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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 9 to 8 computations (11.1% saved)

sample569.0ms (10.6%)

Memory

27.2MiB live, 886.4MiB allocated

Samples

375.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 211.0ms

ival-mult: 87.0ms (41.2% of total)

ival-div: 69.0ms (32.7% of total)

ival-sub: 40.0ms (19% of total)

exact: 7.0ms (3.3% of total)

ival-true: 5.0ms (2.4% of total)

ival-assert: 3.0ms (1.4% of total)

Bogosity

explain92.0ms (1.7%)

Memory

-12.5MiB live, 73.4MiB 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

21.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-mult: 4.0ms (38.2% of total)

ival-div: 3.0ms (28.6% of total)

ival-sub: 2.0ms (19.1% of total)

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

exact: 0.0ms (0% of total)

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

preprocess19.0ms (0.4%)

Memory

13.2MiB live, 13.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 7 to 6 computations (14.3% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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 7 to 6 computations (14.3% saved)

simplify4.0ms (0.1%)

Memory

2.2MiB live, 2.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize67.0ms (1.3%)

Memory

-18.7MiB live, 18.8MiB 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	0.0546875	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Samples

63.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (39.7% of total)

ival-mult: 2.0ms (39.7% of total)

ival-sub: 1.0ms (19.8% of total)

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

3.9MiB live, 3.9MiB 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 -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 (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 (.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 (* 1/6 (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 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 (.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 (* 1/6 (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 -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

3 calls:

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

simplify253.0ms (4.7%)

Memory

-3.5MiB live, 85.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	162
1	43	162
2	98	162
3	236	162
4	759	162
5	1590	162
6	2334	162
7	3514	162
8	4236	162
9	5345	162
10	6402	162
11	7126	162
0	8039	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)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(pow x 2)
(pow x 2)
(pow x 2)
(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)))))
(* 1/6 (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) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* 1/6 (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)

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

rewrite679.0ms (12.7%)

Memory

-172.0MiB live, 285.9MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 516

Calls

Call 1

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

Outputs
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64))))) (pow.f64 (neg.f64 (fma.f64 x x #s(literal 3 binary64))) #s(literal -1 binary64)))
(.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))) (pow.f64 (neg.f64 (fma.f64 (.f64 #s(literal 3 binary64) x) x (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)))
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) #s(literal 1 binary64))) (fma.f64 x x #s(literal -3 binary64)))
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(*.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))
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eval66.0ms (1.2%)

Memory: 7.9MiB live, 166.4MiB allocated
Compiler: Compiled 14 583 to 1 649 computations (88.7% saved)

prune66.0ms (1.2%)

Memory

9.2MiB live, 166.4MiB allocated

Pruning

7 alts after pruning (7 fresh and 0 done)

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

Accuracy

100.0%

Counts

553 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
	65.4%	(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) #s(literal 6 binary64))
	59.9%	(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
▶	53.8%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
▶	53.8%	#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
▶	46.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 118 to 92 computations (22% saved)

simplify8.0ms (0.2%)

Memory

-39.4MiB live, 8.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	92
0	30	86
1	50	86
2	57	86
3	59	86
0	59	86

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize41.0ms (0.8%)

Memory

10.8MiB live, 88.1MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.0703125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
accuracy	0.11553354562325523	(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.0546875	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
accuracy	29.268828043150652	#s(approx (- (* x x) 3) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0.15625	(.f64 #s(literal 1/6 binary64) (.f64 x x))
accuracy	29.26552797010551	#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
accuracy	33.9541643611005	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
accuracy	0.05859375	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
accuracy	0.375	(*.f64 x #s(literal 1/6 binary64))

Samples

30.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 82 to 19 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 6.0ms (31.4% of total)

ival-div: 4.0ms (20.9% of total)

const: 3.0ms (15.7% of total)

ival-add: 3.0ms (15.7% of total)

ival-sub: 1.0ms (5.2% of total)

exact: 1.0ms (5.2% of total)

adjust: 0.0ms (0% of total)

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

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

series7.0ms (0.1%)

Memory

18.1MiB live, 18.1MiB allocated

Counts

11 → 132

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

((+ (* (* x 1/6) x) -1/2) (* x 1/6) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* 1/6 (* x x)) (* x x) (/ (- (* x x) 3) 6) (- (* x x) 3) (/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (+ (* x x) -3))

1.0ms

((+ (* (* x 1/6) x) -1/2) (* x 1/6) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* 1/6 (* x x)) (* x x) (/ (- (* x x) 3) 6) (- (* x x) 3) (/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (+ (* x x) -3))

1.0ms

-inf

((+ (* (* x 1/6) x) -1/2) (* x 1/6) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (* 1/6 (* x x)) (* x x) (/ (- (* x x) 3) 6) (- (* x x) 3) (/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (+ (* x x) -3))

simplify123.0ms (2.3%)

Memory

-11.8MiB live, 144.2MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	758
1	115	758
2	245	758
3	510	758
4	1291	758
5	2328	758
6	3227	758
7	4737	758
8	6077	758
9	7952	758
0	8083	689

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

rewrite160.0ms (3%)

Memory

-3.4MiB live, 236.7MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	77
0	30	71
1	118	71
2	597	71
3	4922	71
0	8463	71

Stop Event

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

Counts

11 → 715

Calls

Call 1

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

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

eval108.0ms (2%)

Memory: 12.5MiB live, 200.5MiB allocated
Compiler: Compiled 13 488 to 1 502 computations (88.9% saved)

prune65.0ms (1.2%)

Memory

19.5MiB live, 142.9MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	861	4	865
Fresh	1	1	2
Picked	1	4	5
Done	0	0	0
Total	863	9	872

Accuracy

100.0%

Counts

872 → 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))
▶	65.4%	(fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
✓	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
▶	65.4%	(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) #s(literal 6 binary64))
✓	53.8%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	53.7%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (- (* x x) 3) (*.f64 x x))))
▶	53.8%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	53.8%	#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
✓	46.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 148 to 106 computations (28.4% saved)

simplify209.0ms (3.9%)

Memory

0.2MiB live, 155.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal 3 binary64))
cost-diff	128	(neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))
cost-diff	192	(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))))
cost-diff	512	(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) #s(literal 6 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 1/36 binary64) (.f64 x x))
cost-diff	128	(neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
cost-diff	320	(fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
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 #s(literal 1/6 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
cost-diff	0	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
cost-diff	384	(/.f64 x #s(literal 6 binary64))

Rules

9 888×	`lower-fma.f32`
9 876×	`lower-fma.f64`
2 468×	`lower-*.f32`
2 458×	`lower-*.f64`
1 522×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	224
0	65	213
1	123	209
2	199	209
3	383	209
4	809	209
5	2232	209
6	4145	209
7	5439	209
8	6035	209
9	6199	209
10	6308	209
11	6548	209
12	7197	209
13	7390	209
14	7390	209
15	7390	209
16	7638	209
0	8002	204

