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)

sample598.0ms (13.7%)

Memory

31.2MiB live, 736.3MiB allocated

Samples

375.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 214.0ms

ival-div: 74.0ms (34.6% of total)

ival-mult: 70.0ms (32.7% of total)

ival-sub: 54.0ms (25.3% of total)

exact: 8.0ms (3.7% of total)

ival-true: 6.0ms (2.8% of total)

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

Bogosity

explain101.0ms (2.3%)

Memory

-14.7MiB live, 77.4MiB 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

22.0ms

512×

valid

Compiler

Compiled 47 to 22 computations (53.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 11.0ms

ival-mult: 4.0ms (36.7% of total)

ival-div: 3.0ms (27.5% of total)

ival-sub: 2.0ms (18.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess33.0ms (0.7%)

Memory

-20.8MiB live, 17.9MiB allocated

Algorithm

1×	egg-herbie

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

prune1.0ms (0%)

Memory

1.0MiB live, 1.0MiB 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)

simplify3.0ms (0.1%)

Memory

2.8MiB live, 2.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

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)

localize15.0ms (0.3%)

Memory

21.3MiB live, 21.3MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 (*.f64 x x) #s(literal 3 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.05859375	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Samples

10.0ms

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 (38.7% of total)

ival-mult: 2.0ms (38.7% of total)

ival-sub: 1.0ms (19.3% of total)

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

exact: 0.0ms (0% of total)

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

series31.0ms (0.7%)

Memory

-33.9MiB live, 4.7MiB allocated

Counts

3 → 36

Calls

Call 1

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

Inputs

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

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

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

Outputs
#s(alt -3 (taylor 0 x) (#s(alt (-.f64 (.f64 x x) #s(literal 3 binary64)) (patch (-.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 3) (taylor 0 x) (#s(alt (-.f64 (.f64 x x) #s(literal 3 binary64)) (patch (-.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 3) (taylor 0 x) (#s(alt (-.f64 (.f64 x x) #s(literal 3 binary64)) (patch (-.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (pow x 2) 3) (taylor 0 x) (#s(alt (-.f64 (.f64 x x) #s(literal 3 binary64)) (patch (-.f64 (.f64 x x) #s(literal 3 binary64)) #<representation binary64>) () ())) ())
#s(alt -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
29.0ms	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))

simplify139.0ms (3.2%)

Memory

9.1MiB live, 86.4MiB allocated

Algorithm

1×	egg-herbie

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)

rewrite176.0ms (4%)

Memory

38.9MiB live, 229.3MiB allocated

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)))
(*.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)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)))) (pow.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)) (-.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 27 binary64)))) (pow.f64 (-.f64 (+.f64 #s(literal 9 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 #s(literal -3 binary64) (*.f64 x x))) #s(literal -1 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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(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval65.0ms (1.5%)

Memory: 2.8MiB live, 120.3MiB allocated
Compiler: Compiled 14 583 to 1 649 computations (88.7% saved)

prune72.0ms (1.6%)

Memory

-17.6MiB live, 144.0MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	544	8	552
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	545	8	553

Accuracy

100.0%

Counts

553 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
	99.8%	(fma.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
▶	54.1%	(pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
▶	55.0%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
▶	99.8%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64))
	54.9%	#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
▶	45.8%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 112 to 100 computations (10.7% saved)

simplify12.0ms (0.3%)

Memory

-18.4MiB live, 20.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 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	0	(pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64))
cost-diff	13312	(pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
cost-diff	0	(fma.f64 x x #s(literal -3 binary64))
cost-diff	0	(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64)))
cost-diff	128	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64))
cost-diff	7040	(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 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	#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))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	112
0	37	101
1	53	99
2	68	98
3	86	98
4	117	98
5	148	98
6	185	98
7	200	98
8	224	98
9	253	98
10	268	98
11	288	98
12	292	98
13	293	98
0	293	98

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

localize62.0ms (1.4%)

Memory

35.7MiB live, 112.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.11947250976844201	(pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
accuracy	0.41119316843909726	(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
accuracy	17.080965298239118	(pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64))
accuracy	0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.08203125	(pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64))
accuracy	0.09765625	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64))
accuracy	0.34965227601068605	(/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.05859375	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
accuracy	0.3193559608033629	#s(approx (- (* x x) 3) (*.f64 x x))
accuracy	34.45207028138227	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
accuracy	0.0625	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
accuracy	0.16796875	(*.f64 x #s(literal 1/6 binary64))

Samples

28.0ms	139×	0	valid
20.0ms	117×	0	invalid

Compiler

Compiled 113 to 24 computations (78.8% saved)

Precisions

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

ival-pow: 9.0ms (25.9% of total)

const: 7.0ms (20.1% of total)

ival-mult: 6.0ms (17.2% of total)

ival-div: 5.0ms (14.4% of total)

ival-pow2: 4.0ms (11.5% of total)

ival-add: 2.0ms (5.7% of total)

ival-sub: 1.0ms (2.9% of total)

exact: 1.0ms (2.9% of total)

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

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

series14.0ms (0.3%)

