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

0.8MiB live, 0.8MiB 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)

sample728.0ms (16.7%)

Memory

10.7MiB live, 949.0MiB allocated

Samples

509.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 267.0ms

ival-mult: 138.0ms (51.6% of total)

ival-div: 69.0ms (25.8% of total)

ival-sub: 42.0ms (15.7% of total)

exact: 9.0ms (3.4% of total)

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

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

Bogosity

explain115.0ms (2.6%)

Memory

-21.2MiB live, 125.6MiB allocated

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0/0

Samples

66.0ms

512×

valid

Compiler

Compiled 65 to 28 computations (56.9% saved)

Precisions

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

ival-div: 4.0ms (34.8% of total)

ival-mult: 4.0ms (34.8% of total)

ival-sub: 3.0ms (26.1% of total)

exact: 1.0ms (8.7% of total)

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

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

preprocess22.0ms (0.5%)

Memory

-10.1MiB live, 27.0MiB 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: 0.5MiB live, 0.5MiB 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
▶	99.9%	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Compiler

Compiled 7 to 6 computations (14.3% saved)

simplify3.0ms (0.1%)

Memory

4.9MiB live, 4.9MiB 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)

localize21.0ms (0.5%)

Memory

13.2MiB live, 51.9MiB 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	0.07421875	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))

Samples

12.0ms

256×

valid

Compiler

Compiled 38 to 14 computations (63.2% saved)

Precisions

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

ival-div: 2.0ms (36.2% of total)

ival-mult: 2.0ms (36.2% of total)

ival-sub: 1.0ms (18.1% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

-30.0MiB live, 8.6MiB 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
2.0ms	x	@	inf	((- (* x x) 3) (/ (- (* x x) 3) 6) (* x x))
1.0ms	x	@	0	((- (* x x) 3) (/ (- (* x x) 3) 6) (* x x))
1.0ms	x	@	-inf	((- (* x x) 3) (/ (- (* x x) 3) 6) (* x x))

simplify121.0ms (2.8%)

Memory

11.8MiB live, 134.1MiB 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)

rewrite459.0ms (10.5%)

Memory

23.3MiB live, 177.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

3 → 516

Calls

Call 1

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

Outputs
#<batchref>
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eval143.0ms (3.3%)

Memory: 7.6MiB live, 81.5MiB allocated
Compiler: Compiled 14 583 to 1 649 computations (88.7% saved)

prune30.0ms (0.7%)

Memory

5.2MiB live, 40.8MiB allocated

Pruning

11 alts after pruning (11 fresh and 0 done)

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

Accuracy

100.0%

Counts

553 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.8%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
▶	99.8%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
	99.8%	(fma.f64 #s(literal 1/6 binary64) (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
	63.1%	(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) #s(literal 6 binary64))
▶	99.9%	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
	56.1%	(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
▶	57.4%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
▶	99.8%	(/.f64 #s(literal 1/6 binary64) (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1 binary64)))
	57.3%	#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
▶	43.4%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 174 to 142 computations (18.4% saved)

simplify26.0ms (0.6%)

Memory

-49.0MiB live, 4.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize62.0ms (1.4%)

Memory

22.5MiB live, 59.2MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.125	(/.f64 #s(literal 1/6 binary64) (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1 binary64)))
accuracy	0.6195343650322953	(pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.07421875	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
accuracy	27.221770707032565	#s(approx (- (* x x) 3) (*.f64 x x))
accuracy	0.06640625	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
accuracy	0.328125	(*.f64 x #s(literal 1/6 binary64))
accuracy	36.22630663909155	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
accuracy	0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.07421875	(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))

Samples

50.0ms

256×

valid

Compiler

Compiled 145 to 35 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-add: 18.0ms (47.1% of total)

ival-div: 5.0ms (13.1% of total)

ival-mult: 5.0ms (13.1% of total)

const: 4.0ms (10.5% of total)

ival-pow: 4.0ms (10.5% of total)

ival-sub: 1.0ms (2.6% of total)

exact: 1.0ms (2.6% of total)

