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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.4MiB live, 0.4MiB 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)

sample821.0ms (20.9%)

Memory

-125.6MiB live, 686.1MiB allocated

Samples

545.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 185.0ms

ival-div: 65.0ms (35.2% of total)

ival-mult: 63.0ms (34.1% of total)

ival-sub: 39.0ms (21.1% of total)

exact: 9.0ms (4.9% of total)

ival-true: 6.0ms (3.2% of total)

ival-assert: 3.0ms (1.6% of total)

Bogosity

explain117.0ms (3%)

Memory

-13.2MiB live, 72.4MiB allocated

FPErrors

Click to see full error table

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

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`	o/n	1	0
↳	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`	overflow	64
↳	`(*.f64 x x)`	overflow	64

Confusion

	Predicted +	Predicted -
+	1	0
-	0	255

Precision

1.0

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	255

Precision?

1.0

Recall?

1.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

58.0ms

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)

exact: 1.0ms (9.1% of total)

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

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

preprocess48.0ms (1.2%)

Memory

-14.5MiB live, 23.0MiB 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

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

5.3MiB live, 5.3MiB 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)

localize18.0ms (0.5%)

Memory

-4.4MiB live, 33.9MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 (*.f64 x x) #s(literal 3 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.24986575080263254	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Samples

14.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-mult: 4.0ms (53.4% of total)

ival-div: 2.0ms (26.7% of total)

ival-sub: 1.0ms (13.3% 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

6.3MiB live, 6.3MiB 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))

simplify115.0ms (2.9%)

Memory

-15.4MiB live, 102.2MiB 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)

rewrite168.0ms (4.3%)

Memory

37.3MiB live, 227.9MiB 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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eval97.0ms (2.5%)

Memory: -16.4MiB live, 224.4MiB allocated
Compiler: Compiled 14 583 to 1 649 computations (88.7% saved)

prune16.0ms (0.4%)

Memory

19.0MiB live, 58.1MiB allocated

Pruning

9 alts after pruning (9 fresh and 0 done)

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

Accuracy

100.0%

Counts

553 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(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))
	99.5%	(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))
▶	61.8%	(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
	54.1%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	99.6%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
	99.5%	(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64))
	54.0%	#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
▶	46.1%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 130 to 114 computations (12.3% saved)

simplify7.0ms (0.2%)

Memory

-28.9MiB live, 10.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	93
0	41	90
1	62	90
2	69	90
3	71	90
0	71	90

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize74.0ms (1.9%)

Memory

-0.1MiB live, 160.7MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 x x)
accuracy	0.04296875	(fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))
accuracy	0.3084595008026325	(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64))
accuracy	21.21593667655296	(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
accuracy	0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.06640625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
accuracy	0.4963488843672869	(/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.3084595008026325	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
accuracy	34.501235814019644	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
accuracy	0.0625	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
accuracy	0.34375	(*.f64 x #s(literal 1/6 binary64))

Samples

48.0ms

256×

valid

Compiler

Compiled 102 to 30 computations (70.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 32.0ms

ival-mult: 9.0ms (27.9% of total)

ival-div: 7.0ms (21.7% of total)

const: 6.0ms (18.6% of total)

ival-add: 5.0ms (15.5% of total)

ival-pow: 3.0ms (9.3% of total)

ival-sub: 1.0ms (3.1% of total)

exact: 1.0ms (3.1% of total)

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

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

series10.0ms (0.3%)

Memory

24.3MiB live, 24.3MiB allocated

Counts

12 → 144

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	((+ (* (* x 1/6) x) -1/2) (* x 1/6) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (* x x) (/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (+ (* x x) -3) (/ (+ (* 1/36 (pow x 4)) -1/4) (+ (* 1/6 (* x x)) 1/2)) (+ (* 1/36 (pow x 4)) -1/4) (pow x 4) (+ (* 1/6 (* x x)) 1/2))
2.0ms	x	@	0	((+ (* (* x 1/6) x) -1/2) (* x 1/6) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (* x x) (/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (+ (* x x) -3) (/ (+ (* 1/36 (pow x 4)) -1/4) (+ (* 1/6 (* x x)) 1/2)) (+ (* 1/36 (pow x 4)) -1/4) (pow x 4) (+ (* 1/6 (* x x)) 1/2))
2.0ms	x	@	-inf	((+ (* (* x 1/6) x) -1/2) (* x 1/6) (/ (- (* x x) 3) 6) (+ (* (* x x) 1/6) -1/2) (* x x) (/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (+ (* x x) -3) (/ (+ (* 1/36 (pow x 4)) -1/4) (+ (* 1/6 (* x x)) 1/2)) (+ (* 1/36 (pow x 4)) -1/4) (pow x 4) (+ (* 1/6 (* x x)) 1/2))