Memory

-17.1MiB live, 23.4MiB allocated

Counts

13 → 156

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

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 (/.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 (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 3 (taylor 0 x) (#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (+ 3 (* -1 (pow x 2))) (taylor 0 x) (#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 x) (#s(alt (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt 1/3 (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* 1/9 (pow x 2))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* (pow x 2) (+ 1/9 (* 1/27 (pow x 2))))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (+ 1/3 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 1/27 (* 1/81 (pow x 2))))))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt -3 (taylor 0 x) (#s(alt (fma.f64 x x #s(literal -3 binary64)) (patch (fma.f64 x x #s(literal -3 binary64)) #<representation binary64>) () ())) ())
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#s(alt (* 1/6 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 (/.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 (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 (pow x 2)) (taylor -inf x) (#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1)) (taylor -inf x) (#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1)) (taylor -inf x) (#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1)) (taylor -inf x) (#s(alt (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64)) (patch (.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ -1 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) (pow x 2))) 1) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 3 (/ 1 (pow x 2))))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) (patch (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -3 binary64)) (patch (fma.f64 x x #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -3 binary64)) (patch (fma.f64 x x #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -3 binary64)) (patch (fma.f64 x x #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1 (* 3 (/ 1 (pow x 2))))) (taylor -inf x) (#s(alt (fma.f64 x x #s(literal -3 binary64)) (patch (fma.f64 x x #s(literal -3 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (pow (sqrt 1/6) 2)) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2))) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2))) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2))) (taylor -inf x) (#s(alt (pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 1/6))) (taylor -inf x) (#s(alt (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (sqrt 1/6) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/6))))))) (taylor -inf x) (#s(alt (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (+ (sqrt 1/6) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/6))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 3))))) (pow x 2)))))) (taylor -inf x) (#s(alt (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (- (+ (sqrt 1/6) (* -1 (/ (+ (* 1/128 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 5)))) (* 1/32 (/ 1 (pow (sqrt 1/6) 3)))) (pow x 4)))) (/ 1/4 (* (pow x 2) (sqrt 1/6)))))) (taylor -inf x) (#s(alt (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) (patch (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 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>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	((+ (* (* x 1/6) x) -1/2) (* x 1/6) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) (pow (/ -1 (+ (* x x) -3)) -1) (* (pow (/ -1 (+ (* x x) -3)) -1) -1/6) (/ -1 (+ (* x x) -3)) (+ (* x x) -3) (pow (pow (/ 6 (+ (* x x) -3)) -1/2) 2) (pow (/ 6 (+ (* x x) -3)) -1/2) (/ 6 (+ (* x x) -3)))
2.0ms	x	@	inf	((+ (* (* x 1/6) x) -1/2) (* x 1/6) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) (pow (/ -1 (+ (* x x) -3)) -1) (* (pow (/ -1 (+ (* x x) -3)) -1) -1/6) (/ -1 (+ (* x x) -3)) (+ (* x x) -3) (pow (pow (/ 6 (+ (* x x) -3)) -1/2) 2) (pow (/ 6 (+ (* x x) -3)) -1/2) (/ 6 (+ (* x x) -3)))
1.0ms	x	@	-inf	((+ (* (* x 1/6) x) -1/2) (* x 1/6) (/ (- (* x x) 3) 6) (/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) (pow (/ -1 (+ (* x x) -3)) -1) (* (pow (/ -1 (+ (* x x) -3)) -1) -1/6) (/ -1 (+ (* x x) -3)) (+ (* x x) -3) (pow (pow (/ 6 (+ (* x x) -3)) -1/2) 2) (pow (/ 6 (+ (* x x) -3)) -1/2) (/ 6 (+ (* x x) -3)))

Time

Variable

Point

Expression

6.0ms

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

2.0ms

inf

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

1.0ms

-inf

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

simplify119.0ms (2.7%)

Memory

18.5MiB live, 174.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	171	1147
1	414	1120
2	1148	1116
3	2976	1099
0	8204	1015