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

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

series6.0ms (0.1%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

10 → 120

Calls

Call 1

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

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

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

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

1.0ms

inf

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

1.0ms

-inf

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

simplify200.0ms (4.6%)

Memory

6.0MiB live, 80.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

rewrite153.0ms (3.5%)

Memory

4.8MiB live, 239.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	65
0	29	60
1	114	60
2	585	60
3	5231	60
0	8093	60

Stop Event

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

Counts

10 → 791

Calls

Call 1

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

Outputs
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eval144.0ms (3.3%)

Memory: 6.4MiB live, 322.3MiB allocated
Compiler: Compiled 17 794 to 1 514 computations (91.5% saved)

prune80.0ms (1.8%)

Memory

3.2MiB live, 80.9MiB allocated

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	1 042	6	1 048
Fresh	5	1	6
Picked	2	3	5
Done	0	0	0
Total	1 049	10	1 059

Accuracy

100.0%

Counts

1 059 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
▶	99.8%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
✓	99.8%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
	56.4%	(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -3 binary64))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1/2 binary64)) #s(literal 6 binary64)))
✓	57.4%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
▶	57.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (- (* x x) 3) (*.f64 x x))))
▶	99.8%	(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))))
	57.6%	(/.f64 #s(literal 1/6 binary64) #s(approx (pow (+ (* x x) -3) -1) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x)))
▶	57.3%	(.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 1/6 binary64))
✓	43.4%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 138 to 111 computations (19.6% saved)

simplify7.0ms (0.2%)

Memory

-33.5MiB live, 10.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score
cost-diff	0	(fma.f64 x x #s(literal -3 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))
cost-diff	1088	(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (* x x) 3) (*.f64 x x))
cost-diff	0	(/.f64 #s(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	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (- (* x x) 3) (*.f64 x x))
cost-diff	0	(.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 1/6 binary64))
cost-diff	0	(/.f64 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	20	110
0	32	101
1	48	101
2	54	101
0	54	101

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

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

localize56.0ms (1.3%)

Memory

6.1MiB live, 121.3MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score
accuracy	0	(fma.f64 x x #s(literal -3 binary64))
accuracy	0.125	(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))))
accuracy	0.6195343650322953	(/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64)))
accuracy	0	(*.f64 x x)
accuracy	0.0703125	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (- (* x x) 3) (*.f64 x x))))
accuracy	0.6843303709490898	(/.f64 #s(literal 6 binary64) #s(approx (- (* x x) 3) (*.f64 x x)))
accuracy	27.221770707032565	#s(approx (- (* x x) 3) (*.f64 x x))
accuracy	0	(*.f64 x x)
accuracy	0.12109375	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
accuracy	0	(*.f64 x x)
accuracy	0.125	(.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 1/6 binary64))
accuracy	27.221770707032565	#s(approx (- (* x x) 3) (*.f64 x x))
accuracy	0	(/.f64 x #s(literal 6 binary64))
accuracy	0.06640625	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))

Samples

39.0ms

256×

valid

Compiler

Compiled 182 to 39 computations (78.6% saved)

Precisions

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

ival-div: 9.0ms (34.4% of total)

ival-mult: 8.0ms (30.6% of total)

ival-add: 4.0ms (15.3% of total)

const: 4.0ms (15.3% of total)

ival-sub: 1.0ms (3.8% of total)

exact: 1.0ms (3.8% of total)

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

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

series7.0ms (0.2%)

Memory

16.2MiB live, 16.2MiB allocated

Counts

11 → 132

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

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

Calls

3 calls:

Time

Variable

Point

Expression

1.0ms

inf

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

1.0ms

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

1.0ms

-inf

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

simplify125.0ms (2.9%)

Memory

-10.1MiB live, 146.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	850
1	175	850
2	377	850
3	766	850
4	1771	850
5	2650	850
6	3724	850
7	6191	850
0	8074	775