Time

Variable

Point

Expression

3.0ms

inf

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

2.0ms

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

2.0ms

-inf

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

simplify129.0ms (3.3%)

Memory

-6.9MiB live, 150.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	830
1	146	830
2	314	830
3	661	830
4	1348	830
5	2239	830
6	3458	830
7	5512	830
8	7271	830
0	8068	752

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

Calls

Call 1

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

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

rewrite165.0ms (4.2%)

Memory

-18.9MiB live, 309.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	73
0	41	63
1	184	63
2	948	63
0	8706	63

Stop Event

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

Counts

12 → 1 578

Calls

Call 1

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

Outputs
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eval203.0ms (5.2%)

Memory: 46.2MiB live, 430.2MiB allocated
Compiler: Compiled 42 456 to 2 614 computations (93.8% saved)

prune51.0ms (1.3%)

Memory

-62.1MiB live, 138.1MiB allocated

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	1 734	4	1 738
Fresh	3	1	4
Picked	2	3	5
Done	0	0	0
Total	1 739	8	1 747

Accuracy

100.0%

Counts

1 747 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
✓	99.5%	(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))
▶	54.1%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	54.0%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (+ (* x x) -3) (*.f64 x x))))
▶	54.6%	(/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x)))
▶	54.0%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	46.1%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 94 to 79 computations (16% saved)

simplify5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x)
cost-diff	0	(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x)
cost-diff	0	#s(approx (/ 6 (+ (* x x) -3)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x)))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (+ (* x x) -3) (*.f64 x x))
cost-diff	0	(/.f64 #s(literal 6 binary64) #s(approx (+ (* x x) -3) (*.f64 x x)))
cost-diff	1088	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (+ (* x x) -3) (*.f64 x x))))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (* x x) 3) (*.f64 x x))
cost-diff	0	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 1/6 binary64))
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
cost-diff	0	(/.f64 x #s(literal 6 binary64))
cost-diff	0	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	178
0	43	176
1	66	175
2	71	175
0	71	168

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(/.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
x
#s(literal 1/6 binary64)
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))
(*.f64 x x)
x
#s(literal 6 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (+ (* x x) -3) (*.f64 x x))))
#s(literal 1 binary64)
(/.f64 #s(literal 6 binary64) #s(approx (+ (* x x) -3) (*.f64 x x)))
#s(literal 6 binary64)
#s(approx (+ (* x x) -3) (*.f64 x x))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x)))
#s(literal 1 binary64)
#s(approx (/ 6 (+ (* x x) -3)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x)
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x)
(+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64))
(/.f64 #s(literal 18 binary64) (*.f64 x x))
#s(literal 18 binary64)
(*.f64 x x)
x
#s(literal 6 binary64)

Outputs
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(/.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
#s(literal -1/2 binary64)
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(.f64 #s(literal 1/6 binary64) (.f64 x x))
(*.f64 x x)
x
#s(literal 1/6 binary64)
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))
(*.f64 x x)
x
#s(literal 6 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (+ (* x x) -3) (*.f64 x x))))
(.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 1/6 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 6 binary64) #s(approx (+ (* x x) -3) (*.f64 x x)))
(/.f64 #s(literal 6 binary64) #s(approx (- (* x x) 3) (*.f64 x x)))
#s(literal 6 binary64)
#s(approx (+ (* x x) -3) (*.f64 x x))
#s(approx (- (* x x) 3) (*.f64 x x))
(*.f64 x x)
x
(/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x)))
#s(literal 1 binary64)
#s(approx (/ 6 (+ (* x x) -3)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x)
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x)
(+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64))
(/.f64 #s(literal 18 binary64) (*.f64 x x))
#s(literal 18 binary64)
(*.f64 x x)
x
#s(literal 6 binary64)

localize55.0ms (1.4%)