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

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)
-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)
3
(+ 3 (* -1 (pow x 2)))
(+ 3 (* -1 (pow x 2)))
(+ 3 (* -1 (pow x 2)))
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
1/3
(+ 1/3 (* 1/9 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/9 (* 1/27 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 1/27 (* 1/81 (pow x 2)))))))
-3
(- (pow x 2) 3)
(- (pow x 2) 3)
(- (pow x 2) 3)
(* -3 (pow (sqrt 1/6) 2))
(+ (* -3 (pow (sqrt 1/6) 2)) (* (pow x 2) (pow (sqrt 1/6) 2)))
(+ (* -3 (pow (sqrt 1/6) 2)) (* (pow x 2) (pow (sqrt 1/6) 2)))
(+ (* -3 (pow (sqrt 1/6) 2)) (* (pow x 2) (pow (sqrt 1/6) 2)))
(sqrt -1/2)
(+ (sqrt -1/2) (* 1/12 (/ (pow x 2) (sqrt -1/2))))
(+ (sqrt -1/2) (* (pow x 2) (+ (* -1/288 (/ (pow x 2) (pow (sqrt -1/2) 3))) (* 1/12 (/ 1 (sqrt -1/2))))))
(+ (sqrt -1/2) (* (pow x 2) (+ (* (pow x 2) (- (* 1/3456 (/ (pow x 2) (pow (sqrt -1/2) 5))) (* 1/288 (/ 1 (pow (sqrt -1/2) 3))))) (* 1/12 (/ 1 (sqrt -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)
(* 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)))))
(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 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1))
(* 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 (pow x 2))
(* -1 (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 3 (/ 1 (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)))))
(* (pow x 2) (pow (sqrt 1/6) 2))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(* x (sqrt 1/6))
(* x (- (sqrt 1/6) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/6))))))
(* x (+ (sqrt 1/6) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/6))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 3))))) (pow x 2)))))
(* x (- (+ (sqrt 1/6) (* -1 (/ (+ (* 1/128 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 5)))) (* 1/32 (/ 1 (pow (sqrt 1/6) 3)))) (pow x 4)))) (/ 1/4 (* (pow x 2) (sqrt 1/6)))))
(/ 6 (pow x 2))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(* 1/6 (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)))))
(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 (pow x 2))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1))
(* 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 (pow x 2))
(* -1 (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 3 (/ 1 (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)))))
(* (pow x 2) (pow (sqrt 1/6) 2))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(* -1 (* x (sqrt 1/6)))
(* -1 (* x (- (sqrt 1/6) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/6)))))))
(* -1 (* x (+ (sqrt 1/6) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/6))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 3))))) (pow x 2))))))
(* -1 (* x (- (+ (sqrt 1/6) (* -1 (/ (+ (* 1/128 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 5)))) (* 1/32 (/ 1 (pow (sqrt 1/6) 3)))) (pow x 4)))) (/ 1/4 (* (pow x 2) (sqrt 1/6))))))
(/ 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))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
-1/2
#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))
-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)
3
#s(literal 3 binary64)
(+ 3 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 3 binary64))
(+ 3 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 3 binary64))
(+ 3 (* -1 (pow x 2)))
(fma.f64 (neg.f64 x) x #s(literal 3 binary64))
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/9 (pow x 2)))
(fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/9 (* 1/27 (pow x 2)))))
(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))
(+ 1/3 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 1/27 (* 1/81 (pow x 2)))))))
(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) 3)
(fma.f64 x x #s(literal -3 binary64))
(- (pow x 2) 3)
(fma.f64 x x #s(literal -3 binary64))
(* -3 (pow (sqrt 1/6) 2))
#s(literal -1/2 binary64)
(+ (* -3 (pow (sqrt 1/6) 2)) (* (pow x 2) (pow (sqrt 1/6) 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(+ (* -3 (pow (sqrt 1/6) 2)) (* (pow x 2) (pow (sqrt 1/6) 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(+ (* -3 (pow (sqrt 1/6) 2)) (* (pow x 2) (pow (sqrt 1/6) 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(sqrt -1/2)
(sqrt.f64 #s(literal -1/2 binary64))
(+ (sqrt -1/2) (* 1/12 (/ (pow x 2) (sqrt -1/2))))
(fma.f64 (*.f64 #s(literal 1/12 binary64) x) (/.f64 x (sqrt.f64 #s(literal -1/2 binary64))) (sqrt.f64 #s(literal -1/2 binary64)))
(+ (sqrt -1/2) (* (pow x 2) (+ (* -1/288 (/ (pow x 2) (pow (sqrt -1/2) 3))) (* 1/12 (/ 1 (sqrt -1/2))))))
(fma.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal -1/2 binary64))) x) (fma.f64 (.f64 x x) #s(literal 1/144 binary64) #s(literal 1/12 binary64)) (sqrt.f64 #s(literal -1/2 binary64)))
(+ (sqrt -1/2) (* (pow x 2) (+ (* (pow x 2) (- (* 1/3456 (/ (pow x 2) (pow (sqrt -1/2) 5))) (* 1/288 (/ 1 (pow (sqrt -1/2) 3))))) (* 1/12 (/ 1 (sqrt -1/2))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal 1/3456 binary64) x) (/.f64 x (pow.f64 (sqrt.f64 #s(literal -1/2 binary64)) #s(literal 5 binary64))) (/.f64 #s(literal 1/144 binary64) (sqrt.f64 #s(literal -1/2 binary64)))) (.f64 x x) (/.f64 #s(literal 1/12 binary64) (sqrt.f64 #s(literal -1/2 binary64)))) (*.f64 x x) (sqrt.f64 #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))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(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 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1))
(fma.f64 (neg.f64 x) x #s(literal 3 binary64))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1))
(fma.f64 (neg.f64 x) x #s(literal 3 binary64))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1))
(fma.f64 (neg.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))
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(* -1 (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x)
(/ (- (* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) (pow x 2))) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 3 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 27 binary64) (.f64 x x)) #s(literal 9 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))
(* (pow x 2) (pow (sqrt 1/6) 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* x (sqrt 1/6))
(*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x)
(* x (- (sqrt 1/6) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/6))))))
(-.f64 (*.f64 (sqrt.f64 #s(literal 1/6 binary64)) x) (/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/6 binary64))) x))
(* x (+ (sqrt 1/6) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/6))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 3))))) (pow x 2)))))
(fma.f64 (sqrt.f64 #s(literal 1/6 binary64)) x (/.f64 (-.f64 (/.f64 #s(literal -3/16 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x) x)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/6 binary64)))) x))
(* x (- (+ (sqrt 1/6) (* -1 (/ (+ (* 1/128 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 5)))) (* 1/32 (/ 1 (pow (sqrt 1/6) 3)))) (pow x 4)))) (/ 1/4 (* (pow x 2) (sqrt 1/6)))))
(fma.f64 (-.f64 (sqrt.f64 #s(literal 1/6 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/6 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 (sqrt.f64 #s(literal 1/6 binary64)) #s(literal 5 binary64))) x) x)) (pow.f64 x #s(literal 4 binary64)))) x (neg.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/6 binary64))) x)))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.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 (/.f64 #s(literal 54 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64)) (/.f64 #s(literal 18 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.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))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 x)
(*.f64 #s(literal 1/6 binary64) x)
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(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 (pow x 2))
(*.f64 (neg.f64 x) x)
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1))
(fma.f64 (neg.f64 x) x #s(literal 3 binary64))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1))
(fma.f64 (neg.f64 x) x #s(literal 3 binary64))
(* (pow x 2) (- (* 3 (/ 1 (pow x 2))) 1))
(fma.f64 (neg.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))
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(* -1 (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal -3 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) x)
(/ (- (* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) (pow x 2))) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (/.f64 #s(literal 9 binary64) (*.f64 x x)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) x)
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 3 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal -3 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (+.f64 (/.f64 #s(literal 27 binary64) (.f64 x x)) #s(literal 9 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))
(* (pow x 2) (pow (sqrt 1/6) 2))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* -1 (* x (sqrt 1/6)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/6 binary64)))
(* -1 (* x (- (sqrt 1/6) (* 1/4 (/ 1 (* (pow x 2) (sqrt 1/6)))))))
(fma.f64 (neg.f64 x) (sqrt.f64 #s(literal 1/6 binary64)) (/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/6 binary64))) x))
(* -1 (* x (+ (sqrt 1/6) (* -1 (/ (+ (* 1/4 (/ 1 (sqrt 1/6))) (* 1/32 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 3))))) (pow x 2))))))
(neg.f64 (fma.f64 (sqrt.f64 #s(literal 1/6 binary64)) x (/.f64 (-.f64 (/.f64 #s(literal -3/16 binary64) (.f64 (.f64 (sqrt.f64 #s(literal 1/6 binary64)) x) x)) (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/6 binary64)))) x)))
(* -1 (* x (- (+ (sqrt 1/6) (* -1 (/ (+ (* 1/128 (/ 1 (* (pow x 2) (pow (sqrt 1/6) 5)))) (* 1/32 (/ 1 (pow (sqrt 1/6) 3)))) (pow x 4)))) (/ 1/4 (* (pow x 2) (sqrt 1/6))))))
(fma.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 3/16 binary64) (sqrt.f64 #s(literal 1/6 binary64))) (/.f64 (/.f64 (/.f64 #s(literal 1/128 binary64) (pow.f64 (sqrt.f64 #s(literal 1/6 binary64)) #s(literal 5 binary64))) x) x)) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 #s(literal 1/6 binary64))) x (/.f64 (/.f64 #s(literal 1/4 binary64) (sqrt.f64 #s(literal 1/6 binary64))) x))
(/ 6 (pow x 2))
(/.f64 #s(literal 6 binary64) (*.f64 x x))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/.f64 (/.f64 (+.f64 (/.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 (/.f64 #s(literal 54 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 6 binary64)) (/.f64 #s(literal 18 binary64) (.f64 x x))) (.f64 x x))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(/.f64 (+.f64 (+.f64 (/.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))

