary64)))) (/.f64 #s(literal 1/6 binary64) (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (neg.f64 x) x) (.f64 x x) #s(literal 9 binary64)) (/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -9 binary64)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal -27 binary64)))) (/.f64 #s(literal -1/6 binary64) (fma.f64 (.f64 (.f64 x x) x) x (fma.f64 (.f64 x x) #s(literal 3 binary64) #s(literal 9 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (neg.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))))
(.f64 (/.f64 (fma.f64 (.f64 (neg.f64 x) x) (.f64 x x) #s(literal 9 binary64)) (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -9 binary64))) (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (neg.f64 x) x) (.f64 x x) #s(literal 9 binary64)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 27 binary64))) (/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (+.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (*.f64 x x)))))))
(.f64 (/.f64 (fma.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) x)) x) #s(literal -1/16 binary64)) (fma.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/36 binary64) x) (.f64 (.f64 x x) x) (+.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/12 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -9 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -9 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1/6 binary64) (fma.f64 x x #s(literal 3 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 (neg.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))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x))) (.f64 (.f64 x x) x) #s(literal -1/64 binary64)) (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) x)) x) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/144 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal 6 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) x)) x) #s(literal -1/16 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64))))
(.f64 (pow.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64)) (fma.f64 (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x))) (.f64 (.f64 x x) x) #s(literal -1/64 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) x)) x) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/144 binary64))))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -9 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 (.f64 x x) x) x #s(literal -9 binary64))) (fma.f64 x x #s(literal -3 binary64)))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -9 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 27 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (+.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (.f64 x x)))))))
(.f64 (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -9 binary64)) #s(literal 1/6 binary64)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 27 binary64))) (fma.f64 (.f64 (.f64 x x) x) x (+.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (.f64 x x)))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x #s(literal -9 binary64))) (.f64 (.f64 (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -9 binary64)) #s(literal 1/6 binary64)) (fma.f64 x x #s(literal -3 binary64))))
(.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 27 binary64))) (/.f64 (.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -9 binary64)) #s(literal 1/6 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (+.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (.f64 x x)))))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/4 binary64)) (fma.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/36 binary64) x) (.f64 (.f64 x x) x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64)))))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (.f64 x x) #s(literal -1/4 binary64)) (fma.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal 1/8 binary64))) (fma.f64 (.f64 #s(literal 1/36 binary64) x) (.f64 (.f64 x x) x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -9 binary64)) (fma.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x) #s(literal 27 binary64))) (/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 (.f64 x x) x) x (+.f64 #s(literal 9 binary64) (.f64 #s(literal -3 binary64) (*.f64 x x)))))))
(.f64 (/.f64 (fma.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) x)) x) #s(literal -1/16 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64))))
(.f64 (/.f64 (fma.f64 (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x))) (.f64 (.f64 x x) x) #s(literal -1/64 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) x)) x) (+.f64 #s(literal 1/16 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/144 binary64))))))
(.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal 3 binary64))) (.f64 #s(literal -1/6 binary64) (fma.f64 (.f64 (.f64 x x) x) x #s(literal -9 binary64))))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (.f64 #s(literal 1/36 binary64) x) (.f64 (.f64 x x) x) (-.f64 #s(literal 1/4 binary64) (.f64 (*.f64 x x) #s(literal -1/12 binary64)))))))
(*.f64 (fma.f64 (neg.f64 x) x #s(literal 3 binary64)) #s(literal -1/6 binary64))
(.f64 (fma.f64 (.f64 (*.f64 x x) x) x #s(literal -9 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64))))
(.f64 (fma.f64 (.f64 (.f64 x x) x) x #s(literal -9 binary64)) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64))))
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(fma.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/6 binary64) (/.f64 (.f64 (.f64 x 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 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 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 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/6 binary64) x) #s(literal 1/2 binary64))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) x) (.f64 (.f64 x x) x)) (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)))
(-.f64 (/.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal -1/2 binary64))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/216 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) (fma.f64 (.f64 #s(literal 1/36 binary64) x) (.f64 (.f64 x x) x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64))))) (/.f64 #s(literal -1/8 binary64) (fma.f64 (.f64 #s(literal 1/36 binary64) x) (.f64 (.f64 x x) x) (+.f64 #s(literal 1/4 binary64) (.f64 (.f64 x x) #s(literal -1/12 binary64))))))
(-.f64 (/.f64 #s(literal 0 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 x) #s(literal -1/2 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 #s(literal 1/1296 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (.f64 x x) x) x)) x)) (fma.f64 (.f64 #s(literal 1/36 binary64) x) (.f64 (.f64 x x) x) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal -1/16 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64))) (fma.f64 #s(literal 1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))) (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) x) (.f64 (.f64 x x) x)) (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal 1/2 binary64))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) x) (.f64 (.f64 x x) x)) (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 #s(literal 0 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(-.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/2 binary64))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 1/36 binary64) x) (.f64 (.f64 x 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)))))
(+.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1/2 binary64))
(+.f64 #s(literal 1/2 binary64) (.f64 #s(literal 1/6 binary64) (.f64 x x)))