Stop Event

1×	iter limit
1×	node limit
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) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(/.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
(fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
(.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)) x)
(.f64 #s(literal 1/36 binary64) (.f64 x x))
#s(literal 1/36 binary64)
(*.f64 x x)
x
(/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
#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)
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) #s(literal 6 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 x (fma.f64 x x #s(literal 3 binary64)))
(fma.f64 x x #s(literal 3 binary64))
(neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))
(/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))
#s(literal 9 binary64)
#s(literal 6 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 1/6 binary64))
(/.f64 x #s(literal 6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
x
#s(literal 6 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
(/.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
(fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal -1/36 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal 1/36 binary64) (*.f64 x x)) x)
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/36 binary64))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
#s(literal 1/36 binary64)
(*.f64 x x)
x
(/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
#s(literal 1/6 binary64)
#s(literal 1/2 binary64)
(neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
#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)
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) #s(literal 6 binary64))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 #s(literal 1/6 binary64) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal -3/2 binary64) (fma.f64 x x #s(literal 3 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))))
(-.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 x x #s(literal 3 binary64))) (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(/.f64 x (fma.f64 x x #s(literal 3 binary64)))
(fma.f64 x x #s(literal 3 binary64))
(neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))
(/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64)))
(/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))
#s(literal 9 binary64)
#s(literal 6 binary64)

localize151.0ms (2.8%)

Memory

-17.1MiB live, 134.1MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.0546875	(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) #s(literal 6 binary64))
accuracy	0.14354106516013923	(/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))
accuracy	5.876786125841036	(fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64)))))
accuracy	15.254189061471044	(/.f64 x (fma.f64 x x #s(literal 3 binary64)))
accuracy	0.1311586032842638	(/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
accuracy	0.19140625	(.f64 #s(literal 1/36 binary64) (.f64 x x))
accuracy	5.852255076301667	(fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
accuracy	15.271084348016819	(/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.0703125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (- (* x x) 3) (*.f64 x x))))
accuracy	0.11553354562325523	(/.f64 #s(literal 6 binary64) #s(approx (- (* x x) 3) (*.f64 x x)))
accuracy	29.268828043150652	#s(approx (- (* x x) 3) (*.f64 x x))
accuracy	0.1171875	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
accuracy	0.375	(*.f64 #s(literal 1/6 binary64) x)
accuracy	29.26552797010551	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
accuracy	0	(/.f64 x #s(literal 6 binary64))
accuracy	0.05859375	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))

Samples

97.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 227 to 42 computations (81.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 81.0ms

const: 26.0ms (32.2% of total)

ival-mult: 26.0ms (32.2% of total)

ival-div: 15.0ms (18.6% of total)

ival-add: 6.0ms (7.4% of total)

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

ival-neg: 2.0ms (2.5% of total)

ival-sub: 1.0ms (1.2% of total)

exact: 1.0ms (1.2% of total)

adjust: 0.0ms (0% of total)

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

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

series19.0ms (0.4%)

Memory

24.5MiB live, 24.5MiB allocated

Counts

20 → 240

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

5.0ms

inf

((/ x 6) (+ (* (/ x 6) x) -1/2) (/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ 1 (/ 6 (- (* x x) 3))) (/ 6 (- (* x x) 3)) (- (* x x) 3) (* x x) (+ (* (* (* 1/36 (* x x)) x) (/ x (+ (* (* x x) 1/6) 1/2))) (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2)))) (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) (* 1/36 (* x x)) (/ (+ (* (pow x 3) (/ x (+ (* x x) 3))) (neg (/ 9 (+ (* x x) 3)))) 6) (+ (* (pow x 3) (/ x (+ (* x x) 3))) (neg (/ 9 (+ (* x x) 3)))) (neg (/ 9 (+ (* x x) 3))) (pow x 3) (/ x (+ (* (* x x) 1/6) 1/2)) (/ -1/4 (+ (* -1/6 (* x x)) -1/2)) (/ x (+ (* x x) 3)) (/ 9 (+ (* x x) 3)))

4.0ms

((/ x 6) (+ (* (/ x 6) x) -1/2) (/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ 1 (/ 6 (- (* x x) 3))) (/ 6 (- (* x x) 3)) (- (* x x) 3) (* x x) (+ (* (* (* 1/36 (* x x)) x) (/ x (+ (* (* x x) 1/6) 1/2))) (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2)))) (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) (* 1/36 (* x x)) (/ (+ (* (pow x 3) (/ x (+ (* x x) 3))) (neg (/ 9 (+ (* x x) 3)))) 6) (+ (* (pow x 3) (/ x (+ (* x x) 3))) (neg (/ 9 (+ (* x x) 3)))) (neg (/ 9 (+ (* x x) 3))) (pow x 3) (/ x (+ (* (* x x) 1/6) 1/2)) (/ -1/4 (+ (* -1/6 (* x x)) -1/2)) (/ x (+ (* x x) 3)) (/ 9 (+ (* x x) 3)))

3.0ms

-inf

((/ x 6) (+ (* (/ x 6) x) -1/2) (/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ 1 (/ 6 (- (* x x) 3))) (/ 6 (- (* x x) 3)) (- (* x x) 3) (* x x) (+ (* (* (* 1/36 (* x x)) x) (/ x (+ (* (* x x) 1/6) 1/2))) (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2)))) (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) (* 1/36 (* x x)) (/ (+ (* (pow x 3) (/ x (+ (* x x) 3))) (neg (/ 9 (+ (* x x) 3)))) 6) (+ (* (pow x 3) (/ x (+ (* x x) 3))) (neg (/ 9 (+ (* x x) 3)))) (neg (/ 9 (+ (* x x) 3))) (pow x 3) (/ x (+ (* (* x x) 1/6) 1/2)) (/ -1/4 (+ (* -1/6 (* x x)) -1/2)) (/ x (+ (* x x) 3)) (/ 9 (+ (* x x) 3)))

simplify236.0ms (4.4%)

Memory

-10.2MiB live, 158.6MiB allocated

Algorithm

1×	egg-herbie

Rules

14 978×	`lower-fma.f64`
14 978×	`lower-fma.f32`
5 380×	`lower-+.f64`
5 380×	`lower-+.f32`
3 694×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	1783
1	613	1782
2	1544	1774
3	4164	1774
0	8316	1672

