Metrics for sqrt D (should all be same)

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory

0.3MiB live, 0.3MiB 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 8 to 7 computations (12.5% saved)

sample690.0ms (5.7%)

Memory

17.8MiB live, 809.5MiB allocated

Samples

389.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 241.0ms

ival-pow2: 115.0ms (47.8% of total)

ival-sqrt: 58.0ms (24.1% of total)

ival-mult: 55.0ms (22.9% of total)

ival-true: 5.0ms (2.1% of total)

exact: 5.0ms (2.1% of total)

ival-assert: 3.0ms (1.2% of total)

Bogosity

explain98.0ms (0.8%)

Memory

6.3MiB live, 123.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
136	-	5	(-1.8354179084186429e-159)	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
0	-	0	-	`(pow.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`	oflow-rescue	81	0
↳	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`	overflow	81
↳	`(pow.f64 x #s(literal 2 binary64))`	overflow	81
`sqrt.f64`	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`	uflow-rescue	50	0
↳	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`	underflow	50
↳	`(pow.f64 x #s(literal 2 binary64))`	underflow	50

Confusion

	Predicted +	Predicted -
+	131	5
-	0	120

Precision

1.0

Recall

0.9632352941176471

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	131	0	5
-	0	0	120

Precision?

1.0

Recall?

0.9632352941176471

Freqs

test

number	freq
0	125
1	131

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

60.0ms

512×

valid

Compiler

Compiled 58 to 24 computations (58.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

ival-pow2: 41.0ms (85.2% of total)

ival-mult: 3.0ms (6.2% of total)

ival-sqrt: 3.0ms (6.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess61.0ms (0.5%)

Memory

-21.4MiB live, 30.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	15	13
2	34	13
3	123	13
4	246	13
5	270	13
6	280	13
0	5	6
0	8	6
1	10	6
2	14	6
3	16	6
0	16	6

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Outputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

Memory: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	51.6%	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Memory

5.5MiB live, 5.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
cost-diff	6144	(pow.f64 x #s(literal 2 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	10	16
2	14	16
3	16	16
0	16	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
x

Outputs
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
(.f64 (.f64 x x) #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
x

localize20.0ms (0.2%)

Memory

4.0MiB live, 41.7MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 x #s(literal 2 binary64))
accuracy	0.01171875	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
accuracy	30.917287524695293	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Samples

15.0ms

256×

valid

Compiler

Compiled 34 to 12 computations (64.7% saved)

Precisions

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

ival-pow2: 3.0ms (41.2% of total)

ival-mult: 2.0ms (27.4% of total)

ival-sqrt: 2.0ms (27.4% 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%)

Memory

8.7MiB live, 8.7MiB allocated

Counts

3 → 36

Calls

Call 1

Inputs
#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (patch (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())

Inputs

#s(alt (pow.f64 x #s(literal 2 binary64)) (patch (pow.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())

#s(alt (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) (patch (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))) #<representation binary64>) () ())

#s(alt (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) (patch (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))) #<representation binary64>) () ())

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

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((pow x 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)))
1.0ms	x	@	0	((pow x 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)))
1.0ms	x	@	-inf	((pow x 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)))

simplify5.0ms (0%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	148
1	15	148
2	32	148
3	38	148
4	42	148
5	54	148
6	66	148
7	77	148
8	97	148
9	102	148
0	102	148

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

Inputs
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))

Outputs
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 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)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))

rewrite124.0ms (1%)

Memory

-6.5MiB live, 112.8MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	22	12
2	57	12
3	186	12
4	765	4
5	6179	4
0	9030	4

Stop Event

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

Counts

3 → 46

Calls

Call 1

Inputs
(pow.f64 x #s(literal 2 binary64))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))

Outputs
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval22.0ms (0.2%)

Memory: -24.1MiB live, 12.8MiB allocated
Compiler: Compiled 592 to 123 computations (79.2% saved)

prune4.0ms (0%)

Memory

8.0MiB live, 8.0MiB allocated

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	78	4	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	4	83