rewrite161.0ms (3.7%)

Memory

-17.7MiB live, 254.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	93
0	37	82
1	140	79
2	694	79
3	5697	79
0	8279	79

Stop Event

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

Counts

13 → 1 148

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

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

eval198.0ms (4.5%)

Memory: -0.0MiB live, 355.2MiB allocated
Compiler: Compiled 25 716 to 2 761 computations (89.3% saved)

prune100.0ms (2.3%)

Memory

22.2MiB live, 220.2MiB allocated

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1 415	4	1 419
Fresh	3	0	3
Picked	2	3	5
Done	0	0	0
Total	1 420	7	1 427

Accuracy

100.0%

Counts

1 427 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
▶	70.6%	(fma.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x 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))
✓	55.0%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	54.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (- (* x x) 3) (*.f64 x x))))
▶	54.9%	(.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 1/6 binary64))
✓	45.8%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 59 to 45 computations (23.7% saved)

simplify135.0ms (3.1%)

Memory

3.6MiB live, 42.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
cost-diff	384	(/.f64 x #s(literal 6 binary64))
cost-diff	0	(.f64 #s(literal 1/36 binary64) (.f64 x x))
cost-diff	0	(/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
cost-diff	0	(*.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	0	(*.f64 x x)
cost-diff	0	#s(approx (- (* x x) 3) (*.f64 x x))
cost-diff	0	(/.f64 #s(literal 6 binary64) #s(approx (- (* x x) 3) (*.f64 x x)))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (- (* x x) 3) (*.f64 x x))))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (* x x) 3) (*.f64 x x))
cost-diff	0	(.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 1/6 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	157
0	43	153
1	81	153
2	126	153
3	227	152
4	570	150
5	1554	150
6	3082	150
7	3739	150
8	3865	150
9	3912	150
10	3936	150
11	3984	150
12	4077	150
13	4108	150
14	4108	150
15	4108	150
16	4250	150
17	5017	150
0	5017	144

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize82.0ms (1.9%)

Memory

3.4MiB live, 90.2MiB allocated

Localize:

Found 13 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 x #s(literal 6 binary64))
accuracy	0.0625	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
accuracy	0.09765625	(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
accuracy	0.16796875	(.f64 #s(literal 1/36 binary64) (.f64 x x))
accuracy	0.33306980531600844	(/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
accuracy	18.26693005128342	(/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.06640625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (- (* x x) 3) (*.f64 x x))))
accuracy	0.41119316843909726	(/.f64 #s(literal 6 binary64) #s(approx (- (* x x) 3) (*.f64 x x)))
accuracy	28.763349566659464	#s(approx (- (* x x) 3) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0.1015625	(.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 1/6 binary64))
accuracy	28.763349566659464	#s(approx (- (* x x) 3) (*.f64 x x))