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

Inputs
(* 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)
-1/2
(- (* 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))
(* 1/6 (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)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
-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)
-3
(- (pow x 2) 3)
(- (pow x 2) 3)
(- (pow x 2) 3)
(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)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/6 (* -1/18 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/54 (pow x 2)) 1/18)))) 1/2)
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (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)
-3
(- (pow x 2) 3)
(- (pow x 2) 3)
(- (pow x 2) 3)
-3
(- (pow x 2) 3)
(- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 3)
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3)))) 3)
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(* 2 x)
(* x (+ 2 (* -2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 2/9 (pow x 2)) 2/3))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/9 (* -2/27 (pow x 2)))) 2/3))))
1/2
(+ 1/2 (* -1/6 (pow x 2)))
(+ 1/2 (* (pow x 2) (- (* 1/18 (pow x 2)) 1/6)))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/54 (pow x 2)))) 1/6)))
(* 1/3 x)
(* x (+ 1/3 (* -1/9 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (- (* 1/27 (pow x 2)) 1/9))))
(* x (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/27 (* -1/81 (pow x 2)))) 1/9))))
3
(+ 3 (* -1 (pow x 2)))
(+ 3 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -1/9 (pow x 2)))) 1)))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 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 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 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 (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))
(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)
(pow x 2)
(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 (pow x 2))
(/ (- (* 9/2 (/ 1 (pow x 2))) 3/2) (pow x 2))
(/ (- (* 9/2 (/ 1 (pow x 2))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(/ (- (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6)))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (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) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(/ -9 (pow x 2))
(/ (- (* 27 (/ 1 (pow x 2))) 9) (pow x 2))
(/ (- (* 27 (/ 1 (pow x 2))) (+ 9 (/ 81 (pow x 4)))) (pow x 2))
(/ (- (+ (* 27 (/ 1 (pow x 2))) (* 243 (/ 1 (pow x 6)))) (+ 9 (/ 81 (pow x 4)))) (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 6 x)
(/ (- 6 (* 18 (/ 1 (pow x 2)))) x)
(/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) x)
(/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) x)
(/ 3/2 (pow x 2))
(/ (- 3/2 (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6))))) (pow x 2))
(/ 1 x)
(/ (- 1 (* 3 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 9 (pow x 4))) (* 3 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 9 (pow x 4))) (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6))))) x)
(/ 9 (pow x 2))
(/ (- 9 (* 27 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 9 (/ 81 (pow x 4))) (* 27 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 9 (/ 81 (pow x 4))) (+ (* 27 (/ 1 (pow x 2))) (* 243 (/ 1 (pow x 6))))) (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 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 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 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 (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))
(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)
(pow x 2)
(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 (pow x 2))
(/ (- (* 9/2 (/ 1 (pow x 2))) 3/2) (pow x 2))
(/ (- (* 9/2 (/ 1 (pow x 2))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(/ (- (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6)))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (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) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2)))))
(/ -9 (pow x 2))
(/ (- (* 27 (/ 1 (pow x 2))) 9) (pow x 2))
(/ (- (* 27 (/ 1 (pow x 2))) (+ 9 (/ 81 (pow x 4)))) (pow x 2))
(/ (- (+ (* 27 (/ 1 (pow x 2))) (* 243 (/ 1 (pow x 6)))) (+ 9 (/ 81 (pow x 4)))) (pow x 2))
(pow x 3)
(pow x 3)
(pow x 3)
(pow x 3)
(/ 6 x)
(* -1 (/ (- (* 18 (/ 1 (pow x 2))) 6) x))
(* -1 (/ (- (* 18 (/ 1 (pow x 2))) (+ 6 (/ 54 (pow x 4)))) x))
(* -1 (/ (- (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6)))) (+ 6 (/ 54 (pow x 4)))) x))
(/ 3/2 (pow x 2))
(/ (- 3/2 (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6))))) (pow x 2))
(/ 1 x)
(* -1 (/ (- (* 3 (/ 1 (pow x 2))) 1) x))
(* -1 (/ (- (* 3 (/ 1 (pow x 2))) (+ 1 (/ 9 (pow x 4)))) x))
(* -1 (/ (- (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6)))) (+ 1 (/ 9 (pow x 4)))) x))
(/ 9 (pow x 2))
(/ (- 9 (* 27 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 9 (/ 81 (pow x 4))) (* 27 (/ 1 (pow x 2)))) (pow x 2))
(/ (- (+ 9 (/ 81 (pow x 4))) (+ (* 27 (/ 1 (pow x 2))) (* 243 (/ 1 (pow x 6))))) (pow x 2))