Memory

-2.4MiB live, 116.2MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x)))
accuracy	0.12109375	(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x)
accuracy	0.5383581110309936	(/.f64 #s(literal 18 binary64) (*.f64 x x))
accuracy	29.568307859735516	#s(approx (/ 6 (+ (* x x) -3)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x))
accuracy	0	(*.f64 x x)
accuracy	0.06640625	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (+ (* x x) -3) (*.f64 x x))))
accuracy	0.4963488843672869	(/.f64 #s(literal 6 binary64) #s(approx (+ (* x x) -3) (*.f64 x x)))
accuracy	29.15393672237778	#s(approx (+ (* x x) -3) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0.24986575080263254	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
accuracy	29.15393672237778	#s(approx (- (* x x) 3) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0.3983032508026325	(.f64 (.f64 x x) #s(literal 1/6 binary64))
accuracy	29.152906346454273	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
accuracy	0	(/.f64 x #s(literal 6 binary64))
accuracy	0.0625	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))

Samples

39.0ms

256×

valid

Compiler

Compiled 131 to 24 computations (81.7% saved)

Precisions

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

ival-div: 12.0ms (46.6% of total)

ival-add: 4.0ms (15.5% of total)

ival-mult: 4.0ms (15.5% of total)

const: 4.0ms (15.5% of total)

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

exact: 1.0ms (3.9% of total)

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

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

series12.0ms (0.3%)

Memory

-12.2MiB live, 26.7MiB allocated

Counts

15 → 180

Calls

Call 1

Inputs
#s(alt (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) (patch (fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 x #s(literal 6 binary64)) (patch (/.f64 x #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64))) (patch #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 1/6 binary64)) (patch (.f64 (.f64 x x) #s(literal 1/6 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (- (* x x) 3) (.f64 x x)) #s(literal 6 binary64)) (patch (/.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 6 binary64)) #<representation binary64>) () ())
#s(alt #s(approx (- (* x x) 3) (.f64 x x)) (patch #s(approx (- ( x x) 3) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (+ (* x x) -3) (.f64 x x)))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (+ ( x x) -3) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 6 binary64) #s(approx (+ (* x x) -3) (.f64 x x))) (patch (/.f64 #s(literal 6 binary64) #s(approx (+ ( x x) -3) (*.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (+ (* x x) -3) (.f64 x x)) (patch #s(approx (+ ( x x) -3) (*.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (.f64 x x)) #s(literal 6 binary64)) x) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ ( x x) -3)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ 6 (+ (* x x) -3)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (.f64 x x)) #s(literal 6 binary64)) x) x)) (patch #s(approx (/ 6 (+ ( x x) -3)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (.f64 x x)) #s(literal 6 binary64)) x) x) (patch (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (.f64 x x)) #s(literal 6 binary64)) x) x) #<representation binary64>) () ())
#s(alt (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (.f64 x x)) #s(literal 6 binary64)) x) (patch (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (.f64 x x)) #s(literal 6 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 18 binary64) (.f64 x x)) (patch (/.f64 #s(literal 18 binary64) (.f64 x x)) #<representation binary64>) () ())

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

Calls

3 calls:

Time

Variable

Point

Expression

2.0ms

((+ (* (/ x 6) x) -1/2) (/ x 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (- (* x x) 3) (/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (+ (* x x) -3) (/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (/ (/ (+ (/ 18 (* x x)) 6) x) x) (/ (+ (/ 18 (* x x)) 6) x) (/ 18 (* x x)))

2.0ms

-inf

((+ (* (/ x 6) x) -1/2) (/ x 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (- (* x x) 3) (/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (+ (* x x) -3) (/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (/ (/ (+ (/ 18 (* x x)) 6) x) x) (/ (+ (/ 18 (* x x)) 6) x) (/ 18 (* x x)))

2.0ms

inf

((+ (* (/ x 6) x) -1/2) (/ x 6) (/ (- (* x x) 3) 6) (* (* x x) 1/6) (* x x) (/ (- (* x x) 3) 6) (- (* x x) 3) (/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (+ (* x x) -3) (/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (/ (/ (+ (/ 18 (* x x)) 6) x) x) (/ (+ (/ 18 (* x x)) 6) x) (/ 18 (* x x)))

simplify128.0ms (3.3%)

