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

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB 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)

sample706.0ms (18.2%)

Memory

-11.4MiB live, 533.6MiB allocated

Samples

403.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 269.0ms

ival-mult: 154.0ms (57.2% of total)

ival-div: 60.0ms (22.3% of total)

ival-sub: 38.0ms (14.1% of total)

exact: 8.0ms (3% of total)

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

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

Bogosity

explain135.0ms (3.5%)

Memory

10.5MiB live, 56.4MiB 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 (36.3% of total)

ival-div: 3.0ms (27.2% of total)

ival-sub: 2.0ms (18.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess19.0ms (0.5%)

Memory

11.9MiB live, 11.9MiB 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)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB 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)

simplify87.0ms (2.2%)

Memory

-36.5MiB live, 2.0MiB 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)

localize16.0ms (0.4%)

Memory

12.1MiB live, 12.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.00390625	(-.f64 (*.f64 x x) #s(literal 3 binary64))
accuracy	0.0703125	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Samples

11.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 2.0ms (37.6% of total)

ival-mult: 2.0ms (37.6% of total)

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

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

exact: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Memory

2.3MiB live, 2.3MiB allocated

Counts

3 → 36

Calls

Call 1

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

Inputs

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

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

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

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

Calls

3 calls:

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

simplify156.0ms (4%)

Memory

17.4MiB live, 55.5MiB 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)

rewrite222.0ms (5.7%)

Memory

-12.1MiB live, 105.2MiB 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
#<batchref>
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eval130.0ms (3.4%)

Memory: 9.6MiB live, 129.8MiB allocated
Compiler: Compiled 14 583 to 1 649 computations (88.7% saved)

prune22.0ms (0.6%)

Memory

-16.3MiB live, 59.8MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	541	11	552
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	542	11	553

Accuracy

100.0%

Counts

553 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
▶	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))
	67.3%	(/.f64 (fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) #s(literal 6 binary64))
▶	99.9%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
	62.4%	(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
▶	52.0%	(/.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 #s(literal 1/6 binary64) (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1 binary64)))
	52.0%	#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
▶	48.6%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 174 to 142 computations (18.4% saved)

simplify4.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x x #s(literal -3 binary64))
cost-diff	0	(pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1 binary64))
cost-diff	6848	(/.f64 #s(literal 1/6 binary64) (pow.f64 (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	(*.f64 x #s(literal 1/6 binary64))
cost-diff	0	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
cost-diff	0	(fma.f64 x x #s(literal -3 binary64))
cost-diff	0	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	82
0	29	77
1	42	77
2	52	77
3	57	77
0	57	77

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize47.0ms (1.2%)

Memory

20.2MiB live, 101.3MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.11166000976844202	(/.f64 #s(literal 1/6 binary64) (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1 binary64)))
accuracy	0.24135767763212554	(pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.0703125	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
accuracy	30.652306226179995	#s(approx (- (* x x) 3) (*.f64 x x))
accuracy	0.05859375	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
accuracy	0.3359375	(*.f64 x #s(literal 1/6 binary64))
accuracy	32.86941388961603	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
accuracy	0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.0703125	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))

Samples

34.0ms

256×

valid

Compiler

Compiled 80 to 19 computations (76.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 23.0ms

ival-div: 6.0ms (26.3% of total)

ival-mult: 5.0ms (21.9% of total)

const: 4.0ms (17.5% of total)

ival-pow: 4.0ms (17.5% of total)

ival-add: 2.0ms (8.8% of total)

ival-sub: 2.0ms (8.8% of total)

exact: 1.0ms (4.4% of total)

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

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

series8.0ms (0.2%)