eval149.0ms (3%)

Memory: -12.8MiB live, 254.8MiB allocated
Compiler: Compiled 34 868 to 1 741 computations (95% saved)

prune105.0ms (2.1%)

Memory

-6.7MiB live, 193.0MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	1 172	3	1 175
Fresh	0	0	0
Picked	2	3	5
Done	0	2	2
Total	1 174	8	1 182

Accuracy

100.0%

Counts

1 182 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(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))
▶	14.0%	(/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 (.f64 x #s(literal 1/6 binary64)) x)))
✓	52.6%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	52.6%	#s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
✓	52.6%	#s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	52.6%	#s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
✓	47.8%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 63 to 39 computations (38.1% saved)

simplify7.0ms (0.1%)

Memory

6.9MiB live, 6.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (.f64 x x) x)
cost-diff	0	(.f64 (.f64 (*.f64 x x) x) x)
cost-diff	0	(fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (*.f64 x x) x) x) #s(literal -1/4 binary64))
cost-diff	0	(/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 (.f64 x #s(literal 1/6 binary64)) x)))
cost-diff	0	(/.f64 #s(literal 6 binary64) x)
cost-diff	0	#s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (/.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 1/6 binary64))
cost-diff	0	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
cost-diff	0	#s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))

Rules

42×	`lower-*.f32`
37×	`lower-*.f64`
20×	`lower-fma.f32`
19×	`lower-fma.f64`
17×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	140
0	38	140
1	60	128
2	79	118
3	107	118
4	113	118
5	114	118
0	114	114

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize82.0ms (1.7%)

Memory

-6.3MiB live, 87.2MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.109375	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
accuracy	0.3359375	(*.f64 x #s(literal 1/6 binary64))
accuracy	21.702034101240145	(/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 (.f64 x #s(literal 1/6 binary64)) x)))
accuracy	29.819914512996057	#s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
accuracy	0	(/.f64 #s(literal 6 binary64) x)
accuracy	0.12890625	(/.f64 x (/.f64 #s(literal 6 binary64) x))
accuracy	30.25685248127712	#s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
accuracy	0.109375	(.f64 (.f64 x #s(literal 1/6 binary64)) x)
accuracy	0.3359375	(*.f64 x #s(literal 1/6 binary64))
accuracy	30.25685248127712	#s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))

Samples

50.0ms

256×

valid

Compiler

Compiled 120 to 27 computations (77.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 39.0ms

ival-mult: 18.0ms (46.4% of total)

ival-div: 9.0ms (23.2% of total)

const: 6.0ms (15.5% of total)

ival-add: 5.0ms (12.9% of total)

exact: 1.0ms (2.6% of total)

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

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

series5.0ms (0.1%)

Memory

7.0MiB live, 7.0MiB allocated

Counts

11 → 132

Calls

Call 1

Inputs
#s(alt #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.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 x (/.f64 #s(literal 6 binary64) x)) (patch (/.f64 x (/.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (/.f64 x (/.f64 #s(literal 6 binary64) x))) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (/.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 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 (.f64 x #s(literal 1/6 binary64)) x))) (patch (/.f64 (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 (.f64 x #s(literal 1/6 binary64)) x))) #<representation binary64>) () ())
#s(alt (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())
#s(alt #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())