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

rewrite153.0ms (3.5%)

Memory

32.0MiB live, 183.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	80
0	32	72
1	134	72
2	660	72
3	5506	72
0	8393	72

Stop Event

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

Counts

11 → 788

Calls

Call 1

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

Outputs
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eval167.0ms (3.8%)

Memory: -2.7MiB live, 206.5MiB allocated
Compiler: Compiled 14 957 to 1 585 computations (89.4% saved)

prune27.0ms (0.6%)

Memory

-1.1MiB live, 71.3MiB allocated

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	1 006	2	1 008
Fresh	1	1	2
Picked	0	5	5
Done	0	3	3
Total	1 007	11	1 018

Accuracy

100.0%

Counts

1 018 → 11

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))
✓	99.8%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
✓	99.8%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
✓	57.4%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
✓	57.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (- (* x x) 3) (*.f64 x x))))
▶	57.7%	(/.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)))
✓	99.8%	(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))))
▶	57.6%	(/.f64 #s(literal 1/6 binary64) #s(approx (pow (+ (* x x) -3) -1) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x)))
▶	57.2%	(.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (.f64 x x)))) (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (*.f64 x x)))))
✓	57.3%	(.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 1/6 binary64))
✓	43.4%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 91 to 71 computations (22% saved)

simplify143.0ms (3.3%)

Memory

9.2MiB live, 47.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 12 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 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) x)
cost-diff	0	(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x)
cost-diff	0	#s(approx (pow (+ (* x x) -3) -1) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x))
cost-diff	0	(/.f64 #s(literal 1/6 binary64) #s(approx (pow (+ (* x x) -3) -1) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x)))
cost-diff	0	#s(approx (- (* x x) 3) (*.f64 x x))
cost-diff	0	(.f64 #s(literal 1/6 binary64) #s(approx (- ( x x) 3) (*.f64 x x)))
cost-diff	0	(sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- ( x x) 3) (*.f64 x x))))
cost-diff	2240	(.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (.f64 x x)))) (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (*.f64 x x)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	220
0	45	206
1	65	206
2	78	206
3	95	206
4	113	206
5	147	206
6	190	206
7	290	206
8	488	206
9	1008	206
10	1841	206
11	2184	206
12	2404	206
13	2615	206
14	2820	206
15	3007	206
16	3296	206
17	3552	206
18	3612	206
19	3764	206
20	3764	206
21	3764	206
22	3764	206
0	3764	198

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

localize97.0ms (2.2%)

Memory

1.3MiB live, 87.3MiB allocated

Localize:

Found 12 expressions of interest:

New	Metric	Score
accuracy	0.01596665172363414	#s(approx (/ 6 (- (* x x) 3)) (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x))
accuracy	0.06640625	(/.f64 (/.f64 (+.f64 (/.f64 #s(literal 18 binary64) (*.f64 x x)) #s(literal 6 binary64)) x) x)
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	0.7494891097177289	(/.f64 #s(literal 18 binary64) (*.f64 x x))
accuracy	0.013513404760301944	#s(approx (pow (+ (* x x) -3) -1) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x))
accuracy	0.09375	(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x)
accuracy	0.12109375	(/.f64 #s(literal 1/6 binary64) #s(approx (pow (+ (* x x) -3) -1) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x)))
accuracy	0.6673731954892476	(/.f64 #s(literal 3 binary64) (*.f64 x x))
accuracy	0.12109375	(.f64 #s(literal 1/6 binary64) #s(approx (- ( x x) 3) (*.f64 x x)))
accuracy	0.15138627930532605	(.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (.f64 x x)))) (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (*.f64 x x)))))
accuracy	0.20228378720671375	#s(approx (- (* x x) 3) (*.f64 x x))
accuracy	17.2443635763847	(sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- ( x x) 3) (*.f64 x x))))