Memory

33.8MiB live, 105.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	1182
1	128	1182
2	267	1182
3	536	1182
4	1325	1182
5	2371	1182
6	3306	1182
7	4877	1182
8	6134	1182
0	8077	1101

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

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

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

rewrite202.0ms (5.1%)

Memory

-9.4MiB live, 192.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	148
0	43	146
1	186	145
2	1046	145
0	8480	134

Stop Event

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

Counts

15 → 535

Calls

Call 1

Inputs
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(/.f64 x #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(.f64 (.f64 x x) #s(literal 1/6 binary64))
(*.f64 x x)
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
#s(approx (- (* x x) 3) (*.f64 x x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (+ (* x x) -3) (*.f64 x x))))
(/.f64 #s(literal 6 binary64) #s(approx (+ (* x x) -3) (*.f64 x x)))
#s(approx (+ (* x x) -3) (*.f64 x x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x)))
#s(approx (/ 6 (+ (* x x) -3)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x))
(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x)
(/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x)
(/.f64 #s(literal 18 binary64) (*.f64 x x))

Outputs
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eval94.0ms (2.4%)

Memory: 4.3MiB live, 165.4MiB allocated
Compiler: Compiled 10 819 to 1 894 computations (82.5% saved)

prune20.0ms (0.5%)

Memory

11.6MiB live, 48.2MiB allocated

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	793	3	796
Fresh	0	0	0
Picked	2	3	5
Done	1	2	3
Total	796	8	804

Accuracy

100.0%

Counts

804 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
✓	99.5%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
✓	54.1%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	54.3%	(/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x)) x)))
▶	54.3%	#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
✓	54.0%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
▶	54.3%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	46.1%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 47 to 41 computations (12.8% saved)

simplify5.0ms (0.1%)

Memory

-35.5MiB live, 3.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 10 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x))
cost-diff	0	(/.f64 #s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x)) x)
cost-diff	0	#s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x)) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x)) x)))
cost-diff	0	(/.f64 #s(literal 6 binary64) x)
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
cost-diff	384	(/.f64 x (/.f64 #s(literal 6 binary64) x))
cost-diff	0	(*.f64 #s(literal 1/6 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
cost-diff	0	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	128
0	31	128
1	48	128
2	54	128
3	55	128
0	55	124

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
x
(/.f64 #s(literal 6 binary64) x)
#s(literal 6 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x)) x)))
#s(literal 1 binary64)
#s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x)) x))
(/.f64 #s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x)) x)
#s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal 6 binary64) x)
#s(literal 6 binary64)
x

Outputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
#s(literal 1/6 binary64)
x
#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 x x) #s(literal 6 binary64)))
(/.f64 x (/.f64 #s(literal 6 binary64) x))
(/.f64 (*.f64 x x) #s(literal 6 binary64))
x
(/.f64 #s(literal 6 binary64) x)
#s(literal 6 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x)) x)))
#s(literal 1 binary64)
#s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x)) x))
(/.f64 #s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x)) x)
#s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x))
(/.f64 #s(literal 6 binary64) x)
#s(literal 6 binary64)
x

localize48.0ms (1.2%)

Memory

17.9MiB live, 55.5MiB allocated

Localize:

Found 10 expressions of interest:

New	Metric	Score
accuracy	0.06640625	(/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x)) x)))
accuracy	0.12109375	(/.f64 #s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x)) x)
accuracy	28.077781420717695	#s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x))
accuracy	29.568307859735516	#s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x)) x))
accuracy	0	(/.f64 #s(literal 6 binary64) x)
accuracy	0.125	(/.f64 x (/.f64 #s(literal 6 binary64) x))
accuracy	29.152906346454273	#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
accuracy	0.10546875	(.f64 (.f64 #s(literal 1/6 binary64) x) x)
accuracy	0.34375	(*.f64 #s(literal 1/6 binary64) x)
accuracy	29.152906346454273	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))

Samples

36.0ms

256×

valid

Compiler

Compiled 78 to 23 computations (70.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-div: 14.0ms (52.4% of total)

ival-mult: 5.0ms (18.7% of total)

const: 3.0ms (11.2% of total)

ival-add: 2.0ms (7.5% of total)

ival-sub: 1.0ms (3.7% of total)

exact: 1.0ms (3.7% of total)