Outputs
(* 1/6 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 x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 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))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
-2
#s(literal -2 binary64)
(- (* -2/3 (pow x 2)) 2)
(fma.f64 #s(literal -2/3 binary64) (*.f64 x x) #s(literal -2 binary64))
(- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2)
(fma.f64 (fma.f64 #s(literal -2/9 binary64) (.f64 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 (fma.f64 (fma.f64 #s(literal -2/27 binary64) (.f64 x x) #s(literal -2/9 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal -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)
(*.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 x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(- (* (pow x 2) (+ 1/6 (* -1/18 (pow x 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal -1/2 binary64))
(- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/54 (pow x 2)) 1/18)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/54 binary64) (.f64 x x) #s(literal -1/18 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #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))
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 3)
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/3 binary64) x) x #s(literal -3 binary64))
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3)))) 3)
(fma.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/3 binary64)) x) x #s(literal -3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* 2/9 (pow x 2)) 2/3))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/9 binary64) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/9 (* -2/27 (pow x 2)))) 2/3))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/27 binary64) (.f64 x x) #s(literal 2/9 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* -1/6 (pow x 2)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* 1/18 (pow x 2)) 1/6)))
(fma.f64 (fma.f64 #s(literal 1/18 binary64) (.f64 x x) #s(literal -1/6 binary64)) (.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/54 (pow x 2)))) 1/6)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/54 binary64) (.f64 x x) #s(literal 1/18 binary64)) (.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* -1/9 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/9 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (- (* 1/27 (pow x 2)) 1/9))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 x x) #s(literal -1/9 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/27 (* -1/81 (pow x 2)))) 1/9))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/81 binary64) (.f64 x x) #s(literal 1/27 binary64)) (.f64 x x) #s(literal -1/9 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
3
#s(literal 3 binary64)
(+ 3 (* -1 (pow x 2)))
(-.f64 #s(literal 3 binary64) (*.f64 x x))
(+ 3 (* (pow x 2) (- (* 1/3 (pow x 2)) 1)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/3 binary64) (-.f64 #s(literal 3 binary64) (*.f64 x x)))
(+ 3 (* (pow x 2) (- (* (pow x 2) (+ 1/3 (* -1/9 (pow x 2)))) 1)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal -1/9 binary64) (.f64 x x) #s(literal 1/3 binary64)) (-.f64 #s(literal 3 binary64) (.f64 x x)))
(* 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))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 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 (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 x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 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 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x)
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 54 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.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) (pow.f64 x #s(literal 6 binary64))) #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 54 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 18 binary64) (.f64 x x)))) (.f64 x x))
(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)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 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 x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(/ -3/2 (pow x 2))
(/.f64 #s(literal -3/2 binary64) (*.f64 x x))
(/ (- (* 9/2 (/ 1 (pow x 2))) 3/2) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) x) x)
(/ (- (* 9/2 (/ 1 (pow x 2))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (/.f64 #s(literal 27/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
(/ (- (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6)))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 81/2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (/.f64 #s(literal 27/2 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(* 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 x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 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))
(/ -9 (pow x 2))
(/.f64 #s(literal -9 binary64) (*.f64 x x))
(/ (- (* 27 (/ 1 (pow x 2))) 9) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 27 binary64) (*.f64 x x)) #s(literal 9 binary64)) x) x)
(/ (- (* 27 (/ 1 (pow x 2))) (+ 9 (/ 81 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 27 binary64) (.f64 x x)) #s(literal 9 binary64)) (/.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
(/ (- (+ (* 27 (/ 1 (pow x 2))) (* 243 (/ 1 (pow x 6)))) (+ 9 (/ 81 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 243 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 27 binary64) (.f64 x x)) #s(literal 9 binary64)) (/.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ (- 6 (* 18 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) x)
(/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 54 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64))) x)
(/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 54 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64))) (/.f64 #s(literal 162 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(/ 3/2 (pow x 2))
(/.f64 #s(literal 3/2 binary64) (*.f64 x x))
(/ (- 3/2 (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 9/2 binary64) (*.f64 x x))) x) x)
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 27/2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) #s(literal 3/2 binary64))) (.f64 x x))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -81/2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (/.f64 #s(literal 27/2 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 3 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) x)
(/ (- (+ 1 (/ 9 (pow x 4))) (* 3 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
(/ (- (+ 1 (/ 9 (pow x 4))) (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(/ 9 (pow x 2))
(/.f64 #s(literal 9 binary64) (*.f64 x x))
(/ (- 9 (* 27 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 27 binary64) (*.f64 x x))) x) x)
(/ (- (+ 9 (/ 81 (pow x 4))) (* 27 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 27 binary64) (.f64 x x)) #s(literal 9 binary64))) (.f64 x x))
(/ (- (+ 9 (/ 81 (pow x 4))) (+ (* 27 (/ 1 (pow x 2))) (* 243 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -243 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 27 binary64) (.f64 x x)) #s(literal 9 binary64)) (/.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))
(* 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))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 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 (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 x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 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 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x)
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 54 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.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) (pow.f64 x #s(literal 6 binary64))) #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 54 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 18 binary64) (.f64 x x)))) (.f64 x x))
(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)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 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 x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(/ -3/2 (pow x 2))
(/.f64 #s(literal -3/2 binary64) (*.f64 x x))
(/ (- (* 9/2 (/ 1 (pow x 2))) 3/2) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) x) x)
(/ (- (* 9/2 (/ 1 (pow x 2))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (/.f64 #s(literal 27/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
(/ (- (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6)))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 81/2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (/.f64 #s(literal 27/2 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(* 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 x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 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))
(/ -9 (pow x 2))
(/.f64 #s(literal -9 binary64) (*.f64 x x))
(/ (- (* 27 (/ 1 (pow x 2))) 9) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 27 binary64) (*.f64 x x)) #s(literal 9 binary64)) x) x)
(/ (- (* 27 (/ 1 (pow x 2))) (+ 9 (/ 81 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 27 binary64) (.f64 x x)) #s(literal 9 binary64)) (/.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
(/ (- (+ (* 27 (/ 1 (pow x 2))) (* 243 (/ 1 (pow x 6)))) (+ 9 (/ 81 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 243 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 27 binary64) (.f64 x x)) #s(literal 9 binary64)) (/.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(* -1 (/ (- (* 18 (/ 1 (pow x 2))) 6) x))
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* 18 (/ 1 (pow x 2))) (+ 6 (/ 54 (pow x 4)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 54 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64))) x)
(* -1 (/ (- (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6)))) (+ 6 (/ 54 (pow x 4)))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 54 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64))) (/.f64 #s(literal 162 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(/ 3/2 (pow x 2))
(/.f64 #s(literal 3/2 binary64) (*.f64 x x))
(/ (- 3/2 (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 9/2 binary64) (*.f64 x x))) x) x)
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (* 9/2 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 27/2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) #s(literal 3/2 binary64))) (.f64 x x))
(/ (- (+ 3/2 (/ 27/2 (pow x 4))) (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -81/2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (/.f64 #s(literal 27/2 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 3 (/ 1 (pow x 2))) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* 3 (/ 1 (pow x 2))) (+ 1 (/ 9 (pow x 4)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1 binary64))) x)
(* -1 (/ (- (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6)))) (+ 1 (/ 9 (pow x 4)))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(/ 9 (pow x 2))
(/.f64 #s(literal 9 binary64) (*.f64 x x))
(/ (- 9 (* 27 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (-.f64 #s(literal 9 binary64) (/.f64 #s(literal 27 binary64) (*.f64 x x))) x) x)
(/ (- (+ 9 (/ 81 (pow x 4))) (* 27 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 27 binary64) (.f64 x x)) #s(literal 9 binary64))) (.f64 x x))
(/ (- (+ 9 (/ 81 (pow x 4))) (+ (* 27 (/ 1 (pow x 2))) (* 243 (/ 1 (pow x 6))))) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -243 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 27 binary64) (.f64 x x)) #s(literal 9 binary64)) (/.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))

rewrite243.0ms (4.5%)

Memory

-21.8MiB live, 213.2MiB allocated

Rules

4 896×	`lower-/.f32`
4 880×	`lower-/.f64`
3 818×	`lower-*.f32`
3 808×	`lower-*.f64`
2 996×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	179
0	65	158
1	264	145
2	1794	145
0	8314	141

Stop Event

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

Counts

20 → 952

Calls

Call 1

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

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

eval202.0ms (3.8%)

Memory: 15.6MiB live, 320.9MiB allocated
Compiler: Compiled 33 835 to 3 156 computations (90.7% saved)

prune120.0ms (2.2%)

Memory

-8.7MiB live, 238.7MiB allocated

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	1 236	4	1 240
Fresh	0	0	0
Picked	4	1	5
Done	0	4	4
Total	1 240	9	1 249

Accuracy

100.0%

Counts

1 249 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	64.5%	(fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64)))
✓	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
▶	74.5%	(/.f64 (fma.f64 (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x)) x (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64)))) #s(literal 6 binary64))
✓	53.8%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	53.8%	#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
▶	53.8%	#s(approx (/ (- (* x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x))
✓	53.8%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	53.8%	#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
✓	46.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 76 to 56 computations (26.3% saved)

simplify357.0ms (6.7%)

Memory

16.7MiB live, 93.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 1/36 binary64) (.f64 x x))
cost-diff	320	(fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64)))
cost-diff	0	(fma.f64 x x #s(literal 3 binary64))
cost-diff	0	(/.f64 x (fma.f64 x x #s(literal 3 binary64)))
cost-diff	192	(fma.f64 (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x)) x (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64))))
cost-diff	512	(/.f64 (fma.f64 (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x)) x (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64)))) #s(literal 6 binary64))
cost-diff	0	(/.f64 #s(literal 6 binary64) x)
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
cost-diff	768	(/.f64 x (/.f64 #s(literal 6 binary64) x))
cost-diff	0	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x))
cost-diff	384	(/.f64 x #s(literal 6 binary64))

Rules

3 664×	`lower-fma.f32`
3 656×	`lower-fma.f64`
2 532×	`lower-*.f32`
2 522×	`lower-*.f64`
1 464×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	191
0	56	189
1	102	179
2	165	174
3	250	174
4	393	174
5	847	174
6	1324	174
7	1527	174
8	1707	174
9	1953	174
10	2059	174
11	2243	174
12	2757	174
13	3407	174
14	3925	174
15	4292	174
16	4612	174
17	4697	174
18	4955	174
19	5173	174
20	5285	174
21	5285	174
22	5285	174
23	5621	174
24	6715	174
25	6913	174
26	6957	174
27	6995	174
28	7009	174
29	7059	174
30	7067	174
31	7071	174
32	7071	174
33	7217	174
34	7610	174
35	7859	174
0	8029	170