Accuracy

99.5%

Counts

83 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	49.1%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	51.6%	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
▶	5.3%	(sqrt.f64 #s(literal 2 binary64))
▶	52.2%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 19 to 19 computations (0% saved)

simplify6.0ms (0.1%)

Memory

4.2MiB live, 4.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 11 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff	0	(*.f64 x x)
cost-diff	0	#s(approx (pow x 2) (*.f64 x x))
cost-diff	0	(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))
cost-diff	0	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(neg.f64 x)
cost-diff	0	(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	65
0	21	65
1	31	65
2	44	65
3	56	65
4	62	65
5	73	65
6	98	65
7	107	65
8	113	65
9	113	65
0	113	65

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 x)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))
#s(literal 2 binary64)
#s(approx (pow x 2) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x

Outputs
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(neg.f64 x)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
(sqrt.f64 (.f64 #s(approx (pow x 2) (.f64 x x)) #s(literal 2 binary64)))
(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))
(.f64 #s(approx (pow x 2) (.f64 x x)) #s(literal 2 binary64))
#s(literal 2 binary64)
#s(approx (pow x 2) (*.f64 x x))
(*.f64 x x)
x
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x

localize36.0ms (0.3%)

Memory

14.8MiB live, 51.3MiB allocated

Localize:

Found 11 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.45703125	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	0	(*.f64 x x)
accuracy	0	#s(approx (pow x 2) (*.f64 x x))
accuracy	0.01171875	(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))
accuracy	30.917287524695293	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0	(neg.f64 x)
accuracy	0.45703125	(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
accuracy	30.343376665679536	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Samples

28.0ms

256×

valid

Compiler

Compiled 99 to 23 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 14.0ms

ival-mult: 6.0ms (41.8% of total)

ival-sqrt: 3.0ms (20.9% of total)

ival-pow2: 3.0ms (20.9% of total)

ival-assert: 1.0ms (7% of total)

ival-neg: 1.0ms (7% of total)

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

exact: 0.0ms (0% of total)

series5.0ms (0%)

Memory

12.6MiB live, 12.6MiB allocated

Counts

9 → 96

Calls

Call 1

Inputs
#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) (patch (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) #<representation binary64>) () ())
#s(alt #s(approx (pow x 2) (.f64 x x)) (patch #s(approx (pow x 2) (.f64 x x)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())

Outputs
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) (patch (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) (patch (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) (patch (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) (patch (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (pow x 2) (.f64 x x)) (patch #s(approx (pow x 2) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (pow x 2) (.f64 x x)) (patch #s(approx (pow x 2) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (pow x 2) (.f64 x x)) (patch #s(approx (pow x 2) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor 0 x) (#s(alt #s(approx (pow x 2) (.f64 x x)) (patch #s(approx (pow x 2) (.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 (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor inf x) (#s(alt (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor inf x) (#s(alt (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor inf x) (#s(alt (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor inf x) (#s(alt (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) (patch (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) (patch (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) (patch (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) (patch (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (pow x 2) (.f64 x x)) (patch #s(approx (pow x 2) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (pow x 2) (.f64 x x)) (patch #s(approx (pow x 2) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (pow x 2) (.f64 x x)) (patch #s(approx (pow x 2) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor inf x) (#s(alt #s(approx (pow x 2) (.f64 x x)) (patch #s(approx (pow x 2) (.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 (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) (patch (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) (patch (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) (patch (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor -inf x) (#s(alt (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) (patch (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (pow x 2) (.f64 x x)) (patch #s(approx (pow x 2) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (pow x 2) (.f64 x x)) (patch #s(approx (pow x 2) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (pow x 2) (.f64 x x)) (patch #s(approx (pow x 2) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (pow x 2) (taylor -inf x) (#s(alt #s(approx (pow x 2) (.f64 x x)) (patch #s(approx (pow x 2) (.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 (* x (sqrt 2)) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	((sqrt (* 2 (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (* x x) (* (sqrt 2) x))
1.0ms	x	@	-inf	((sqrt (* 2 (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (* x x) (* (sqrt 2) x))
1.0ms	x	@	0	((sqrt (* 2 (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (* x x) (* (sqrt 2) x))