Samples

63.0ms

256×

valid

Compiler

Compiled 148 to 30 computations (79.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

const: 16.0ms (37.7% of total)

ival-mult: 10.0ms (23.6% of total)

ival-div: 8.0ms (18.9% of total)

ival-add: 4.0ms (9.4% of total)

ival-sub: 1.0ms (2.4% of total)

exact: 1.0ms (2.4% of total)

ival-neg: 1.0ms (2.4% of total)

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

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

series15.0ms (0.3%)

Memory

-22.9MiB live, 13.6MiB allocated

Counts

12 → 144

Calls

Call 1

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

Outputs
#s(alt -1/2 (taylor 0 x) (#s(alt (.f64 #s(approx (- ( x x) 3) (.f64 x x)) #s(literal 1/6 binary64)) (patch (.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 1/6 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 1/6 binary64)) (patch (.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 1/6 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 1/6 binary64)) (patch (.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 1/6 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 1/6 binary64)) (patch (.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 1/6 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 (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(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>) () ())) ())
#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>) () ())) ())
#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>) () ())) ())
#s(alt -2 (taylor 0 x) (#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 (- (* -2/3 (pow x 2)) 2) (taylor 0 x) (#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 (- (* (pow x 2) (- (* -2/9 (pow x 2)) 2/3)) 2) (taylor 0 x) (#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 (- (* (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) #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 -1/2 (taylor 0 x) (#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 (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#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 (- (* (pow x 2) (+ 1/6 (* -1/18 (pow x 2)))) 1/2) (taylor 0 x) (#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 (- (* (pow x 2) (+ 1/6 (* (pow x 2) (- (* 1/54 (pow x 2)) 1/18)))) 1/2) (taylor 0 x) (#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 (* 1/18 (pow x 2)) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (patch (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/18 (* -1/54 (pow x 2)))) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (patch (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54)))) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (patch (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (+ 1/18 (* (pow x 2) (- (* (pow x 2) (+ 1/162 (* -1/486 (pow x 2)))) 1/54)))) (taylor 0 x) (#s(alt (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (patch (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* 1/36 (pow x 2)) (taylor 0 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 0 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 0 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 0 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 (* 1/6 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 (/.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 (+ 1/2 (* -1/6 (pow x 2))) (taylor 0 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 (+ 1/2 (* (pow x 2) (- (* 1/18 (pow x 2)) 1/6))) (taylor 0 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 (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/18 (* -1/54 (pow x 2)))) 1/6))) (taylor 0 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 -1/2 (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (- (* -1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 1/6 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(approx (- ( x x) 3) (.f64 x x)) #s(literal 1/6 binary64)) (patch (.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 #s(approx (- ( x x) 3) (.f64 x x)) #s(literal 1/6 binary64)) (patch (.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 #s(approx (- ( x x) 3) (.f64 x x)) #s(literal 1/6 binary64)) (patch (.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 1/6 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2))))) (taylor inf x) (#s(alt (.f64 #s(approx (- ( x x) 3) (.f64 x x)) #s(literal 1/6 binary64)) (patch (.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 1/6 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 (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(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 (* (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) #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 (* (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) #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 (* (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) #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 (/ 6 (pow x 2)) (taylor inf x) (#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 (/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2)) (taylor inf x) (#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 (/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2)) (taylor inf x) (#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>) () ())) ())
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#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 (* -1/6 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2)))))) (taylor -inf x) (#s(alt (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)) (patch (fma.f64 #s(literal -1/6 binary64) (.f64 x x) #s(literal -1/2 binary64)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

8.0ms

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

2.0ms

inf

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

1.0ms

-inf

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

simplify151.0ms (3.5%)

Memory

17.6MiB live, 205.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	137	1072
1	328	1072
2	848	1072
3	2048	1072
4	4944	1072
0	8190	1003

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

Inputs
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
-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)
-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)
-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)
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* -1/54 (pow x 2))))
(* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54))))
(* (pow x 2) (+ 1/18 (* (pow x 2) (- (* (pow x 2) (+ 1/162 (* -1/486 (pow x 2)))) 1/54))))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (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)
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)))
-1/2
(- (* -1/6 (pow x 2)) 1/2)
(- (* -1/6 (pow x 2)) 1/2)
(- (* -1/6 (pow x 2)) 1/2)
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(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)))))
(/ 6 (pow x 2))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(/ -3/2 (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
(- 1/6 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6)))))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (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)))))
(/ 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))
(* -1/6 (pow x 2))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(* 1/6 (pow x 2))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(* (pow x 2) (- 1/6 (* 1/2 (/ 1 (pow x 2)))))
(pow x 2)
(* (pow x 2) (- 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)))))
(/ 6 (pow x 2))
(/ (+ 6 (* 18 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (/ 54 (pow x 4)))) (pow x 2))
(/ (+ 6 (+ (* 18 (/ 1 (pow x 2))) (+ (* 162 (/ 1 (pow x 6))) (/ 54 (pow x 4))))) (pow x 2))
(/ -3/2 (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
(- 1/6 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6)))))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (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)))))
(/ 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))
(* -1/6 (pow x 2))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))