Stop Event

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

Calls

Call 1

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

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

localize106.0ms (2%)

Memory

2.4MiB live, 157.8MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.19140625	(.f64 #s(literal 1/36 binary64) (.f64 x x))
accuracy	5.852255076301667	(fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64)))
accuracy	15.271084348016819	(/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
accuracy	32.798844881590846	#s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64))
accuracy	0.0546875	(/.f64 (fma.f64 (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x)) x (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64)))) #s(literal 6 binary64))
accuracy	0.14354106516013923	(/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64)))
accuracy	15.254189061471044	(/.f64 x (fma.f64 x x #s(literal 3 binary64)))
accuracy	15.303292023929712	(.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x))
accuracy	0	(/.f64 #s(literal 6 binary64) x)
accuracy	0.14453125	(/.f64 x (/.f64 #s(literal 6 binary64) x))
accuracy	29.507704452452924	#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
accuracy	0	(/.f64 x #s(literal 6 binary64))
accuracy	0.1171875	(*.f64 (/.f64 x #s(literal 6 binary64)) x)
accuracy	29.507704452452924	#s(approx (/ (- (* x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x))

Samples

78.0ms

256×

valid

Compiler

Compiled 191 to 37 computations (80.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 47.0ms

ival-div: 13.0ms (27.7% of total)

ival-mult: 13.0ms (27.7% of total)

ival-add: 10.0ms (21.3% of total)

const: 8.0ms (17% of total)

ival-sub: 1.0ms (2.1% of total)

exact: 1.0ms (2.1% of total)

ival-neg: 1.0ms (2.1% of total)

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

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

series15.0ms (0.3%)

Memory

-4.2MiB live, 34.7MiB allocated

Counts

17 → 204

Calls

Call 1

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

Outputs
#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 -1/2 (taylor 0 x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (/.f64 x #s(literal 6 binary64)) x)) (patch #s(approx (/ (- ( x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (/.f64 x #s(literal 6 binary64)) x)) (patch #s(approx (/ (- ( x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (/.f64 x #s(literal 6 binary64)) x)) (patch #s(approx (/ (- ( x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (/.f64 x #s(literal 6 binary64)) x)) (patch #s(approx (/ (- ( x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 x #s(literal 6 binary64)) x) (patch (.f64 (/.f64 x #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 x #s(literal 6 binary64)) x) (patch (.f64 (/.f64 x #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 x #s(literal 6 binary64)) x) (patch (.f64 (/.f64 x #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (/.f64 x #s(literal 6 binary64)) x) (patch (.f64 (/.f64 x #s(literal 6 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 6 binary64) x)) (patch (/.f64 x (/.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 6 binary64) x)) (patch (/.f64 x (/.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 6 binary64) x)) (patch (/.f64 x (/.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 x (/.f64 #s(literal 6 binary64) x)) (patch (/.f64 x (/.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())) ())
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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 (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x)) x (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64)))) #s(literal 6 binary64)) (patch (/.f64 (fma.f64 (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x)) x (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64)))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (/.f64 (fma.f64 (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x)) x (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64)))) #s(literal 6 binary64)) (patch (/.f64 (fma.f64 (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x)) x (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64)))) #s(literal 6 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x)) x (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64)))) (patch (fma.f64 (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x)) x (/.f64 #s(literal -9 binary64) (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 (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x)) x (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64)))) (patch (fma.f64 (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x)) x (/.f64 #s(literal -9 binary64) (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 (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x)) x (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64)))) (patch (fma.f64 (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x)) x (/.f64 #s(literal -9 binary64) (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 (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x)) x (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64)))) (patch (fma.f64 (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x)) x (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64)))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 3 (/ 1 (pow x 2))) 1) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 3 (/ 1 (pow x 2))) (+ 1 (/ 9 (pow x 4)))) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6)))) (+ 1 (/ 9 (pow x 4)))) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 x (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (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 (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64))) (patch (fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #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 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64))) (patch (fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #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 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64))) (patch (fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #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 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64))) (patch (fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/36 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/36 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/36 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/36 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/36 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/36 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 1/36 binary64) (.f64 x x)) (patch (.f64 #s(literal 1/36 binary64) (.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 (/ 6 x) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (patch (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 18 (/ 1 (pow x 2))) 6) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (patch (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (* 18 (/ 1 (pow x 2))) (+ 6 (/ 54 (pow x 4)))) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (patch (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (- (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6)))) (+ 6 (/ 54 (pow x 4)))) x)) (taylor -inf x) (#s(alt (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (patch (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt x (taylor -inf x) (#s(alt (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x)) (patch (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 (pow x 2))) 1))) (taylor -inf x) (#s(alt (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x)) (patch (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (* 3 (/ 1 (pow x 2))) (+ 1 (/ 9 (pow x 4)))))) (taylor -inf x) (#s(alt (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x)) (patch (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6)))) (+ 1 (/ 9 (pow x 4)))))) (taylor -inf x) (#s(alt (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x)) (patch (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ -9 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 27 (/ 1 (pow x 2))) 9) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 27 (/ 1 (pow x 2))) (+ 9 (/ 81 (pow x 4)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 27 (/ 1 (pow x 2))) (* 243 (/ 1 (pow x 6)))) (+ 9 (/ 81 (pow x 4)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64))) (patch (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ -3/2 (pow x 2)) (taylor -inf x) (#s(alt #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64)) (patch #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 9/2 (/ 1 (pow x 2))) 3/2) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64)) (patch #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (* 9/2 (/ 1 (pow x 2))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64)) (patch #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ (- (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6)))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2)) (taylor -inf x) (#s(alt #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64)) (patch #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

-inf

((/ x 6) (/ (- (* x x) 3) 6) (* (/ x 6) x) (/ x (/ 6 x)) (/ (- (* x x) 3) 6) (/ 6 x) (/ (+ (* (* (/ x (+ (* x x) 3)) (* x x)) x) (/ -9 (+ (* x x) 3))) 6) (+ (* (* (/ x (+ (* x x) 3)) (* x x)) x) (/ -9 (+ (* x x) 3))) (/ x (+ (* x x) 3)) (+ (* x x) 3) (+ (* (* (* 1/36 (* x x)) x) (/ x (+ (* (* x x) 1/6) 1/2))) (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2)))) (* 1/36 (* x x)) (* x x) (/ x (+ (* (* x x) 1/6) 1/2)) (* (/ x (+ (* x x) 3)) (* x x)) (/ -9 (+ (* x x) 3)) (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))))