Time

Variable

Point

Expression

1.0ms

inf

((sqrt (* 2 (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (* x x) (* (sqrt 2) x))

1.0ms

-inf

((sqrt (* 2 (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (* x x) (* (sqrt 2) x))

1.0ms

((sqrt (* 2 (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt 2) (sqrt (* 2 (pow x 2))) (* 2 (pow x 2)) (pow x 2) (* x x) (* (sqrt 2) x))

simplify8.0ms (0.1%)

Memory

-22.9MiB live, 14.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	368
1	17	368
2	33	368
3	38	368
4	46	368
5	57	368
6	68	368
7	90	368
8	101	368
9	101	368
0	101	368

Stop Event

1×	iter limit
1×	saturated

Counts

96 → 96

Calls

Call 1

Inputs
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))

Outputs
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 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)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 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)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 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)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

rewrite109.0ms (0.9%)

Memory

-4.1MiB live, 154.0MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	54
0	21	55
1	46	53
2	112	53
3	469	53
4	3776	49
0	8385	49

Stop Event

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

Counts

9 → 835

Calls

Call 1

Inputs
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 x)
(sqrt.f64 #s(literal 2 binary64))
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
(.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x)))
#s(approx (pow x 2) (*.f64 x x))
(*.f64 x x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Outputs
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eval138.0ms (1.1%)

Memory: 36.8MiB live, 191.8MiB allocated
Compiler: Compiled 11 639 to 1 619 computations (86.1% saved)

prune42.0ms (0.3%)

Memory

-37.9MiB live, 83.9MiB allocated

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	955	10	965
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	955	14	969

Accuracy

100.0%

Counts

969 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	28.0%	(pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64))
	24.7%	(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
	49.1%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
	49.0%	(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x)
▶	32.1%	(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
▶	52.2%	(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
▶	48.2%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	49.1%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
	50.0%	(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))))
✓	51.6%	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
✓	5.3%	(sqrt.f64 #s(literal 2 binary64))
▶	52.2%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
	52.1%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
✓	52.2%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 193 to 167 computations (13.5% saved)

simplify16.0ms (0.1%)

Memory

30.8MiB live, 30.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
cost-diff	0	(pow.f64 x #s(literal 3/2 binary64))
cost-diff	0	(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
cost-diff	0	(pow.f64 x #s(literal -1 binary64))
cost-diff	0	(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	7040	(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
cost-diff	-5504	(.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x))
cost-diff	0	(*.f64 x x)
cost-diff	0	(.f64 (.f64 x x) #s(literal 4 binary64))
cost-diff	0	(pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
cost-diff	0	(neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
cost-diff	0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
cost-diff	0	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
cost-diff	6784	(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	30	134
0	49	134
1	77	128
2	130	113
3	194	113
4	247	113
5	307	113
6	414	113
7	499	113
8	520	113
9	576	113
10	598	113
0	598	113

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
x
(neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 x)
(pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64))
(.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x))
(.f64 (.f64 x x) #s(literal 4 binary64))
(*.f64 x x)
x
#s(literal 4 binary64)
#s(literal 1/4 binary64)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
#s(literal -1 binary64)
(pow.f64 x #s(literal -1 binary64))
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 x)

Outputs
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (neg.f64 x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(*.f64 x (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
#s(literal 4 binary64)
#s(literal 1/8 binary64)
x
(neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(sqrt.f64 x)
(pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 4 binary64))
(.f64 (.f64 x x) #s(literal 4 binary64))
(*.f64 x x)
x
#s(literal 4 binary64)
#s(literal 1/4 binary64)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x)))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
(neg.f64 x)
#s(literal -1 binary64)
(pow.f64 x #s(literal -1 binary64))
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal 3/2 binary64)))
(pow.f64 x #s(literal 3/2 binary64))
x
#s(literal 3/2 binary64)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 x)

localize87.0ms (0.7%)