Outputs
#s(alt -1/2 (taylor 0 x) (#s(alt #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.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) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.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) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.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) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.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) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.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) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.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) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.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) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.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) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.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) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.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) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.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) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.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>) () ())) ())
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#s(alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) (taylor inf x) (#s(alt (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow x 4)) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) (patch (fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 4) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) x) x) (patch (.f64 (.f64 (.f64 x x) x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor 0 x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt (pow x 3) (taylor -inf x) (#s(alt (.f64 (.f64 x x) x) (patch (.f64 (.f64 x x) x) #<representation binary64>) () ())) ())
#s(alt 1/2 (taylor 0 x) (#s(alt #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (+ 1/2 (* 1/6 (pow x 2))) (taylor 0 x) (#s(alt #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (+ (* 1/6 (* x x)) 1/2) (.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 (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (+ (* 1/6 (* x x)) 1/2) (.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 (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (+ (* 1/6 (* x x)) 1/2) (.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 (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (+ (* 1/6 (* x x)) 1/2) (.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 (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (+ (* 1/6 (* x x)) 1/2) (.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 (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (+ (* 1/6 (* x x)) 1/2) (.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 (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (+ (* 1/6 (* x x)) 1/2) (.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 (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (+ (* 1/6 (* x x)) 1/2) (.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 (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) (patch #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 (.f64 x #s(literal 1/6 binary64)) x)) #<representation binary64>) () ())) ())

Calls

33 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))

simplify109.0ms (2.2%)

Memory

15.5MiB live, 90.7MiB allocated

Algorithm

1×	egg-herbie

Rules

2 177×	`lower-*.f64`
2 177×	`lower-*.f32`
1 850×	`lower-fma.f64`
1 850×	`lower-fma.f32`
731×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	634
1	68	634
2	136	634
3	301	634
4	547	634
5	872	634
6	1947	634
7	3612	634
8	4640	634
9	6102	634
0	8018	589

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 (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)))))
-1/4
(- (* 1/36 (pow x 4)) 1/4)
(- (* 1/36 (pow x 4)) 1/4)
(- (* 1/36 (pow x 4)) 1/4)
(* 1/36 (pow x 4))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* 1/36 (pow x 4))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(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)
1/2
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (pow x 2)))
(+ 1/2 (* 1/6 (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))
(* (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)))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #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 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #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 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 x)
(*.f64 x #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #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 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #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 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) 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 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #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 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #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 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
-1/4
#s(literal -1/4 binary64)
(- (* 1/36 (pow x 4)) 1/4)
(fma.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(- (* 1/36 (pow x 4)) 1/4)
(fma.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(- (* 1/36 (pow x 4)) 1/4)
(fma.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(* 1/36 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/36 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(* 1/36 (pow x 4))
(.f64 (.f64 (.f64 (.f64 x x) x) x) #s(literal 1/36 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(* (pow x 4) (- 1/36 (* 1/4 (/ 1 (pow x 4)))))
(fma.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 4)
(.f64 (.f64 (*.f64 x x) x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
(pow x 3)
(.f64 (.f64 x x) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #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 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #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 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))
(* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal 1/2 binary64))

rewrite198.0ms (4%)

Memory

-4.7MiB live, 221.6MiB allocated

Rules

4 419×	`lower-fma.f32`
4 418×	`lower-fma.f64`
2 819×	`lower-*.f32`
2 814×	`lower-*.f64`
1 810×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	121
0	38	109
1	154	87
2	959	87
0	8477	83