Outputs
-1/2
#s(literal -1/2 binary64)
(- (* 1/6 (pow x 2)) 1/2)
(fma.f64 (*.f64 x 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))
(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))
-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))
-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))
(* 1/18 (pow x 2))
(.f64 #s(literal 1/18 binary64) (.f64 x x))
(* (pow x 2) (+ 1/18 (* -1/54 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/54 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x)
(* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/162 binary64) (.f64 x x) #s(literal -1/54 binary64)) (.f64 x x) #s(literal 1/18 binary64)) x) x)
(* (pow x 2) (+ 1/18 (* (pow x 2) (- (* (pow x 2) (+ 1/162 (* -1/486 (pow x 2)))) 1/54))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/486 binary64) (.f64 x x) #s(literal 1/162 binary64)) (.f64 x x) #s(literal -1/54 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) 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 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)
(+ 1/2 (* -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))
-1/2
#s(literal -1/2 binary64)
(- (* -1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* -1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* -1/6 (pow x 2)) 1/2)
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.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))
(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))
(/ 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))
(/ -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 #s(literal -27/2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -81/2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) #s(literal 3/2 binary64))) (.f64 x x)))
1/6
#s(literal 1/6 binary64)
(- 1/6 (* 1/2 (/ 1 (pow x 2))))
(-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6)))))
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 9/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 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))
(* 1/6 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))
(/ 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 (/.f64 #s(literal -81/2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) #s(literal 3/2 binary64))) (.f64 x x)) (/.f64 #s(literal -27/2 binary64) (pow.f64 x #s(literal 6 binary64))))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* 1/6 (pow x 2))
(.f64 (.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))
(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))
(/ 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))
(/ -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 #s(literal -27/2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (-.f64 (/.f64 #s(literal -81/2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) #s(literal 3/2 binary64))) (.f64 x x)))
1/6
#s(literal 1/6 binary64)
(- 1/6 (* 1/2 (/ 1 (pow x 2))))
(-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6)))))
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 9/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 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))
(* 1/6 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))
(/ 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 (/.f64 #s(literal -81/2 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 9/2 binary64) (.f64 x x)) #s(literal 3/2 binary64))) (.f64 x x)) (/.f64 #s(literal -27/2 binary64) (pow.f64 x #s(literal 6 binary64))))
(* -1/6 (pow x 2))
(.f64 #s(literal -1/6 binary64) (.f64 x x))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* -1 (* (pow x 2) (+ 1/6 (* 1/2 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(* -1 (* (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))

rewrite152.0ms (3.5%)

Memory

10.0MiB live, 201.6MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	96
0	40	93
1	160	93
2	920	93
0	8538	89

Stop Event

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

Counts

12 → 757

Calls

Call 1

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

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

eval175.0ms (4%)

Memory: 6.6MiB live, 247.7MiB allocated
Compiler: Compiled 26 352 to 2 573 computations (90.2% saved)

prune112.0ms (2.6%)

Memory

-23.1MiB live, 219.1MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	1 014	2	1 016
Fresh	0	0	0
Picked	1	3	4
Done	0	3	3
Total	1 015	8	1 023

Accuracy

100.0%

Counts

1 023 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
▶	69.7%	(fma.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x 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))
✓	55.0%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
✓	54.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (- (* x x) 3) (*.f64 x x))))
▶	54.9%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) #s(approx (- ( x x) 3) (*.f64 x x))) #s(literal -6 binary64)))
✓	54.9%	(.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 1/6 binary64))
✓	45.8%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 62 to 50 computations (19.4% saved)

simplify131.0ms (3%)

Memory

20.6MiB live, 63.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
cost-diff	0	(.f64 #s(literal 1/36 binary64) (.f64 x x))
cost-diff	0	(/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x 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	#s(approx (- (* x x) 3) (*.f64 x x))
cost-diff	0	(/.f64 #s(literal -1 binary64) #s(approx (- (* x x) 3) (*.f64 x x)))
cost-diff	320	(.f64 (/.f64 #s(literal -1 binary64) #s(approx (- ( x x) 3) (*.f64 x x))) #s(literal -6 binary64))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) #s(approx (- ( x x) 3) (*.f64 x x))) #s(literal -6 binary64)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	126
0	38	120
1	75	118
2	123	116
3	207	115
4	390	113
5	814	113
6	1329	113
7	1548	113
8	1740	113
9	1946	113
10	2029	113
11	2196	113
12	2637	113
13	3087	113
14	3226	113
15	3255	113
16	3264	113
17	3269	113
18	3325	113
19	3336	113
20	3336	113
21	3336	113
22	3342	113
0	3342	108

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize62.0ms (1.4%)

Memory

-22.9MiB live, 94.1MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.09765625	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
accuracy	0.16796875	(.f64 #s(literal 1/36 binary64) (.f64 x x))
accuracy	18.26693005128342	(/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))
accuracy	33.53461333973137	#s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64))
accuracy	0.06640625	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) #s(approx (- ( x x) 3) (*.f64 x x))) #s(literal -6 binary64)))
accuracy	0.07488251953688403	(.f64 (/.f64 #s(literal -1 binary64) #s(approx (- ( x x) 3) (*.f64 x x))) #s(literal -6 binary64))
accuracy	0.35355852601068605	(/.f64 #s(literal -1 binary64) #s(approx (- (* x x) 3) (*.f64 x x)))
accuracy	28.763349566659464	#s(approx (- (* x x) 3) (*.f64 x x))

Samples

47.0ms

256×

valid

Compiler

Compiled 112 to 28 computations (75% saved)

Precisions

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

const: 13.0ms (36.6% of total)

ival-mult: 9.0ms (25.4% of total)

ival-div: 6.0ms (16.9% of total)

ival-add: 3.0ms (8.5% of total)