2.0ms

inf

((/ x 6) (/ (- (* x x) 3) 6) (* (/ x 6) x) (/ x (/ 6 x)) (/ (- (* x x) 3) 6) (/ 6 x) (/ (+ (* (* (/ x (+ (* x x) 3)) (* x x)) x) (/ -9 (+ (* x x) 3))) 6) (+ (* (* (/ x (+ (* x x) 3)) (* x x)) x) (/ -9 (+ (* x x) 3))) (/ x (+ (* x x) 3)) (+ (* x x) 3) (+ (* (* (* 1/36 (* x x)) x) (/ x (+ (* (* x x) 1/6) 1/2))) (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2)))) (* 1/36 (* x x)) (* x x) (/ x (+ (* (* x x) 1/6) 1/2)) (* (/ x (+ (* x x) 3)) (* x x)) (/ -9 (+ (* x x) 3)) (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))))

2.0ms

((/ x 6) (/ (- (* x x) 3) 6) (* (/ x 6) x) (/ x (/ 6 x)) (/ (- (* x x) 3) 6) (/ 6 x) (/ (+ (* (* (/ x (+ (* x x) 3)) (* x x)) x) (/ -9 (+ (* x x) 3))) 6) (+ (* (* (/ x (+ (* x x) 3)) (* x x)) x) (/ -9 (+ (* x x) 3))) (/ x (+ (* x x) 3)) (+ (* x x) 3) (+ (* (* (* 1/36 (* x x)) x) (/ x (+ (* (* x x) 1/6) 1/2))) (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2)))) (* 1/36 (* x x)) (* x x) (/ x (+ (* (* x x) 1/6) 1/2)) (* (/ x (+ (* x x) 3)) (* x x)) (/ -9 (+ (* x x) 3)) (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))))

simplify188.0ms (3.5%)

Memory

-5.4MiB live, 241.2MiB allocated

Algorithm

1×	egg-herbie

Rules

14 974×	`lower-fma.f64`
14 974×	`lower-fma.f32`
4 616×	`lower-*.f64`
4 616×	`lower-*.f32`
4 594×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	187	1426
1	522	1426
2	1347	1422
3	3784	1422
0	8221	1332

Stop Event

1×	iter limit
1×	node limit

Counts

204 → 202

Calls

Call 1

Inputs
(* 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))
(* 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)
(/ 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)
-3
(- (pow x 2) 3)
(- (pow x 2) 3)
(- (pow x 2) 3)
(* 1/3 x)
(* x (+ 1/3 (* -1/9 (pow x 2))))
(* x (+ 1/3 (* (pow x 2) (- (* 1/27 (pow x 2)) 1/9))))
(* x (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/27 (* -1/81 (pow x 2)))) 1/9))))
3
(+ 3 (pow x 2))
(+ 3 (pow x 2))
(+ 3 (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)
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 2 x)
(* x (+ 2 (* -2/3 (pow x 2))))
(* x (+ 2 (* (pow x 2) (- (* 2/9 (pow x 2)) 2/3))))
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/9 (* -2/27 (pow x 2)))) 2/3))))
(* 1/3 (pow x 3))
(* (pow x 3) (+ 1/3 (* -1/9 (pow x 2))))
(* (pow x 3) (+ 1/3 (* (pow x 2) (- (* 1/27 (pow x 2)) 1/9))))
(* (pow x 3) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/27 (* -1/81 (pow x 2)))) 1/9))))
-3
(- (pow x 2) 3)
(- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 3)
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3)))) 3)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/6 (* -1/18 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/54 (pow x 2)) 1/18)))) 1/2)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 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))
(* (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)
(* 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) (- 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 x)
(/ (- 1 (* 3 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 9 (pow x 4))) (* 3 (/ 1 (pow x 2)))) x)
(/ (- (+ 1 (/ 9 (pow x 4))) (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6))))) x)
(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)))))
(* 1/6 (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)))))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 6 x)
(/ (- 6 (* 18 (/ 1 (pow x 2)))) x)
(/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) x)
(/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) x)
x
(* x (- 1 (* 3 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 9 (pow x 4))) (* 3 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 9 (pow x 4))) (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6))))))
(/ -9 (pow x 2))
(/ (- (* 27 (/ 1 (pow x 2))) 9) (pow x 2))
(/ (- (* 27 (/ 1 (pow x 2))) (+ 9 (/ 81 (pow x 4)))) (pow x 2))
(/ (- (+ (* 27 (/ 1 (pow x 2))) (* 243 (/ 1 (pow x 6)))) (+ 9 (/ 81 (pow x 4)))) (pow x 2))
(/ -3/2 (pow x 2))
(/ (- (* 9/2 (/ 1 (pow x 2))) 3/2) (pow x 2))
(/ (- (* 9/2 (/ 1 (pow x 2))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(/ (- (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6)))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 1/6 x)
(* 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))
(* (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)
(* 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) (- 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 x)
(* -1 (/ (- (* 3 (/ 1 (pow x 2))) 1) x))
(* -1 (/ (- (* 3 (/ 1 (pow x 2))) (+ 1 (/ 9 (pow x 4)))) x))
(* -1 (/ (- (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6)))) (+ 1 (/ 9 (pow x 4)))) x))
(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)))))
(* 1/6 (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)))))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ 6 x)
(* -1 (/ (- (* 18 (/ 1 (pow x 2))) 6) x))
(* -1 (/ (- (* 18 (/ 1 (pow x 2))) (+ 6 (/ 54 (pow x 4)))) x))
(* -1 (/ (- (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6)))) (+ 6 (/ 54 (pow x 4)))) x))
x
(* -1 (* x (- (* 3 (/ 1 (pow x 2))) 1)))
(* -1 (* x (- (* 3 (/ 1 (pow x 2))) (+ 1 (/ 9 (pow x 4))))))
(* -1 (* x (- (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6)))) (+ 1 (/ 9 (pow x 4))))))
(/ -9 (pow x 2))
(/ (- (* 27 (/ 1 (pow x 2))) 9) (pow x 2))
(/ (- (* 27 (/ 1 (pow x 2))) (+ 9 (/ 81 (pow x 4)))) (pow x 2))
(/ (- (+ (* 27 (/ 1 (pow x 2))) (* 243 (/ 1 (pow x 6)))) (+ 9 (/ 81 (pow x 4)))) (pow x 2))
(/ -3/2 (pow x 2))
(/ (- (* 9/2 (/ 1 (pow x 2))) 3/2) (pow x 2))
(/ (- (* 9/2 (/ 1 (pow x 2))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(/ (- (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6)))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))