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

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

series7.0ms (0.2%)

Memory

10.4MiB live, 10.4MiB allocated

Counts

10 → 120

Calls

Call 1

Inputs
#s(alt #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) (patch #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 1/6 binary64) x) x) (patch (.f64 (.f64 #s(literal 1/6 binary64) x) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/6 binary64) x) (patch (.f64 #s(literal 1/6 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 x (/.f64 #s(literal 6 binary64) x)) (patch (/.f64 x (/.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) (patch #s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x))) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 6 binary64) x) (patch (/.f64 #s(literal 6 binary64) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x)) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x)) x))) #<representation binary64>) () ())
#s(alt #s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x)) x)) (patch #s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x)) x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x)) x) (patch (/.f64 #s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x)) x) #<representation binary64>) () ())
#s(alt #s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x)) (patch #s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x)) #<representation binary64>) () ())

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ x (/ 6 x)) (/ (- (* x x) 3) 6) (/ 6 x) (/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (/ (/ (+ (/ 18 (* x x)) 6) x) x) (/ (+ (/ 18 (* x x)) 6) x))

1.0ms

-inf

((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ x (/ 6 x)) (/ (- (* x x) 3) 6) (/ 6 x) (/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (/ (/ (+ (/ 18 (* x x)) 6) x) x) (/ (+ (/ 18 (* x x)) 6) x))

1.0ms

inf

((/ (- (* x x) 3) 6) (* (* 1/6 x) x) (* 1/6 x) (/ x (/ 6 x)) (/ (- (* x x) 3) 6) (/ 6 x) (/ 1 (/ 6 (+ (* x x) -3))) (/ 6 (+ (* x x) -3)) (/ (/ (+ (/ 18 (* x x)) 6) x) x) (/ (+ (/ 18 (* x x)) 6) x))

simplify120.0ms (3.1%)

Memory

-10.0MiB live, 71.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	778
1	113	778
2	228	778
3	438	778
4	872	778
5	1337	778
6	2097	778
7	3510	778
8	5079	778
9	6672	778
0	8125	739

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

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

rewrite151.0ms (3.8%)

Memory

19.4MiB live, 136.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	118
0	31	118
1	142	118
2	809	118
3	7380	118
0	8601	110

Stop Event

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

Counts

10 → 213

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
(.f64 (.f64 #s(literal 1/6 binary64) x) x)
(*.f64 #s(literal 1/6 binary64) x)
(/.f64 x (/.f64 #s(literal 6 binary64) x))
#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
(/.f64 #s(literal 6 binary64) x)
(/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x)) x)))
#s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x)) x))
(/.f64 #s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x)) x)
#s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x))

Outputs
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eval52.0ms (1.3%)

Memory: -15.2MiB live, 60.0MiB allocated
Compiler: Compiled 3 474 to 646 computations (81.4% saved)

prune30.0ms (0.8%)

Memory

-10.8MiB live, 28.5MiB allocated

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	367	2	369
Fresh	0	0	0
Picked	1	2	3
Done	1	4	5
Total	369	8	377

Accuracy

100.0%

Counts

377 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.5%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
✓	54.1%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
	54.3%	#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal -1 binary64) x)))
✓	54.3%	#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
	54.4%	#s(approx (/ (- (* x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x))
✓	54.0%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
✓	54.3%	#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
✓	46.1%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 187 to 108 computations (42.2% saved)

regimes22.0ms (0.6%)

Memory

33.4MiB live, 33.4MiB 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)))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) x) x))
#s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 x x) #s(literal 1/6 binary64)))
(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))
#s(approx (/ (- (* x x) 3) 6) (*.f64 (/.f64 x #s(literal 6 binary64)) x))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
#s(approx (/ (- (* x x) 3) 6) (/.f64 x (/.f64 #s(literal 6 binary64) x)))
#s(approx (/ (- (* x x) 3) 6) (/.f64 (*.f64 #s(literal -1/6 binary64) x) (/.f64 #s(literal -1 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (+ (* x x) -3) (*.f64 x x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 #s(approx (/ (+ (/ 18 (* x x)) 6) x) (/.f64 #s(literal 6 binary64) x)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 6 (+ (* x x) -3)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 x x #s(literal -3 binary64))) #s(literal -1 binary64)) #s(literal -1/6 binary64))
(/.f64 (fma.f64 #s(literal 1/36 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 1/2 binary64)))
(fma.f64 #s(literal 1/6 binary64) (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:

6.0ms	x
5.0ms	(*.f64 x x)
5.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
5.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Results

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes17.0ms (0.4%)

Memory

-25.1MiB live, 17.6MiB allocated

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

7.0ms	(*.f64 x x)
3.0ms	x
3.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))
3.0ms	(/.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)

regimes8.0ms (0.2%)

Memory

14.2MiB live, 14.2MiB allocated

Counts

4 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
98.7%	2	`x`
98.7%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
98.7%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
98.7%	2	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes6.0ms (0.2%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

2 → 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)))

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

Results

Accuracy	Segments	Branch
98.4%	2	`x`
98.4%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
98.4%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
98.4%	2	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes8.0ms (0.2%)

Memory

-26.1MiB live, 10.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

4.0ms	(*.f64 x x)
1.0ms	x
1.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
1.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

Accuracy	Segments	Branch
46.1%	1	`x`
46.1%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
46.1%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
46.1%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	8.475633018351266e-7	10.96633595230892

Compiler

Compiled 10 to 10 computations (0% saved)

bsearch11.0ms (0.3%)

Memory

18.1MiB live, 18.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
10.0ms	8.475633018351266e-7	10.96633595230892

Samples

4.0ms

144×

valid

Compiler

Compiled 64 to 91 computations (-42.2% saved)

Precisions

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

ival-sub: 1.0ms (52.3% of total)

ival-div: 1.0ms (52.3% 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

8.9MiB live, 46.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	77
1	27	77

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(if (<=.f64 (.f64 x x) #s(literal 4722366482869645/4722366482869645213696 binary64)) #s(approx (/ (- ( x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) 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 #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))
(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 4722366482869645/4722366482869645213696 binary64)) #s(approx (/ (- ( x x) 3) 6) #s(literal -1/2 binary64)) #s(approx (/ (- (* x x) 3) 6) (.f64 (.f64 #s(literal 1/6 binary64) 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 #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))

soundness812.0ms (20.7%)

Memory

-12.0MiB live, 385.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	830
1	146	830
2	314	830
3	661	830
4	1348	830
5	2239	830
6	3458	830
7	5512	830
8	7271	830
0	8068	752
0	29	148
0	43	146
1	186	145
2	1046	145
0	8480	134
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	26	73
0	41	63
1	184	63
2	948	63
0	8706	63

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

Compiler

Compiled 100 to 69 computations (31% saved)

preprocess40.0ms (1%)

Memory: -2.7MiB live, 72.4MiB allocated
Remove: (abs x)
Compiler: Compiled 122 to 72 computations (41% 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%)

sample821.0ms (20.9%)

explain117.0ms (3%)

preprocess48.0ms (1.2%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize18.0ms (0.5%)

series3.0ms (0.1%)

simplify115.0ms (2.9%)

rewrite168.0ms (4.3%)

eval97.0ms (2.5%)

prune16.0ms (0.4%)

simplify7.0ms (0.2%)

localize74.0ms (1.9%)

series10.0ms (0.3%)

simplify129.0ms (3.3%)

rewrite165.0ms (4.2%)

eval203.0ms (5.2%)

prune51.0ms (1.3%)

simplify5.0ms (0.1%)

localize55.0ms (1.4%)

series12.0ms (0.3%)

simplify128.0ms (3.3%)

rewrite202.0ms (5.1%)

eval94.0ms (2.4%)

prune20.0ms (0.5%)

simplify5.0ms (0.1%)

localize48.0ms (1.2%)

series7.0ms (0.2%)

simplify120.0ms (3.1%)

rewrite151.0ms (3.8%)

eval52.0ms (1.3%)

prune30.0ms (0.8%)

regimes22.0ms (0.6%)

regimes17.0ms (0.4%)

regimes8.0ms (0.2%)

regimes6.0ms (0.2%)

regimes8.0ms (0.2%)

bsearch0.0ms (0%)

bsearch11.0ms (0.3%)

simplify24.0ms (0.6%)

soundness812.0ms (20.7%)

preprocess40.0ms (1%)

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