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

exact: 1.0ms (2.8% of total)

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

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

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

series6.0ms (0.1%)

Memory

10.2MiB live, 10.2MiB allocated

Counts

9 → 108

Calls

Call 1

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

1.0ms

inf

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

1.0ms

-inf

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

1.0ms

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

simplify328.0ms (7.5%)

Memory

-3.7MiB live, 150.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	153	894
1	371	892
2	948	888
3	2193	888
4	4578	888
0	8163	837

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 108

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)
-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)
1/3
(+ 1/3 (* 1/9 (pow x 2)))
(+ 1/3 (* (pow x 2) (+ 1/9 (* 1/27 (pow x 2)))))
(+ 1/3 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 1/27 (* 1/81 (pow x 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)
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* -1/54 (pow x 2))))
(* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54))))
(* (pow x 2) (+ 1/18 (* (pow x 2) (- (* (pow x 2) (+ 1/162 (* -1/486 (pow x 2)))) 1/54))))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (pow x 2))
(* 1/36 (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)) 1/2)
(- (* (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 (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))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 3 (/ 1 (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)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/6
(- 1/6 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6)))))
(* 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)))))
(/ -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 (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))
(/ -1 (pow x 2))
(* -1 (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)))
(/ (- (* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) (pow x 2))) 1) (pow x 2))
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 3 (/ 1 (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)))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1/6
(- 1/6 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6)))))
(* 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)))))
(/ -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
-1/2
#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))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/9 (pow x 2)))
(fma.f64 #s(literal 1/9 binary64) (*.f64 x x) #s(literal 1/3 binary64))
(+ 1/3 (* (pow x 2) (+ 1/9 (* 1/27 (pow x 2)))))
(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))
(+ 1/3 (* (pow x 2) (+ 1/9 (* (pow x 2) (+ 1/27 (* 1/81 (pow x 2)))))))
(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) 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)
(* 1/18 (pow x 2))
(.f64 #s(literal 1/18 binary64) (.f64 x x))
(* (pow x 2) (+ 1/18 (* -1/54 (pow x 2))))
(.f64 (.f64 (fma.f64 #s(literal -1/54 binary64) (*.f64 x x) #s(literal 1/18 binary64)) x) x)
(* (pow x 2) (+ 1/18 (* (pow x 2) (- (* 1/162 (pow x 2)) 1/54))))
(.f64 (.f64 (fma.f64 (fma.f64 #s(literal 1/162 binary64) (.f64 x x) #s(literal -1/54 binary64)) (.f64 x x) #s(literal 1/18 binary64)) x) x)
(* (pow x 2) (+ 1/18 (* (pow x 2) (- (* (pow x 2) (+ 1/162 (* -1/486 (pow x 2)))) 1/54))))
(.f64 (.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/486 binary64) (.f64 x x) #s(literal 1/162 binary64)) (.f64 x x) #s(literal -1/54 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) 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))
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))
(+ 1/2 (* 1/6 (pow x 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))
(* 1/6 (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))) (+.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))
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(* -1 (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) (pow x 2))) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 3 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) (.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 27 binary64) (.f64 x x)) #s(literal 9 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))
(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
#s(literal 1/6 binary64)
(- 1/6 (* 1/2 (/ 1 (pow x 2))))
(-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6)))))
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 9/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 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))
(* 1/6 (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 #s(literal -27/2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 9/2 binary64) (.f64 x x))) (/.f64 #s(literal 81/2 binary64) (pow.f64 x #s(literal 6 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))
(/ 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))
(/ -1 (pow x 2))
(/.f64 (/.f64 #s(literal -1 binary64) x) x)
(* -1 (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)))
(/.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) (*.f64 x x))) x) x)
(/ (- (* -1 (/ (+ 3 (* 9 (/ 1 (pow x 2)))) (pow x 2))) 1) (pow x 2))
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -3 binary64) (/.f64 #s(literal 9 binary64) (*.f64 x x))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) x)) x)
(/ (- (* -1 (/ (+ 9 (* 27 (/ 1 (pow x 2)))) (pow x 4))) (+ 1 (* 3 (/ 1 (pow x 2))))) (pow x 2))
(/.f64 (-.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 3 binary64) (.f64 x x))) (/.f64 (+.f64 (/.f64 #s(literal 27 binary64) (.f64 x x)) #s(literal 9 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))
(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
#s(literal 1/6 binary64)
(- 1/6 (* 1/2 (/ 1 (pow x 2))))
(-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(- (+ 1/6 (/ 3/2 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1/6 binary64)))
(- (+ 1/6 (/ 3/2 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 9/2 (/ 1 (pow x 6)))))
(-.f64 (-.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 9/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 4 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))
(* 1/6 (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 #s(literal -27/2 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (-.f64 (-.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 9/2 binary64) (.f64 x x))) (/.f64 #s(literal 81/2 binary64) (pow.f64 x #s(literal 6 binary64)))) (.f64 x x)))

rewrite194.0ms (4.5%)

Memory

14.1MiB live, 138.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	86
0	35	81
1	134	79
2	800	78
3	5907	78
0	8165	74

Stop Event

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

Counts

9 → 373

Calls

Call 1

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

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

eval110.0ms (2.5%)

Memory: 1.6MiB live, 119.8MiB allocated
Compiler: Compiled 11 628 to 1 568 computations (86.5% saved)

prune73.0ms (1.7%)