Outputs
(* 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 x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 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 x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #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)
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #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))
(* 1/3 x)
(*.f64 #s(literal 1/3 binary64) x)
(* x (+ 1/3 (* -1/9 (pow x 2))))
(.f64 (fma.f64 #s(literal -1/9 binary64) (.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (- (* 1/27 (pow x 2)) 1/9))))
(.f64 (fma.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 x x) #s(literal -1/9 binary64)) (*.f64 x x) #s(literal 1/3 binary64)) x)
(* x (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/27 (* -1/81 (pow x 2)))) 1/9))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/81 binary64) (.f64 x x) #s(literal 1/27 binary64)) (.f64 x x) #s(literal -1/9 binary64)) (.f64 x x) #s(literal 1/3 binary64)) x)
3
#s(literal 3 binary64)
(+ 3 (pow x 2))
(fma.f64 x x #s(literal 3 binary64))
(+ 3 (pow x 2))
(fma.f64 x x #s(literal 3 binary64))
(+ 3 (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 x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* -2/3 (pow x 2))))
(.f64 (fma.f64 #s(literal -2/3 binary64) (.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* 2/9 (pow x 2)) 2/3))))
(.f64 (fma.f64 (fma.f64 #s(literal 2/9 binary64) (.f64 x x) #s(literal -2/3 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2 (* (pow x 2) (- (* (pow x 2) (+ 2/9 (* -2/27 (pow x 2)))) 2/3))))
(.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -2/27 binary64) (.f64 x x) #s(literal 2/9 binary64)) (.f64 x x) #s(literal -2/3 binary64)) (.f64 x x) #s(literal 2 binary64)) x)
(* 1/3 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(* (pow x 3) (+ 1/3 (* -1/9 (pow x 2))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal -1/9 binary64) (.f64 x x) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/3 (* (pow x 2) (- (* 1/27 (pow x 2)) 1/9))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/27 binary64) (.f64 x x) #s(literal -1/9 binary64)) (*.f64 x x) #s(literal 1/3 binary64)))
(* (pow x 3) (+ 1/3 (* (pow x 2) (- (* (pow x 2) (+ 1/27 (* -1/81 (pow x 2)))) 1/9))))
(.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/81 binary64) (.f64 x x) #s(literal 1/27 binary64)) (.f64 x x) #s(literal -1/9 binary64)) (.f64 x x) #s(literal 1/3 binary64)))
-3
#s(literal -3 binary64)
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(- (* (pow x 2) (+ 1 (* -1/3 (pow x 2)))) 3)
(fma.f64 (fma.f64 #s(literal -1/3 binary64) (pow.f64 x #s(literal 3 binary64)) x) x #s(literal -3 binary64))
(- (* (pow x 2) (+ 1 (* (pow x 2) (- (* 1/9 (pow x 2)) 1/3)))) 3)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal -1/3 binary64)) (pow.f64 x #s(literal 3 binary64)) x) x #s(literal -3 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(- (* (pow x 2) (+ 1/6 (* -1/18 (pow x 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -1/18 binary64) (.f64 x x) #s(literal 1/6 binary64)) (.f64 x x) #s(literal -1/2 binary64))
(- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/54 (pow x 2)) 1/18)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/54 binary64) (.f64 x x) #s(literal -1/18 binary64)) (.f64 x x) #s(literal 1/6 binary64)) (*.f64 x 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 (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 x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 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))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #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)
(* 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 x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 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 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (* 3 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) x)
(/ (- (+ 1 (/ 9 (pow x 4))) (* 3 (/ 1 (pow x 2)))) x)
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) x) (/.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 5 binary64))))
(/ (- (+ 1 (/ 9 (pow x 4))) (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6))))) x)
(/.f64 (-.f64 (/.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) x)
(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))
(* 1/6 (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 x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(/ (- 6 (* 18 (/ 1 (pow x 2)))) x)
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) x)
(/ (- (+ 6 (/ 54 (pow x 4))) (* 18 (/ 1 (pow x 2)))) x)
(-.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) x) (/.f64 #s(literal -54 binary64) (pow.f64 x #s(literal 5 binary64))))
(/ (- (+ 6 (/ 54 (pow x 4))) (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 54 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64))) (/.f64 #s(literal 162 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
x
(* x (- 1 (* 3 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 x (*.f64 x x)) #s(literal -3 binary64) x)
(* x (- (+ 1 (/ 9 (pow x 4))) (* 3 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 x x))) x x)
(* x (- (+ 1 (/ 9 (pow x 4))) (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6))))))
(fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (/.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) x x)
(/ -9 (pow x 2))
(/.f64 #s(literal -9 binary64) (*.f64 x x))
(/ (- (* 27 (/ 1 (pow x 2))) 9) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 27 binary64) (*.f64 x x)) #s(literal 9 binary64)) x) x)
(/ (- (* 27 (/ 1 (pow x 2))) (+ 9 (/ 81 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 27 binary64) (.f64 x x)) #s(literal 9 binary64)) (/.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
(/ (- (+ (* 27 (/ 1 (pow x 2))) (* 243 (/ 1 (pow x 6)))) (+ 9 (/ 81 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 243 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 27 binary64) (.f64 x x)) #s(literal 9 binary64)) (/.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))
(/ -3/2 (pow x 2))
(/.f64 #s(literal -3/2 binary64) (*.f64 x x))
(/ (- (* 9/2 (/ 1 (pow x 2))) 3/2) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) x) x)
(/ (- (* 9/2 (/ 1 (pow x 2))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (/.f64 #s(literal 27/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
(/ (- (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6)))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 81/2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (/.f64 #s(literal 27/2 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))
(* 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))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(* 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))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #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)
(* 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 x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 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 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (/ (- (* 3 (/ 1 (pow x 2))) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* 3 (/ 1 (pow x 2))) (+ 1 (/ 9 (pow x 4)))) x))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) x) (/.f64 #s(literal -9 binary64) (pow.f64 x #s(literal 5 binary64))))
(* -1 (/ (- (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6)))) (+ 1 (/ 9 (pow x 4)))) x))
(/.f64 (-.f64 (/.f64 #s(literal -27 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))))) x)
(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))
(* 1/6 (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 x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(* 1/36 (pow x 2))
(.f64 #s(literal 1/36 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(/ 6 x)
(/.f64 #s(literal 6 binary64) x)
(* -1 (/ (- (* 18 (/ 1 (pow x 2))) 6) x))
(/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* 18 (/ 1 (pow x 2))) (+ 6 (/ 54 (pow x 4)))) x))
(-.f64 (/.f64 (-.f64 #s(literal 6 binary64) (/.f64 #s(literal 18 binary64) (*.f64 x x))) x) (/.f64 #s(literal -54 binary64) (pow.f64 x #s(literal 5 binary64))))
(* -1 (/ (- (+ (* 18 (/ 1 (pow x 2))) (* 162 (/ 1 (pow x 6)))) (+ 6 (/ 54 (pow x 4)))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 54 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64))) (/.f64 #s(literal 162 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
x
(* -1 (* x (- (* 3 (/ 1 (pow x 2))) 1)))
(fma.f64 (/.f64 x (*.f64 x x)) #s(literal -3 binary64) x)
(* -1 (* x (- (* 3 (/ 1 (pow x 2))) (+ 1 (/ 9 (pow x 4))))))
(fma.f64 (-.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 x x))) x x)
(* -1 (* x (- (+ (* 3 (/ 1 (pow x 2))) (* 27 (/ 1 (pow x 6)))) (+ 1 (/ 9 (pow x 4))))))
(fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 3 binary64) (*.f64 x x))) (/.f64 #s(literal 27 binary64) (pow.f64 x #s(literal 6 binary64)))) x x)
(/ -9 (pow x 2))
(/.f64 #s(literal -9 binary64) (*.f64 x x))
(/ (- (* 27 (/ 1 (pow x 2))) 9) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 27 binary64) (*.f64 x x)) #s(literal 9 binary64)) x) x)
(/ (- (* 27 (/ 1 (pow x 2))) (+ 9 (/ 81 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 27 binary64) (.f64 x x)) #s(literal 9 binary64)) (/.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
(/ (- (+ (* 27 (/ 1 (pow x 2))) (* 243 (/ 1 (pow x 6)))) (+ 9 (/ 81 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 243 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 27 binary64) (.f64 x x)) #s(literal 9 binary64)) (/.f64 #s(literal 81 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))
(/ -3/2 (pow x 2))
(/.f64 #s(literal -3/2 binary64) (*.f64 x x))
(/ (- (* 9/2 (/ 1 (pow x 2))) 3/2) (pow x 2))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (*.f64 x x)) #s(literal 3/2 binary64)) x) x)
(/ (- (* 9/2 (/ 1 (pow x 2))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (/.f64 #s(literal 27/2 binary64) (pow.f64 x #s(literal 4 binary64)))) (.f64 x x))
(/ (- (+ (* 9/2 (/ 1 (pow x 2))) (* 81/2 (/ 1 (pow x 6)))) (+ 3/2 (/ 27/2 (pow x 4)))) (pow x 2))
(/.f64 (+.f64 (/.f64 #s(literal 81/2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) #s(literal 3/2 binary64)) (/.f64 #s(literal 27/2 binary64) (pow.f64 x #s(literal 4 binary64))))) (.f64 x x))