Samples

57.0ms	145×	0	valid
23.0ms	111×	0	invalid

Compiler

Compiled 321 to 52 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

ival-div: 44.0ms (67.3% of total)

ival-mult: 5.0ms (7.6% of total)

const: 5.0ms (7.6% of total)

ival-pow: 4.0ms (6.1% of total)

ival-sub: 3.0ms (4.6% of total)

ival-add: 2.0ms (3.1% of total)

ival-sqrt: 2.0ms (3.1% of total)

exact: 1.0ms (1.5% of total)

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

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

series17.0ms (0.4%)

Memory

-13.9MiB live, 23.1MiB allocated

Counts

14 → 168

Calls

Call 1

Inputs
#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (.f64 x x)))) (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (.f64 x x))))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- ( x x) 3) (.f64 x x)))) (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (*.f64 x x))))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- ( x x) 3) (.f64 x x)))) (patch (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (*.f64 x x)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 1/6 binary64) #s(approx (- ( x x) 3) (.f64 x x))) (patch (.f64 #s(literal 1/6 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 1/6 binary64) #s(approx (pow (+ (* x x) -3) -1) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1 binary64)) x) x))) (patch (/.f64 #s(literal 1/6 binary64) #s(approx (pow (+ ( x x) -3) -1) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x))) #<representation binary64>) () ())
#s(alt #s(approx (pow (+ (* x x) -3) -1) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1 binary64)) x) x)) (patch #s(approx (pow (+ ( x x) -3) -1) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x)) #<representation binary64>) () ())
#s(alt (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1 binary64)) x) x) (patch (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1 binary64)) x) x) #<representation binary64>) () ())
#s(alt (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal 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 3 binary64) (.f64 x x)) (patch (/.f64 #s(literal 3 binary64) (.f64 x 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
#s(alt (* -3 (pow (sqrt 1/6) 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (.f64 x x)))) (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (.f64 x x))))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- ( x x) 3) (.f64 x x)))) (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (*.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (pow (sqrt 1/6) 2)) (* (pow x 2) (pow (sqrt 1/6) 2))) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (.f64 x x)))) (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (.f64 x x))))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- ( x x) 3) (.f64 x x)))) (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (*.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (pow (sqrt 1/6) 2)) (* (pow x 2) (pow (sqrt 1/6) 2))) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (.f64 x x)))) (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (.f64 x x))))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- ( x x) 3) (.f64 x x)))) (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (*.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (+ (* -3 (pow (sqrt 1/6) 2)) (* (pow x 2) (pow (sqrt 1/6) 2))) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (.f64 x x)))) (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (.f64 x x))))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- ( x x) 3) (.f64 x x)))) (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (*.f64 x x))))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt -3) (sqrt 1/6)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- ( x x) 3) (.f64 x x)))) (patch (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* 1/2 (/ (* (pow x 2) (sqrt 1/6)) (sqrt -3))) (* (sqrt -3) (sqrt 1/6))) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- ( x