Memory

-19.3MiB live, 18.4MiB allocated

Counts

10 → 120

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	((/ (+ (* x x) -3) 6) (+ (* x x) -3) (/ (- (* x x) 3) 6) (+ (* (* x 1/6) x) -1/2) (* x 1/6) (/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) (/ 1/6 (pow (+ (* x x) -3) -1)) (pow (+ (* x x) -3) -1))
1.0ms	x	@	inf	((/ (+ (* x x) -3) 6) (+ (* x x) -3) (/ (- (* x x) 3) 6) (+ (* (* x 1/6) x) -1/2) (* x 1/6) (/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) (/ 1/6 (pow (+ (* x x) -3) -1)) (pow (+ (* x x) -3) -1))
1.0ms	x	@	-inf	((/ (+ (* x x) -3) 6) (+ (* x x) -3) (/ (- (* x x) 3) 6) (+ (* (* x 1/6) x) -1/2) (* x 1/6) (/ (- (* x x) 3) 6) (- (* x x) 3) (* x x) (/ 1/6 (pow (+ (* x x) -3) -1)) (pow (+ (* x x) -3) -1))

Time

Variable

Point

Expression

3.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify133.0ms (3.4%)

Memory

-12.2MiB live, 183.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	698
1	110	698
2	235	698
3	496	698
4	1262	698
5	2288	698
6	3183	698
7	4706	698
8	6233	698
0	8127	629

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

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

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

rewrite156.0ms (4%)

Memory

16.5MiB live, 298.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	65
0	29	60
1	114	60
2	585	60
3	5244	60
0	8107	60

Stop Event

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

Counts

10 → 791

Calls

Call 1

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

Outputs
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eval125.0ms (3.2%)

Memory: 10.5MiB live, 317.7MiB allocated
Compiler: Compiled 17 794 to 1 514 computations (91.5% saved)

prune24.0ms (0.6%)

Memory

5.2MiB live, 84.1MiB allocated

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	1 043	5	1 048
Fresh	5	1	6
Picked	1	4	5
Done	0	0	0
Total	1 049	10	1 059

Accuracy

100.0%

Counts

1 059 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
▶	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)) x #s(literal -1/2 binary64))
	67.3%	(fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
▶	99.8%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
✓	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
✓	99.9%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
✓	52.0%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	52.4%	(/.f64 #s(literal 1/6 binary64) #s(approx (pow (+ (* x x) -3) -1) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x)))
▶	52.0%	(.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 1/6 binary64))
✓	48.6%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 150 to 116 computations (22.7% saved)

simplify106.0ms (2.7%)

Memory

-15.4MiB live, 46.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	148
0	44	144
1	72	144
2	89	144
3	139	144
4	170	144
5	211	144
6	267	144
7	379	144
8	556	144
9	1127	144
10	1967	144
11	2177	144
12	2272	144
13	2318	144
14	2350	144
15	2363	144
16	2364	144
17	2364	144
18	2368	144
0	2368	140

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize74.0ms (1.9%)

Memory

17.1MiB live, 130.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0.11166000976844202	(/.f64 #s(literal 1/6 binary64) #s(approx (pow (+ (* x x) -3) -1) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x)))
accuracy	0.15625	(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x)
accuracy	0.36795686097640756	(/.f64 #s(literal 3 binary64) (*.f64 x x))
accuracy	31.039857264611598	#s(approx (pow (+ (* x x) -3) -1) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x))
accuracy	0	(/.f64 x #s(literal 6 binary64))
accuracy	0.05859375	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.09765625	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.09765625	(.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 1/6 binary64))
accuracy	30.652306226179995	#s(approx (- (* x x) 3) (*.f64 x x))
accuracy	0	(/.f64 #s(literal 6 binary64) x)
accuracy	0.05859375	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)) x #s(literal -1/2 binary64))
accuracy	0.265625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x))

Samples

56.0ms

256×

valid

Compiler

Compiled 121 to 29 computations (76% saved)

Precisions

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

ival-div: 17.0ms (43.3% of total)

ival-mult: 7.0ms (17.8% of total)

ival-add: 4.0ms (10.2% of total)

const: 4.0ms (10.2% of total)

ival-pow: 4.0ms (10.2% of total)

ival-sub: 2.0ms (5.1% of total)

exact: 1.0ms (2.5% of total)

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

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

series17.0ms (0.4%)

Memory

-7.3MiB live, 34.8MiB allocated

Counts

14 → 168

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

9.0ms

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

2.0ms

-inf

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

1.0ms

inf

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

simplify122.0ms (3.1%)

Memory

8.6MiB live, 167.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	978
1	122	978
2	252	978
3	519	978
4	1300	978
5	2328	978
6	3270	978
7	4863	978
8	6322	978
0	8086	912