Stop Event

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

Counts

11 → 335

Calls

Call 1

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

Outputs
#s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal -1 binary64)) x)
(.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal -1/6 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(.f64 (.f64 #s(literal -1/6 binary64) x) (neg.f64 x))
(*.f64 #s(literal -1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1/6 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(.f64 #s(literal -1/6 binary64) (.f64 (neg.f64 x) x))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 #s(literal -1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -6 binary64) x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 6 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) x))
(/.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) x))
(/.f64 (*.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -6 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/6 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 (neg.f64 x) (/.f64 #s(literal -6 binary64) x))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(neg.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x)) (.f64 (.f64 #s(literal -1/6 binary64) x) x))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -1/6 binary64) x) x))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -1 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 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) #s(literal 1/6 binary64))
(*.f64 #s(literal -1/6 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal -1/6 binary64) (neg.f64 x))
(.f64 #s(literal -1 binary64) (.f64 #s(literal -1/6 binary64) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) x))
(*.f64 (neg.f64 x) #s(literal -1/6 binary64))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(*.f64 #s(literal 1/6 binary64) x)
(*.f64 x #s(literal 1/6 binary64))
(pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) #s(literal -6 binary64))
(/.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -1/6 binary64) (/.f64 #s(literal -1 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) x))
(/.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1/6 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x))
(/.f64 (neg.f64 x) #s(literal -6 binary64))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x #s(literal 6 binary64))
(neg.f64 (*.f64 #s(literal -1/6 binary64) x))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/6 binary64) x))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 6 binary64) x)) #s(literal -1 binary64)))
(.f64 (.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal -1 binary64)) x)
(.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (.f64 x x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) x)) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal -1/6 binary64) x))
(.f64 (.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1/6 binary64))
(.f64 (.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)))
(.f64 (.f64 #s(literal -1/6 binary64) x) (neg.f64 x))
(*.f64 #s(literal -1/6 binary64) (/.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal -1/6 binary64) (/.f64 x (/.f64 #s(literal -1 binary64) x)))
(.f64 #s(literal -1/6 binary64) (.f64 (neg.f64 x) x))
(.f64 #s(literal -1 binary64) (.f64 (*.f64 #s(literal -1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/6 binary64) (*.f64 x x)))
(.f64 (neg.f64 x) (.f64 #s(literal -1/6 binary64) x))
(*.f64 #s(literal 1/6 binary64) (/.f64 x (/.f64 #s(literal 1 binary64) x)))
(*.f64 #s(literal 1/6 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal -1 binary64)))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 x (.f64 #s(literal 1/6 binary64) x))
(pow.f64 (/.f64 #s(literal 6 binary64) (*.f64 x x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (/.f64 #s(literal -6 binary64) x))
(/.f64 (.f64 #s(literal 1 binary64) (.f64 x x)) #s(literal 6 binary64))
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -6 binary64) x))
(/.f64 (*.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -6 binary64) x))
(/.f64 (*.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal -1 binary64) x))
(/.f64 (*.f64 (neg.f64 x) x) #s(literal -6 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 1/6 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (*.f64 x x)))
(/.f64 (neg.f64 x) (/.f64 #s(literal -6 binary64) x))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(neg.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x))