x) 3) (.f64 x x)))) (patch (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt -3) (sqrt 1/6)) (* (pow x 2) (+ (* -1/8 (/ (* (pow x 2) (sqrt 1/6)) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 1/6) (sqrt -3)))))) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- ( x x) 3) (.f64 x x)))) (patch (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (+ (* (sqrt -3) (sqrt 1/6)) (* (pow x 2) (+ (* 1/2 (/ (sqrt 1/6) (sqrt -3))) (* (pow x 2) (+ (* -1/8 (/ (sqrt 1/6) (pow (sqrt -3) 3))) (* 1/16 (/ (* (pow x 2) (sqrt 1/6)) (pow (sqrt -3) 5)))))))) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- ( x x) 3) (.f64 x x)))) (patch (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (*.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt -1/2 (taylor 0 x) (#s(alt (.f64 #s(literal 1/6 binary64) #s(approx (- ( x x) 3) (.f64 x x))) (patch (.f64 #s(literal 1/6 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 1/6 binary64) #s(approx (- ( x x) 3) (.f64 x x))) (patch (.f64 #s(literal 1/6 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 1/6 binary64) #s(approx (- ( x x) 3) (.f64 x x))) (patch (.f64 #s(literal 1/6 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 1/6 binary64) #s(approx (- ( x x) 3) (.f64 x x))) (patch (.f64 #s(literal 1/6 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 1/6 binary64) #s(approx (pow (+ (* x x) -3) -1) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1 binary64)) x) x))) (patch (/.f64 #s(literal 1/6 binary64) #s(approx (pow (+ ( x x) -3) -1) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/6 binary64) #s(approx (pow (+ (* x x) -3) -1) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1 binary64)) x) x))) (patch (/.f64 #s(literal 1/6 binary64) #s(approx (pow (+ ( x x) -3) -1) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/6 binary64) #s(approx (pow (+ (* x x) -3) -1) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1 binary64)) x) x))) (patch (/.f64 #s(literal 1/6 binary64) #s(approx (pow (+ ( x x) -3) -1) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x))) #<representation binary64>) () ())) ())
#s(alt (- (* 1/6 (pow x 2)) 1/2) (taylor 0 x) (#s(alt (/.f64 #s(literal 1/6 binary64) #s(approx (pow (+ (* x x) -3) -1) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1 binary64)) x) x))) (patch (/.f64 #s(literal 1/6 binary64) #s(approx (pow (+ ( x x) -3) -1) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x))) #<representation binary64>) () ())) ())
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#s(alt (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1 binary64)) x) x) (patch (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2)) (taylor -inf x) (#s(alt (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1 binary64)) x) x) (patch (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1 binary64)) x) x) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 3 (/ 1 (pow x 2)))) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 3 (/ 1 (pow x 2)))) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (/ (+ 1 (* 3 (/ 1 (pow x 2)))) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1 binary64)) x) (patch (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (.f64 x x)) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 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 (/ 3 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 3 binary64) (.f64 x x)) (patch (/.f64 #s(literal 3 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 3 binary64) (.f64 x x)) (patch (/.f64 #s(literal 3 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 3 binary64) (.f64 x x)) (patch (/.f64 #s(literal 3 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (/ 3 (pow x 2)) (taylor -inf x) (#s(alt (/.f64 #s(literal 3 binary64) (.f64 x x)) (patch (/.f64 #s(literal 3 binary64) (.f64 x x)) #<representation binary64>) () ())) ())
#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