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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

rewrite132.0ms (3.4%)

Memory

-12.9MiB live, 219.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	119
0	44	115
1	193	115
2	1034	109
0	8805	101

Stop Event

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

Counts

14 → 604

Calls

Call 1

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

Outputs
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eval111.0ms (2.9%)

Memory: 12.8MiB live, 209.6MiB allocated
Compiler: Compiled 12 621 to 2 017 computations (84% saved)

prune22.0ms (0.6%)

Memory

-26.4MiB live, 55.0MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	829	1	830
Fresh	0	1	1
Picked	1	4	5
Done	0	4	4
Total	830	10	840

Accuracy

100.0%

Counts

840 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.8%	(fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
✓	99.9%	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
✓	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)) x #s(literal -1/2 binary64))
▶	67.3%	(fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
✓	99.8%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
✓	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
✓	99.9%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
✓	52.0%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
✓	52.0%	(.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 1/6 binary64))
✓	48.6%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 79 to 63 computations (20.3% saved)

simplify104.0ms (2.7%)

Memory

31.7MiB live, 67.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 #s(literal -1 binary64) x)
cost-diff	128	(fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
cost-diff	960	(/.f64 x (/.f64 #s(literal -1 binary64) x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 #s(literal 1/36 binary64) (.f64 x x))
cost-diff	128	(neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64))))
cost-diff	320	(fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	104
0	36	102
1	71	102
2	132	97
3	255	96
4	565	96
5	1753	96
6	3684	95
7	4860	95
8	6149	95
9	6554	95
10	6577	95
11	6584	95
12	6842	95
13	7631	95
0	8366	93

Stop Event

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

Calls

Call 1

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

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

localize75.0ms (1.9%)

Memory

-1.5MiB live, 77.8MiB allocated

Localize:

Found 7 expressions of interest:

New	Metric	Score
accuracy	0	(/.f64 #s(literal -1 binary64) x)
accuracy	0.09765625	(fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
accuracy	0.16796875	(/.f64 x (/.f64 #s(literal -1 binary64) x))
accuracy	0.16796875	(.f64 #s(literal 1/36 binary64) (.f64 x x))
accuracy	0.2596093391242017	(/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))
accuracy	4.171620911269342	(fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
accuracy	15.602705350169904	(/.f64 x (fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64)))

Samples

52.0ms

256×

valid

Compiler

Compiled 115 to 26 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 37.0ms

ival-mult: 14.0ms (37.9% of total)

const: 9.0ms (24.4% of total)

ival-div: 7.0ms (19% of total)

ival-add: 4.0ms (10.8% of total)

ival-neg: 1.0ms (2.7% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.4%)

Memory

-22.5MiB live, 14.6MiB allocated

Counts

9 → 108

Calls

Call 1

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

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

Calls

3 calls:

Time

Variable

Point

Expression

3.0ms

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

2.0ms

inf

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

2.0ms

-inf

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

simplify117.0ms (3%)

Memory

24.3MiB live, 144.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	118	776
1	308	776
2	770	776
3	1835	776
4	4295	776
0	8057	740

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

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

rewrite120.0ms (3.1%)

Memory

20.8MiB live, 132.9MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	74
0	36	88
1	146	83
2	1091	53
0	9487	51

Stop Event

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

Counts

9 → 619

Calls

Call 1

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

Outputs
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eval120.0ms (3.1%)

Memory: -7.0MiB live, 153.9MiB allocated
Compiler: Compiled 24 521 to 1 356 computations (94.5% saved)

prune23.0ms (0.6%)

Memory

-32.0MiB live, 47.3MiB allocated

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	780	1	781
Fresh	0	0	0
Picked	1	1	2
Done	0	8	8
Total	781	10	791

Accuracy

100.0%

Counts

791 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
✓	99.9%	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
✓	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)) x #s(literal -1/2 binary64))
	66.2%	(fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64)))
✓	99.8%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
✓	99.9%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
✓	99.9%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
✓	52.0%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
✓	52.0%	(.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 1/6 binary64))
✓	48.6%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 251 to 130 computations (48.2% saved)

regimes20.0ms (0.5%)