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x)) (.f64 (.f64 #s(literal -1/6 binary64) x) x))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 #s(literal -1/6 binary64) x) x))
(exp.f64 (.f64 (log.f64 (/.f64 #s(literal 6 binary64) (.f64 x x))) #s(literal -1 binary64)))
#s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -6 binary64) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x))
(*.f64 #s(literal -6 binary64) (/.f64 #s(literal -1 binary64) x))
(*.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal 6 binary64) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (*.f64 #s(literal 1/6 binary64) x) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/6 binary64) x))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/6 binary64) x))
(/.f64 (/.f64 #s(literal -6 binary64) x) #s(literal -1 binary64))
(/.f64 #s(literal -6 binary64) (neg.f64 x))
(/.f64 (/.f64 #s(literal 6 binary64) x) #s(literal 1 binary64))
(/.f64 #s(literal 6 binary64) x)
(neg.f64 (/.f64 (/.f64 #s(literal -6 binary64) x) #s(literal 1 binary64)))
(neg.f64 (/.f64 #s(literal -6 binary64) x))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -6 binary64) x))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/6 binary64) x)) #s(literal -1 binary64)))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (fma.f64 (.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 x x)) #s(literal -1/16 binary64))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) (fma.f64 (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) #s(literal -1/64 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal -1/144 binary64) (.f64 (.f64 (.f64 x x) x) x))))))
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(/.f64 (fma.f64 (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x)) #s(literal -1/64 binary64)) (fma.f64 (.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal -1/144 binary64) (.f64 (.f64 (.f64 x x) x) x)))))
(neg.f64 (fma.f64 #s(literal -1/36 binary64) (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) x) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1/4 binary64))
(fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) #s(literal -1/6 binary64)) (neg.f64 x) #s(literal -1/4 binary64))
(fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1/6 binary64) x) #s(literal -1/4 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal -1/6 binary64) x)) (neg.f64 x) #s(literal -1/4 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) (.f64 #s(literal 1/6 binary64) (*.f64 x x)) #s(literal -1/4 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (neg.f64 x)) (.f64 #s(literal -1/6 binary64) x) #s(literal -1/4 binary64))
(fma.f64 (.f64 x (.f64 #s(literal 1/36 binary64) x)) (*.f64 x x) #s(literal -1/4 binary64))
(fma.f64 (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) (pow.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal 1 binary64)) #s(literal -1/4 binary64))
(fma.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 #s(literal 1/36 binary64) (*.f64 x x)) #s(literal -1/4 binary64))
(fma.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) (pow.f64 (neg.f64 x) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/6 binary64) x) #s(literal 2 binary64)) #s(literal -1/4 binary64))
(fma.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 (neg.f64 x) (.f64 #s(literal 1/6 binary64) (.f64 x x))) #s(literal -1/4 binary64))
(fma.f64 (.f64 x #s(literal 1/36 binary64)) (.f64 (*.f64 x x) x) #s(literal -1/4 binary64))
(fma.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) (.f64 #s(literal 1/6 binary64) x) #s(literal -1/4 binary64))
(fma.f64 (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) x) #s(literal 1/6 binary64) #s(literal -1/4 binary64))
(fma.f64 (.f64 #s(literal 1/36 binary64) x) (.f64 (*.f64 x x) x) #s(literal -1/4 binary64))
(fma.f64 (.f64 (.f64 #s(literal -1/6 binary64) x) x) (.f64 (.f64 #s(literal -1/6 binary64) x) x) #s(literal -1/4 binary64))
(fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (*.f64 (neg.f64 x) (neg.f64 x)) #s(literal -1/4 binary64))
(fma.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (*.f64 x x) #s(literal -1/4 binary64))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 x #s(literal 1/36 binary64))) #s(literal -1/4 binary64))
(fma.f64 #s(literal -1/6 binary64) (.f64 (neg.f64 x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64))) #s(literal -1/4 binary64))