3.0ms

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

3.0ms

inf

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

2.0ms

-inf

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

simplify171.0ms (3.9%)

Memory

5.4MiB live, 193.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	167	1578
1	368	1422
2	1030	1422
3	2793	1393
4	6410	1385
0	8367	1304

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

Inputs
(* -3 (pow (sqrt 1/6) 2))
(+ (* -3 (pow (sqrt 1/6) 2)) (* (pow x 2) (pow (sqrt 1/6) 2)))
(+ (* -3 (pow (sqrt 1/6) 2)) (* (pow x 2) (pow (sqrt 1/6) 2)))
(+ (* -3 (pow (sqrt 1/6) 2)) (* (pow x 2) (pow (sqrt 1/6) 2)))
(* (sqrt -3) (sqrt 1/6))
(+ (* 1/2 (/ (* (pow x 2) (sqrt 1/6)) (sqrt -3))) (* (sqrt -3) (sqrt 1/6)))
(+ (* (sqrt -3) (sqrt 1/6)) (* (pow x 2) (+ (* -1/8 (/ (* (pow x 2) (sqrt 1/6)) (pow (sqrt -3) 3))) (* 1/2 (/ (sqrt 1/6) (sqrt -3))))))
(+ (* (sqrt -3) (sqrt 1/6)) (* (pow x 2) (+ (* 1/2 (/ (sqrt 1/6) (sqrt -3))) (* (pow x 2) (+ (* -1/8 (/ (sqrt 1/6) (pow (sqrt -3) 3))) (* 1/16 (/ (* (pow x 2) (sqrt 1/6)) (pow (sqrt -3) 5))))))))
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
-3
(- (pow x 2) 3)
(- (pow x 2) 3)
(- (pow x 2) 3)
-1/2
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
(- (* 1/6 (pow x 2)) 1/2)
-1/3
(- (* -1/9 (pow x 2)) 1/3)
(- (* (pow x 2) (- (* -1/27 (pow x 2)) 1/9)) 1/3)
(- (* (pow x 2) (- (* (pow x 2) (- (* -1/81 (pow x 2)) 1/27)) 1/9)) 1/3)
(/ 3 (pow x 4))
(/ (+ 3 (pow x 2)) (pow x 4))
(/ (+ 3 (pow x 2)) (pow x 4))
(/ (+ 3 (pow x 2)) (pow x 4))
(/ 3 (pow x 3))
(/ (+ 3 (pow x 2)) (pow x 3))
(/ (+ 3 (pow x 2)) (pow x 3))
(/ (+ 3 (pow x 2)) (pow x 3))
-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))
(/ 3 (pow x 2))
(/ 3 (pow x 2))
(/ 3 (pow x 2))
(/ 3 (pow x 2))
(/ 18 (pow x 2))
(/ 18 (pow x 2))
(/ 18 (pow x 2))
(/ 18 (pow x 2))
(* (pow x 2) (pow (sqrt 1/6) 2))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(* x (sqrt 1/6))
(* x (+ (sqrt 1/6) (* -3/2 (/ (sqrt 1/6) (pow x 2)))))
(* x (+ (sqrt 1/6) (+ (* -3/2 (/ (sqrt 1/6) (pow x 2))) (* -9/8 (/ (sqrt 1/6) (pow x 4))))))
(* x (+ (sqrt 1/6) (+ (* -27/16 (/ (sqrt 1/6) (pow x 6))) (+ (* -3/2 (/ (sqrt 1/6) (pow x 2))) (* -9/8 (/ (sqrt 1/6) (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)))))
(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 (pow x 2))
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/ 1 x)
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) x)
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) x)
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) x)
(* 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)
(/ 3 (pow x 2))
(/ 3 (pow x 2))
(/ 3 (pow x 2))
(/ 3 (pow x 2))
(/ 18 (pow x 2))
(/ 18 (pow x 2))
(/ 18 (pow x 2))
(/ 18 (pow x 2))
(* (pow x 2) (pow (sqrt 1/6) 2))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(* (pow x 2) (+ (* -3 (/ (pow (sqrt 1/6) 2) (pow x 2))) (pow (sqrt 1/6) 2)))
(* -1 (* x (sqrt 1/6)))
(* -1 (* x (+ (sqrt 1/6) (* -3/2 (/ (sqrt 1/6) (pow x 2))))))
(* -1 (* x (+ (sqrt 1/6) (+ (* -3/2 (/ (sqrt 1/6) (pow x 2))) (* -9/8 (/ (sqrt 1/6) (pow x 4)))))))
(* -1 (* x (+ (sqrt 1/6) (+ (* -27/16 (/ (sqrt 1/6) (pow x 6))) (+ (* -3/2 (/ (sqrt 1/6) (pow x 2))) (* -9/8 (/ (sqrt 1/6) (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)))))
(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 (pow x 2))
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (/ 9 (pow x 4)))) (pow x 2))
(/ (+ 1 (+ (* 3 (/ 1 (pow x 2))) (+ (* 27 (/ 1 (pow x 6))) (/ 9 (pow x 4))))) (pow x 2))
(/ 1 (pow x 2))
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) (pow x 2))
(/ 1 x)
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) x)
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) x)
(/ (+ 1 (* 3 (/ 1 (pow x 2)))) x)
(* 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)
(/ 3 (pow x 2))
(/ 3 (pow x 2))
(/ 3 (pow x 2))
(/ 3 (pow x 2))
(/ 18 (pow x 2))
(/ 18 (pow x 2))
(/ 18 (pow x 2))
(/ 18 (pow x 2))