Memory

26.6MiB live, 26.6MiB allocated

Counts

19 → 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))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) x)) x #s(literal -1/2 binary64))
(fma.f64 (/.f64 x (/.f64 #s(literal -1 binary64) x)) #s(literal -1/6 binary64) #s(literal -1/2 binary64))
(fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) #s(approx (neg (/ -1/4 (+ (* -1/6 (* x x)) -1/2))) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1/6 binary64) #s(approx (pow (+ (* x x) -3) -1) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x)))
(fma.f64 (.f64 (.f64 #s(literal 1/36 binary64) (.f64 x x)) x) (/.f64 x (fma.f64 (.f64 x x) #s(literal 1/6 binary64) #s(literal 1/2 binary64))) (neg.f64 (/.f64 #s(literal -1/4 binary64) (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal -1/2 binary64)))))
(/.f64 #s(literal 1/6 binary64) (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(/.f64 (fma.f64 x (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) #s(literal 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))

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

Calls

4 calls:

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

regimes11.0ms (0.3%)

Memory

-23.5MiB live, 15.0MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes10.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB 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))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #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:

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

Results

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes7.0ms (0.2%)

Memory

11.0MiB live, 11.0MiB 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:

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

Results

Accuracy	Segments	Branch
98.9%	2	`x`
98.9%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
98.9%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
98.9%	2	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes5.0ms (0.1%)

Memory

8.8MiB live, 8.8MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
48.6%	1	`x`
48.6%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
48.6%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
48.6%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch13.0ms (0.3%)

Memory

-25.1MiB live, 13.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	5.263758372703689e-12	3.6568907583059276

Samples

6.0ms

160×

valid

Compiler

Compiled 70 to 100 computations (-42.9% saved)

Precisions

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

ival-sub: 1.0ms (43.4% of total)

ival-div: 1.0ms (43.4% of total)

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

exact: 0.0ms (0% of total)

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

simplify24.0ms (0.6%)

Memory

5.1MiB live, 45.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	55
1	23	55

Stop Event

1×

saturated

Calls

Call 1

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

soundness567.0ms (14.6%)

Memory

7.9MiB live, 273.7MiB 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	19	162
1	43	162
2	98	162
3	236	162
4	759	162
5	1590	162
6	2334	162
7	3514	162
8	4236	162
9	5345	162
10	6402	162
11	7126	162
0	8039	144
0	20	65
0	29	60
1	114	60
2	585	60
3	5244	60
0	8107	60

Stop Event

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

Compiler

Compiled 92 to 63 computations (31.5% saved)

preprocess64.0ms (1.6%)

Memory: -0.5MiB live, 88.6MiB allocated
Remove: (abs x)
Compiler: Compiled 106 to 68 computations (35.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

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

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

start0.0ms (0%)

analyze0.0ms (0%)

sample706.0ms (18.2%)

explain135.0ms (3.5%)

preprocess19.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify87.0ms (2.2%)

localize16.0ms (0.4%)

series3.0ms (0.1%)

simplify156.0ms (4%)

rewrite222.0ms (5.7%)

eval130.0ms (3.4%)

prune22.0ms (0.6%)

simplify4.0ms (0.1%)

localize47.0ms (1.2%)

series8.0ms (0.2%)

simplify133.0ms (3.4%)

rewrite156.0ms (4%)

eval125.0ms (3.2%)

prune24.0ms (0.6%)

simplify106.0ms (2.7%)

localize74.0ms (1.9%)

series17.0ms (0.4%)

simplify122.0ms (3.1%)

rewrite132.0ms (3.4%)

eval111.0ms (2.9%)

prune22.0ms (0.6%)

simplify104.0ms (2.7%)

localize75.0ms (1.9%)

series16.0ms (0.4%)

simplify117.0ms (3%)

rewrite120.0ms (3.1%)

eval120.0ms (3.1%)

prune23.0ms (0.6%)

regimes20.0ms (0.5%)

regimes11.0ms (0.3%)

regimes10.0ms (0.2%)

regimes7.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch13.0ms (0.3%)

simplify24.0ms (0.6%)

soundness567.0ms (14.6%)

preprocess64.0ms (1.6%)

end0.0ms (0%)

Profiling

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