Memory

-22.5MiB live, 138.6MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0	(sqrt.f64 x)
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.2421875	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
accuracy	10.42237632191259	(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.09765625	(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
accuracy	0.21484375	(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
accuracy	30.343376665679536	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0	(*.f64 x x)
accuracy	0.01171875	(.f64 (.f64 x x) #s(literal 4 binary64))
accuracy	0.06640625	(.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x))
accuracy	21.821255236868204	(pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64))
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
accuracy	0	(sqrt.f64 x)
accuracy	0.1484375	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
accuracy	0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
accuracy	0	(neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
accuracy	0.09375	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
accuracy	0.13671875	(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))

Samples

32.0ms	124×	0	valid
31.0ms	132×	0	invalid

Compiler

Compiled 255 to 58 computations (77.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

ival-pow: 16.0ms (35.4% of total)

ival-mult: 14.0ms (31% of total)

ival-sqrt: 6.0ms (13.3% of total)

ival-pow2: 4.0ms (8.9% of total)

ival-div: 3.0ms (6.6% of total)

exact: 1.0ms (2.2% of total)

ival-neg: 1.0ms (2.2% of total)

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

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

series99.0ms (0.8%)

Memory

22.9MiB live, 100.4MiB allocated

Counts

20 → 204

Calls

Call 1

Inputs
#s(alt (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) (patch (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation binary64>) () ())
#s(alt (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (patch (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #<representation binary64>) () ())
#s(alt (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) (patch (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 x x) #s(literal 4 binary64)) (patch (.f64 (.f64 x x) #s(literal 4 binary64)) #<representation binary64>) () ())
#s(alt (.f64 x x) (patch (.f64 x x) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) (patch (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) (patch (.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (* (pow 4 1/4) x)) (taylor 0 x) (#s(alt (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) (patch (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 4 1/4) x)) (taylor 0 x) (#s(alt (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) (patch (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 4 1/4) x)) (taylor 0 x) (#s(alt (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) (patch (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 4 1/4) x)) (taylor 0 x) (#s(alt (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) (patch (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) x) (taylor 0 x) (#s(alt (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) x) (taylor 0 x) (#s(alt (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) x) (taylor 0 x) (#s(alt (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) x) (taylor 0 x) (#s(alt (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (patch (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/4) x) (taylor 0 x) (#s(alt (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/4) x) (taylor 0 x) (#s(alt (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/4) x) (taylor 0 x) (#s(alt (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/4) x) (taylor 0 x) (#s(alt (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 4 binary64)) (patch (.f64 (.f64 x x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 4 binary64)) (patch (.f64 (.f64 x x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 4 binary64)) (patch (.f64 (.f64 x x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 x x) #s(literal 4 binary64)) (patch (.f64 (.f64 x x) #s(literal 4 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 (* 4 (pow x 4)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) (patch (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 4)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) (patch (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 4)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) (patch (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 4)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) (patch (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) (patch (.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) (patch (.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) (patch (.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) (patch (.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (sqrt (pow x 3)) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (sqrt 2)) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (sqrt 2)) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (sqrt 2)) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (sqrt 2)) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 4 1/4) x)) (taylor inf x) (#s(alt (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) (patch (.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 4 1/4) x)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 4 1/4) x)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 4 1/4) x)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 4 1/4) x)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) (patch (pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 4 binary64)) (patch (.f64 (.f64 x x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 4 binary64)) (patch (.f64 (.f64 x x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 4 binary64)) (patch (.f64 (.f64 x x) #s(literal 4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 2)) (taylor -inf x) (#s(alt (.f64 (.f64 x x) #s(literal 4 binary64)) (patch (.f64 (.f64 x x) #s(literal 4 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 (* 4 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) (patch (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) (patch (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) (patch (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* 4 (pow x 4)) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) (patch (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) (patch (.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) (patch (.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) (patch (.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) (patch (.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (pow x 3)) (pow (sqrt -1) 2)) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 3/2 binary64)) (patch (pow.f64 x #s(literal 3/2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (sqrt 2)) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (sqrt 2)) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (sqrt 2)) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt (/ 1 x)) (sqrt 2)) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