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

rewrite162.0ms (3.7%)

Memory

16.1MiB live, 223.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	187
0	45	173
1	190	173
2	1212	173
0	8630	157

Stop Event

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

Counts

14 → 456

Calls

Call 1

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

Outputs
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eval91.0ms (2.1%)

Memory: -1.2MiB live, 153.3MiB allocated
Compiler: Compiled 13 357 to 2 226 computations (83.3% saved)

prune21.0ms (0.5%)

Memory

-24.1MiB live, 51.8MiB allocated

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	726	2	728
Fresh	0	0	0
Picked	3	0	3
Done	0	8	8
Total	729	10	739

Accuracy

100.0%

Counts

739 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
✓	99.8%	(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
✓	99.8%	(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
✓	57.4%	(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
✓	57.3%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (- (* x x) 3) (*.f64 x x))))
	57.4%	(/.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)))
✓	99.8%	(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))))
	57.2%	(/.f64 #s(literal 1/6 binary64) #s(approx (pow (+ (* x x) -3) -1) (/.f64 #s(approx (/ (- (/ 3 (* x x)) -1) x) (/.f64 #s(literal 1 binary64) x)) x)))
✓	57.3%	(.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 1/6 binary64))
✓	43.4%	#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))

Compiler

Compiled 263 to 137 computations (47.9% saved)

regimes25.0ms (0.6%)

Memory

-1.0MiB live, 37.7MiB allocated

Counts

22 → 1

Calls

Call 1

Inputs
#s(approx (/ (- (* x x) 3) 6) #s(literal -1/2 binary64))
#s(approx (/ (- (* x x) 3) 6) (.f64 #s(literal 1/6 binary64) (.f64 x x)))
(.f64 #s(approx (- ( x x) 3) (*.f64 x x)) #s(literal 1/6 binary64))
(fma.f64 (*.f64 x #s(literal 1/6 binary64)) x #s(literal -1/2 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/6 binary64) #s(literal -1/2 binary64))
(/.f64 #s(approx (- (* x x) 3) (*.f64 x x)) #s(literal 6 binary64))
(/.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal 6 binary64))
(fma.f64 (/.f64 x #s(literal 6 binary64)) x #s(literal -1/2 binary64))
(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) #s(approx (- (* x x) 3) (*.f64 x x))))
(/.f64 #s(literal 1/6 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 6 binary64) (fma.f64 x x #s(literal -3 binary64))))
(/.f64 #s(literal 1/6 binary64) #s(approx (pow (+ (* x x) -3) -1) (/.f64 #s(approx (/ (- (/ 3 (* x x)) -1) x) (/.f64 #s(literal 1 binary64) x)) 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)))
(.f64 (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (.f64 x x)))) (sqrt.f64 (.f64 #s(literal 1/6 binary64) #s(approx (- (* x x) 3) (*.f64 x x)))))
(/.f64 #s(literal 1/6 binary64) #s(approx (pow (+ (* x x) -3) -1) (/.f64 (/.f64 (-.f64 (/.f64 #s(literal 3 binary64) (*.f64 x x)) #s(literal -1 binary64)) x) x)))
(/.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 #s(literal 1/6 binary64) (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1 binary64)))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 9 binary64)) (*.f64 (fma.f64 x x #s(literal 3 binary64)) #s(literal 6 binary64)))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal -3 binary64))) (*.f64 (pow.f64 (fma.f64 x x #s(literal -3 binary64)) #s(literal -1/2 binary64)) #s(literal 6 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 3 binary64)) (/.f64 x (fma.f64 x x #s(literal 3 binary64))) (neg.f64 (/.f64 #s(literal 9 binary64) (fma.f64 x x #s(literal 3 binary64))))) #s(literal 6 binary64))
(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
6.0ms	(*.f64 x x)
5.0ms	(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))
5.0ms	(-.f64 (*.f64 x x) #s(literal 3 binary64))