(fma.f64 (.f64 (.f64 (*.f64 x x) x) #s(literal 1/36 binary64)) x #s(literal -1/4 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) x) (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) #s(literal -1/4 binary64))
(fma.f64 #s(literal 1 binary64) (.f64 (.f64 x (.f64 #s(literal 1/36 binary64) x)) (.f64 x x)) #s(literal -1/4 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/1296 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 (.f64 (.f64 x x) x) x) #s(literal -1/4 binary64))) (neg.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (.f64 x #s(literal 1/36 binary64)) (.f64 (.f64 x x) x) #s(literal 1/4 binary64)))))
(fma.f64 (neg.f64 x) (.f64 (.f64 #s(literal -1/6 binary64) x) (.f64 #s(literal 1/6 binary64) (.f64 x x))) #s(literal -1/4 binary64))
(fma.f64 (.f64 #s(literal 1/6 binary64) (.f64 x x)) (.f64 #s(literal 1/6 binary64) (.f64 x x)) #s(literal -1/4 binary64))
(fma.f64 (.f64 (.f64 x x) x) (*.f64 x #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
(fma.f64 (.f64 (.f64 x x) x) (*.f64 #s(literal 1/36 binary64) x) #s(literal -1/4 binary64))
(fma.f64 #s(literal 1/36 binary64) (.f64 (.f64 (*.f64 x x) x) x) #s(literal -1/4 binary64))
(fma.f64 #s(literal 1/6 binary64) (.f64 (.f64 (.f64 (.f64 x x) x) #s(literal 1/6 binary64)) x) #s(literal -1/4 binary64))
(fma.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/36 binary64) #s(literal -1/4 binary64))
(fma.f64 (.f64 x x) (.f64 #s(literal 1/36 binary64) (*.f64 x x)) #s(literal -1/4 binary64))
(fma.f64 x (.f64 (.f64 (*.f64 x x) x) #s(literal 1/36 binary64)) #s(literal -1/4 binary64))
(-.f64 (/.f64 #s(literal 1/16 binary64) (-.f64 #s(literal -1/4 binary64) (.f64 (.f64 x (.f64 #s(literal 1/36 binary64) x)) (.f64 x x)))) (/.f64 (.f64 (.f64 #s(literal 1/1296 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (-.f64 #s(literal -1/4 binary64) (.f64 (.f64 x (.f64 #s(literal 1/36 binary64) x)) (.f64 x x)))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/46656 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x)) (.f64 (.f64 x x) x))) (fma.f64 (.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal -1/144 binary64) (.f64 (.f64 (.f64 x x) x) x))))) (/.f64 #s(literal 1/64 binary64) (fma.f64 (.f64 #s(literal 1/1296 binary64) (.f64 (.f64 x x) x)) (.f64 (.f64 (.f64 x x) x) (.f64 x x)) (-.f64 #s(literal 1/16 binary64) (.f64 #s(literal -1/144 binary64) (.f64 (.f64 (.f64 x x) x) x))))))
(-.f64 (/.f64 (.f64 (.f64 #s(literal 1/1296 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (.f64 x #s(literal 1/36 binary64)) (.f64 (.f64 x x) x) #s(literal 1/4 binary64))) (/.f64 #s(literal 1/16 binary64) (fma.f64 (.f64 x #s(literal 1/36 binary64)) (.f64 (.f64 x x) x) #s(literal 1/4 binary64))))
(-.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/36 binary64) (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1/4 binary64)))
(-.f64 (.f64 (.f64 x (.f64 #s(literal 1/36 binary64) x)) (.f64 x x)) #s(literal 1/4 binary64))
(+.f64 (/.f64 (.f64 (.f64 #s(literal 1/1296 binary64) (.f64 x x)) (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 x x) x))) (fma.f64 (.f64 x #s(literal 1/36 binary64)) (.f64 (.f64 x x) x) #s(literal 1/4 binary64))) (neg.f64 (/.f64 #s(literal 1/16 binary64) (fma.f64 (.f64 x #s(literal 1/36 binary64)) (.f64 (.f64 x x) x) #s(literal 1/4 binary64)))))
(+.f64 (.f64 (.f64 x (.f64 #s(literal 1/36 binary64) x)) (.f64 x x)) #s(literal -1/4 binary64))
(+.f64 #s(literal -1/4 binary64) (.f64 (.f64 x (.f64 #s(literal 1/36 binary64) x)) (.f64 x x)))
(.f64 (.f64 x (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(.f64 (.f64 (*.f64 x x) x) x)
(.f64 (.f64 x x) (*.f64 x x))
(.f64 x (.f64 (*.f64 x x) x))
(pow.f64 (.f64 (.f64 (*.f64 x x) x) x) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(exp.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)))
(.f64 (pow.f64 (.f64 x x) #s(literal 3/4 binary64)) (pow.f64 (*.f64 x x) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
(.f64 #s(literal -1 binary64) (neg.f64 #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(.f64 #s(literal 1 binary64) #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(.f64 #s(approx (+ ( 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) #s(literal 1 binary64))
#s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(/.f64 (neg.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x)))) #s(literal -1 binary64))
(/.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x))) #s(literal 1 binary64))
(neg.f64 (neg.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (+ (* 1/6 (* x x)) 1/2) (.f64 #s(literal 1/6 binary64) (.f64 x x)))))