rewrite222.0ms (4.1%)

Memory

8.2MiB live, 285.8MiB allocated

Rules

5 748×	`lower-/.f32`
5 734×	`lower-/.f64`
4 756×	`lower-fma.f32`
4 752×	`lower-*.f32`
4 748×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	162
0	56	160
1	219	149
2	1558	149
0	8648	145

Stop Event

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

Counts

17 → 574

Calls

Call 1

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

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

eval111.0ms (2.1%)

Memory: 24.5MiB live, 252.1MiB allocated
Compiler: Compiled 18 604 to 2 147 computations (88.5% saved)

prune150.0ms (2.8%)

Memory

-28.1MiB live, 216.0MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	858	2	860
Fresh	0	0	0
Picked	2	2	4
Done	0	5	5
Total	860	9	869

Accuracy

100.0%

Counts

869 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	64.5%	(fma.f64 (.f64 (.f64 (.f64 #s(literal 1/36 binary64) x) x) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64)))
	90.0%	(fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) #s(approx (/ x (+ ( (* x x) 1/6) 1/2)) (/.f64 #s(literal 6 binary64) x)) #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64)))
✓	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
✓	53.8%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
✓	53.8%	#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
✓	53.8%	#s(approx (/ (- (* x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x))
✓	53.8%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	53.8%	#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
✓	46.9%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 263 to 127 computations (51.7% saved)

regimes22.0ms (0.4%)

Memory

11.4MiB live, 49.9MiB 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) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(/.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))))
(fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) #s(approx (/ x (+ ( (* x x) 1/6) 1/2)) (/.f64 #s(literal 6 binary64) x)) #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64)))
(fma.f64 (.f64 (.f64 (.f64 #s(literal 1/36 binary64) x) x) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64)))
(/.f64 (fma.f64 (.f64 (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (.f64 x x)) x (/.f64 #s(literal -9 binary64) (fma.f64 x x #s(literal 3 binary64)))) #s(literal 6 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) #s(literal 6 binary64))

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

Calls

4 calls:

7.0ms	x
5.0ms	(*.f64 x x)
4.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
4.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes10.0ms (0.2%)

Memory

27.0MiB live, 27.0MiB 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) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))

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

Calls

4 calls:

3.0ms	x
2.0ms	(*.f64 x 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 16 to 13 computations (18.8% saved)

regimes11.0ms (0.2%)

Memory

-12.9MiB live, 25.9MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes8.0ms (0.2%)

Memory

-19.8MiB live, 18.9MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

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:

3.0ms	x
2.0ms	(*.f64 x x)
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
99.0%	2	`x`
99.0%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.0%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.0%	2	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes5.0ms (0.1%)

Memory

12.6MiB live, 12.6MiB 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:

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))
1.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
46.9%	1	`x`
46.9%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
46.9%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
46.9%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.8MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.962296276439203e-17	140.40992797966982

Compiler

Compiled 10 to 10 computations (0% saved)

simplify25.0ms (0.5%)

Memory

15.0MiB live, 58.0MiB allocated

Algorithm

1×	egg-herbie

Rules

6×	`-commutative-binary64-.f64`
4×	`+-commutative-binary64-+.f64`
4×	`sub-neg-binary64-neg.f64-+.f64--.f64`
2×	`neg-sub0-binary64--.f64-neg.f64`
2×	`neg-mul-1-binary64-*.f64-neg.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	56
1	25	56
2	30	56
3	32	56
4	33	56

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.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))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(if (<=.f64 (.f64 x x) #s(literal 2028240960365167/40564819207303340847894502572032 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
(/.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))
(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 2028240960365167/40564819207303340847894502572032 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))

soundness571.0ms (10.7%)

Memory

-39.7MiB live, 305.8MiB allocated

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	162
1	43	162
2	98	162
3	236	162
4	759	162
5	1590	162
6	2334	162
7	3514	162
8	4236	162
9	5345	162
10	6402	162
11	7126	162
0	8039	144
0	21	77
0	30	71
1	118	71
2	597	71
3	4922	71
0	8463	71
0	6	15
0	9	15
1	42	15
2	230	15
3	1831	15
0	8685	13

Stop Event

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

Compiler

Compiled 80 to 54 computations (32.5% saved)

preprocess39.0ms (0.7%)

Memory: 7.1MiB live, 83.8MiB allocated
Remove: (abs x)
Compiler: Compiled 126 to 84 computations (33.3% 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%)

sample569.0ms (10.6%)

explain92.0ms (1.7%)

preprocess19.0ms (0.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify4.0ms (0.1%)

localize67.0ms (1.3%)

series3.0ms (0.1%)

simplify253.0ms (4.7%)

rewrite679.0ms (12.7%)

eval66.0ms (1.2%)

prune66.0ms (1.2%)

simplify8.0ms (0.2%)

localize41.0ms (0.8%)

series7.0ms (0.1%)

simplify123.0ms (2.3%)

rewrite160.0ms (3%)

eval108.0ms (2%)

prune65.0ms (1.2%)

simplify209.0ms (3.9%)

localize151.0ms (2.8%)

series19.0ms (0.4%)

simplify236.0ms (4.4%)

rewrite243.0ms (4.5%)

eval202.0ms (3.8%)

prune120.0ms (2.2%)

simplify357.0ms (6.7%)

localize106.0ms (2%)

series15.0ms (0.3%)

simplify188.0ms (3.5%)

rewrite222.0ms (4.1%)

eval111.0ms (2.1%)

prune150.0ms (2.8%)

regimes22.0ms (0.4%)

regimes10.0ms (0.2%)

regimes11.0ms (0.2%)

regimes8.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch0.0ms (0%)

simplify25.0ms (0.5%)

soundness571.0ms (10.7%)

preprocess39.0ms (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