45.0ms

((* (* (pow 4 1/8) x) (neg (pow 4 1/8))) (* (pow 4 1/8) x) (pow 4 1/8) (neg (pow 4 1/8)) (* (sqrt (* 2 x)) (sqrt x)) (sqrt (* 2 x)) (* 2 x) (sqrt x) (pow (* (* (* x x) 4) (* x x)) 1/4) (* (* x x) 4) (* x x) (* (* (* x x) 4) (* x x)) (/ -1 (pow x -1)) (sqrt (* 2 (pow x 2))) (* (/ -1 (pow x -1)) (sqrt 2)) (pow x -1) (* (pow x 3/2) (/ (sqrt 2) (sqrt x))) (pow x 3/2) (/ (sqrt 2) (sqrt x)) (sqrt 2))

38.0ms

inf

((* (* (pow 4 1/8) x) (neg (pow 4 1/8))) (* (pow 4 1/8) x) (pow 4 1/8) (neg (pow 4 1/8)) (* (sqrt (* 2 x)) (sqrt x)) (sqrt (* 2 x)) (* 2 x) (sqrt x) (pow (* (* (* x x) 4) (* x x)) 1/4) (* (* x x) 4) (* x x) (* (* (* x x) 4) (* x x)) (/ -1 (pow x -1)) (sqrt (* 2 (pow x 2))) (* (/ -1 (pow x -1)) (sqrt 2)) (pow x -1) (* (pow x 3/2) (/ (sqrt 2) (sqrt x))) (pow x 3/2) (/ (sqrt 2) (sqrt x)) (sqrt 2))

12.0ms

-inf

((* (* (pow 4 1/8) x) (neg (pow 4 1/8))) (* (pow 4 1/8) x) (pow 4 1/8) (neg (pow 4 1/8)) (* (sqrt (* 2 x)) (sqrt x)) (sqrt (* 2 x)) (* 2 x) (sqrt x) (pow (* (* (* x x) 4) (* x x)) 1/4) (* (* x x) 4) (* x x) (* (* (* x x) 4) (* x x)) (/ -1 (pow x -1)) (sqrt (* 2 (pow x 2))) (* (/ -1 (pow x -1)) (sqrt 2)) (pow x -1) (* (pow x 3/2) (/ (sqrt 2) (sqrt x))) (pow x 3/2) (/ (sqrt 2) (sqrt x)) (sqrt 2))

simplify313.0ms (2.6%)

Memory

-4.8MiB live, 68.3MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	41	928
1	83	916
2	182	912
3	314	912
4	557	912
5	892	912
6	1449	912
7	1654	912
8	1750	912
9	1843	912
10	2189	912
11	2517	912
12	2593	912
13	2623	912
14	2633	912
15	2635	912
16	2635	912
17	2635	912
18	2681	912
19	3139	912
20	4657	912
21	5020	912
22	5284	912
23	5408	912
24	5414	912
25	5414	912
26	5414	912
27	5414	912
28	5510	912
29	5550	912
30	5550	912
31	5920	912
32	6406	912
33	6522	912
34	6592	912
35	6622	912
36	6622	912
37	6622	912
38	7271	912
0	7271	912