Results

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes11.0ms (0.2%)

Memory

19.5MiB live, 19.5MiB allocated

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes10.0ms (0.2%)

Memory

18.2MiB live, 18.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.8%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.8%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes10.0ms (0.2%)

Memory

-30.1MiB live, 14.3MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.8%	1	`x`
99.8%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.8%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.8%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes7.0ms (0.2%)

Memory

13.1MiB live, 13.1MiB allocated

Counts

3 → 2

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
99.1%	2	`x`
99.1%	2	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
99.1%	2	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
99.1%	2	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

regimes5.0ms (0.1%)

Memory

11.0MiB live, 11.0MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
43.4%	1	`x`
43.4%	1	`(/.f64 (-.f64 (*.f64 x x) #s(literal 3 binary64)) #s(literal 6 binary64))`
43.4%	1	`(-.f64 (*.f64 x x) #s(literal 3 binary64))`
43.4%	1	`(*.f64 x x)`

Compiler

Compiled 16 to 13 computations (18.8% saved)

bsearch13.0ms (0.3%)

Memory

-22.1MiB live, 16.8MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	0.0008465844398829473	64004024.3861936

Samples

5.0ms

160×

valid

Compiler

Compiled 70 to 100 computations (-42.9% saved)

Precisions

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

ival-sub: 1.0ms (43% of total)

ival-div: 1.0ms (43% of total)

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

exact: 0.0ms (0% of total)

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

simplify22.0ms (0.5%)

Memory

2.7MiB live, 41.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	61
1	24	61

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness608.0ms (13.9%)

Memory

27.8MiB live, 340.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	162
1	43	162
2	98	162
3	236	162
4	759	162
5	1590	162
6	2334	162
7	3514	162
8	4236	162
9	5345	162
10	6402	162
11	7126	162
0	8039	144
0	20	65
0	29	60
1	114	60
2	585	60
3	5231	60
0	8093	60
0	6	15
0	9	15
1	42	15
2	230	15
3	1831	15
0	8685	13

Stop Event

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

Compiler

Compiled 111 to 73 computations (34.2% saved)

preprocess91.0ms (2.1%)

Memory: -12.4MiB live, 69.6MiB allocated
Remove: (abs x)
Compiler: Compiled 118 to 70 computations (40.7% 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%)

sample728.0ms (16.7%)

explain115.0ms (2.6%)

preprocess22.0ms (0.5%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify3.0ms (0.1%)

localize21.0ms (0.5%)

series4.0ms (0.1%)

simplify121.0ms (2.8%)

rewrite459.0ms (10.5%)

eval143.0ms (3.3%)

prune30.0ms (0.7%)

simplify26.0ms (0.6%)

localize62.0ms (1.4%)

series6.0ms (0.1%)

simplify200.0ms (4.6%)

rewrite153.0ms (3.5%)

eval144.0ms (3.3%)

prune80.0ms (1.8%)

simplify7.0ms (0.2%)

localize56.0ms (1.3%)

series7.0ms (0.2%)

simplify125.0ms (2.9%)

rewrite153.0ms (3.5%)

eval167.0ms (3.8%)

prune27.0ms (0.6%)

simplify143.0ms (3.3%)

localize97.0ms (2.2%)

series17.0ms (0.4%)

simplify171.0ms (3.9%)

rewrite162.0ms (3.7%)

eval91.0ms (2.1%)

prune21.0ms (0.5%)

regimes25.0ms (0.6%)

regimes11.0ms (0.2%)

regimes10.0ms (0.2%)

regimes10.0ms (0.2%)

regimes7.0ms (0.2%)

regimes5.0ms (0.1%)

bsearch13.0ms (0.3%)

simplify22.0ms (0.5%)

soundness608.0ms (13.9%)

preprocess91.0ms (2.1%)

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