eval68.0ms (1.4%)

Memory: -15.8MiB live, 102.2MiB allocated
Compiler: Compiled 11 881 to 834 computations (93% saved)

prune60.0ms (1.2%)

Memory

27.4MiB live, 104.2MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	553	2	555
Fresh	0	0	0
Picked	1	2	3
Done	0	5	5
Total	554	9	563

Accuracy

100.0%

Counts

563 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(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))
✓	52.6%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
	52.5%	#s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (/.f64 (*.f64 #s(literal 1/6 binary64) x) (/.f64 #s(literal 1 binary64) x)))
✓	52.6%	#s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
	52.6%	#s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (*.f64 (/.f64 x #s(literal 6 binary64)) x))
✓	52.6%	#s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	52.6%	#s(approx (/ (/ (+ (* (* x x) (* x x)) -9) 6) (+ (* x x) 3)) (.f64 (.f64 x #s(literal 1/6 binary64)) x))
✓	47.8%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 208 to 86 computations (58.7% saved)

regimes24.0ms (0.5%)

Memory

-6.0MiB live, 31.6MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

regimes12.0ms (0.2%)

Memory

19.2MiB live, 19.2MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

regimes32.0ms (0.7%)

Memory

-22.1MiB live, 29.2MiB allocated

Counts

7 → 1

Calls

Call 1

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

24.0ms	(*.f64 x x)
3.0ms	x
2.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
2.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 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)

regimes8.0ms (0.2%)

Memory

13.4MiB live, 13.4MiB allocated

Counts

4 → 2

Calls

Call 1

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

Calls

4 calls:

2.0ms	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
98.7%	2	`x`
98.7%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
98.7%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
98.7%	2	`(*.f64 x x)`

Compiler

Compiled 20 to 13 computations (35% saved)

regimes9.0ms (0.2%)

Memory

-27.9MiB live, 9.8MiB 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:

5.0ms	(*.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
47.8%	1	`x`
47.8%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
47.8%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
47.8%	1	`(*.f64 x x)`

Compiler

Compiled 20 to 13 computations (35% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.335138656821511e-7	56.596690234093906

Compiler

Compiled 11 to 10 computations (9.1% saved)

simplify5.0ms (0.1%)

Memory

9.3MiB live, 9.3MiB allocated

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	55
1	24	55

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(if (<=.f64 (.f64 x x) #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx (/ (- ( x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x 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))
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 #s(literal 1/6 binary64) x) x #s(literal -1/2 binary64))
(if (<=.f64 (.f64 x x) #s(literal 944473296573929/2361183241434822606848 binary64)) #s(approx (/ (- ( x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x))))
(if (<=.f64 (.f64 x x) #s(literal 944473296573929/2361183241434822606848 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))))
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

soundness531.0ms (10.8%)

Memory

-6.3MiB live, 310.0MiB allocated

Rules

2 679×	`lower-fma.f32`
2 675×	`lower-fma.f64`
2 584×	`lower-/.f32`
2 583×	`lower-/.f64`
2 508×	`lower-*.f32`

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
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	23	78
0	36	64
1	151	60
2	925	60
0	8772	59

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 100 to 61 computations (39% saved)

preprocess34.0ms (0.7%)

Memory: 30.7MiB live, 69.6MiB allocated
Remove: (abs x)
Compiler: Compiled 114 to 64 computations (43.9% 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	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

start0.0ms (0%)

analyze0.0ms (0%)

sample664.0ms (13.6%)

explain83.0ms (1.7%)

preprocess22.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize20.0ms (0.4%)

series2.0ms (0%)

simplify131.0ms (2.7%)

rewrite221.0ms (4.5%)

eval103.0ms (2.1%)

prune152.0ms (3.1%)

simplify7.0ms (0.1%)

localize117.0ms (2.4%)

series8.0ms (0.2%)

simplify334.0ms (6.8%)

rewrite541.0ms (11%)

eval408.0ms (8.3%)

prune164.0ms (3.4%)

simplify9.0ms (0.2%)

localize89.0ms (1.8%)

series8.0ms (0.2%)

simplify140.0ms (2.9%)

rewrite234.0ms (4.8%)

eval149.0ms (3%)

prune105.0ms (2.1%)

simplify7.0ms (0.1%)

localize82.0ms (1.7%)

series5.0ms (0.1%)

simplify109.0ms (2.2%)

rewrite198.0ms (4%)

eval68.0ms (1.4%)

prune60.0ms (1.2%)

regimes24.0ms (0.5%)

regimes12.0ms (0.2%)

regimes32.0ms (0.7%)

regimes8.0ms (0.2%)

regimes9.0ms (0.2%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

soundness531.0ms (10.8%)

preprocess34.0ms (0.7%)

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