Memory

25.8MiB live, 100.8MiB allocated

Pruning

8 alts after pruning (1 fresh and 7 done)

	Pruned	Kept	Total
New	543	1	544
Fresh	0	0	0
Picked	1	1	2
Done	0	6	6
Total	544	8	552

Accuracy

100.0%

Counts

552 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
	46.7%	(fma.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) #s(approx (+ ( (* x x) 1/6) 1/2) (.f64 (.f64 x x) #s(literal 1/6 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))
✓	55.0%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
✓	54.9%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (- (* x x) 3) (*.f64 x x))))
✓	54.9%	(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) #s(approx (- ( x x) 3) (*.f64 x x))) #s(literal -6 binary64)))
✓	54.9%	(.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 1/6 binary64))
✓	45.8%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 216 to 107 computations (50.5% saved)

regimes26.0ms (0.6%)

Memory

-12.4MiB live, 37.5MiB allocated

Counts

16 → 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)))
(.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(/.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))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (- (* x x) 3) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 #s(literal -1 binary64) #s(approx (- ( x x) 3) (*.f64 x x))) #s(literal -6 binary64)))
(fma.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) #s(approx (+ ( (* x x) 1/6) 1/2) (.f64 (.f64 x x) #s(literal 1/6 binary64)))) #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64)))
(fma.f64 (.f64 x x) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x 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 x x) (/.f64 (.f64 #s(literal 1/36 binary64) (.f64 x 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 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64))
(fma.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1/2 binary64)) #s(literal 2 binary64))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
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)

regimes12.0ms (0.3%)

Memory

-20.1MiB live, 17.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

5.0ms	(*.f64 x x)
2.0ms	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)

regimes9.0ms (0.2%)

Memory

17.4MiB live, 17.4MiB allocated

Counts

5 → 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)))
(.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(/.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:

2.0ms	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)

regimes9.0ms (0.2%)

Memory

-21.2MiB live, 15.6MiB 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)))
(.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 1/6 binary64))

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

Calls

4 calls:

4.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
2.0ms	x
2.0ms	(*.f64 x x)
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

12.5MiB live, 12.5MiB 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 x x)
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
45.8%	1	`x`
45.8%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
45.8%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
45.8%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch8.0ms (0.2%)

Memory

15.0MiB live, 15.0MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
7.0ms	0.25900698526485905	12.102179651751673

Samples

3.0ms

112×

valid

Compiler

Compiled 52 to 73 computations (-40.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 1.0ms (65.6% of total)

ival-div: 1.0ms (65.6% of total)

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

exact: 0.0ms (0% of total)

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

simplify25.0ms (0.6%)

Memory

-37.5MiB live, 47.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	56
1	24	56
2	29	56
3	31	56
4	32	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 3 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 3 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))

soundness608.0ms (13.9%)

Memory

-6.4MiB live, 333.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
0	9	15
1	42	15
2	230	15
3	1831	15
0	8685	13
0	25	93
0	37	82
1	140	79
2	694	79
3	5697	79
0	8279	79
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×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit

Compiler

Compiled 80 to 53 computations (33.8% saved)

preprocess36.0ms (0.8%)

Memory: -1.8MiB live, 71.7MiB allocated
Remove: (abs x)
Compiler: Compiled 126 to 82 computations (34.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

Iter	Nodes	Cost
0	25	112
0	37	101
1	53	99
2	68	98
3	86	98
4	117	98
5	148	98
6	185	98
7	200	98
8	224	98
9	253	98
10	268	98
11	288	98
12	292	98
13	293	98
0	293	98

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	25	112
0	37	101
1	53	99
2	68	98
3	86	98
4	117	98
5	148	98
6	185	98
7	200	98
8	224	98
9	253	98
10	268	98
11	288	98
12	292	98
13	293	98
0	293	98

start0.0ms (0%)

analyze0.0ms (0%)

sample598.0ms (13.7%)

explain101.0ms (2.3%)

preprocess33.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0.1%)

localize15.0ms (0.3%)

series31.0ms (0.7%)

simplify139.0ms (3.2%)

rewrite176.0ms (4%)

eval65.0ms (1.5%)

prune72.0ms (1.6%)

simplify12.0ms (0.3%)

localize62.0ms (1.4%)

series14.0ms (0.3%)

simplify119.0ms (2.7%)

rewrite161.0ms (3.7%)

eval198.0ms (4.5%)

prune100.0ms (2.3%)

simplify135.0ms (3.1%)

localize82.0ms (1.9%)

series15.0ms (0.3%)

simplify151.0ms (3.5%)

rewrite152.0ms (3.5%)

eval175.0ms (4%)

prune112.0ms (2.6%)

simplify131.0ms (3%)

localize62.0ms (1.4%)

series6.0ms (0.1%)

simplify328.0ms (7.5%)

rewrite194.0ms (4.5%)

eval110.0ms (2.5%)

prune73.0ms (1.7%)

regimes26.0ms (0.6%)

regimes12.0ms (0.3%)

regimes9.0ms (0.2%)

regimes9.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch8.0ms (0.2%)

simplify25.0ms (0.6%)

soundness608.0ms (13.9%)

preprocess36.0ms (0.8%)

end0.0ms (0%)

Profiling

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

Iter	Nodes	Cost
0	25	112
0	37	101
1	53	99
2	68	98
3	86	98
4	117	98
5	148	98
6	185	98
7	200	98
8	224	98
9	253	98
10	268	98
11	288	98
12	292	98
13	293	98
0	293	98