Stop Event

1×	iter limit
1×	saturated

Counts

204 → 204

Calls

Call 1

Inputs
(* -1 (* (pow 4 1/4) x))
(* -1 (* (pow 4 1/4) x))
(* -1 (* (pow 4 1/4) x))
(* -1 (* (pow 4 1/4) x))
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* (sqrt (/ 1 x)) (sqrt 2))
(* (sqrt (/ 1 x)) (sqrt 2))
(* (sqrt (/ 1 x)) (sqrt 2))
(* (sqrt (/ 1 x)) (sqrt 2))
(* -1 (* (pow 4 1/4) x))
(* -1 (* (pow 4 1/4) x))
(* -1 (* (pow 4 1/4) x))
(* -1 (* (pow 4 1/4) x))
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(sqrt (pow x 3))
(* (sqrt (/ 1 x)) (sqrt 2))
(* (sqrt (/ 1 x)) (sqrt 2))
(* (sqrt (/ 1 x)) (sqrt 2))
(* (sqrt (/ 1 x)) (sqrt 2))
(* -1 (* (pow 4 1/4) x))
(* -1 (* (pow 4 1/4) x))
(* -1 (* (pow 4 1/4) x))
(* -1 (* (pow 4 1/4) x))
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* (pow 4 1/8) x)
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (pow 4 1/4) x))
(* -1 (* (pow 4 1/4) x))
(* -1 (* (pow 4 1/4) x))
(* -1 (* (pow 4 1/4) x))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(* 4 (pow x 2))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* 4 (pow x 4))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(* (sqrt (/ 1 x)) (sqrt 2))
(* (sqrt (/ 1 x)) (sqrt 2))
(* (sqrt (/ 1 x)) (sqrt 2))
(* (sqrt (/ 1 x)) (sqrt 2))

Outputs
(* -1 (* (pow 4 1/4) x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (neg.f64 x))
(* -1 (* (pow 4 1/4) x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (neg.f64 x))
(* -1 (* (pow 4 1/4) x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (neg.f64 x))
(* -1 (* (pow 4 1/4) x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (neg.f64 x))
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 4 (pow x 4))
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(* 4 (pow x 4))
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(* 4 (pow x 4))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 4 (pow x 4))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 x)
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(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
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(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(* (sqrt (/ 1 x)) (sqrt 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (/ 1 x)) (sqrt 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (/ 1 x)) (sqrt 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (/ 1 x)) (sqrt 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (pow 4 1/4) x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (neg.f64 x))
(* -1 (* (pow 4 1/4) x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (neg.f64 x))
(* -1 (* (pow 4 1/4) x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (neg.f64 x))
(* -1 (* (pow 4 1/4) x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (neg.f64 x))
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* (pow 4 1/4) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) x)
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 4 (pow x 4))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 4 (pow x 4))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 4 (pow x 4))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 4 (pow x 4))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(sqrt (pow x 3))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(* (sqrt (/ 1 x)) (sqrt 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (/ 1 x)) (sqrt 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (/ 1 x)) (sqrt 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (/ 1 x)) (sqrt 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (pow 4 1/4) x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (neg.f64 x))
(* -1 (* (pow 4 1/4) x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (neg.f64 x))
(* -1 (* (pow 4 1/4) x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (neg.f64 x))
(* -1 (* (pow 4 1/4) x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (neg.f64 x))
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* (pow 4 1/8) x)
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 x))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 x))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 x))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (neg.f64 x))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))) (sqrt.f64 x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (pow 4 1/4) x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (neg.f64 x))
(* -1 (* (pow 4 1/4) x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (neg.f64 x))
(* -1 (* (pow 4 1/4) x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (neg.f64 x))
(* -1 (* (pow 4 1/4) x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)) (neg.f64 x))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(* 4 (pow x 2))
(.f64 #s(literal 4 binary64) (.f64 x x))
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(pow x 2)
(*.f64 x x)
(* 4 (pow x 4))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 4 (pow x 4))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 4 (pow x 4))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* 4 (pow x 4))
(*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 4 binary64)))
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
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(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* (sqrt (pow x 3)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(* (sqrt (/ 1 x)) (sqrt 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (/ 1 x)) (sqrt 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (/ 1 x)) (sqrt 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt (/ 1 x)) (sqrt 2))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))

rewrite189.0ms (1.6%)

Memory

16.5MiB live, 205.3MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	116
0	49	120
1	138	112
2	465	83
3	2620	76
0	8594	76

Stop Event

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

Counts

20 → 2 063

Calls

Call 1

Inputs
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
(neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(sqrt.f64 x)
(pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64))
(.f64 (.f64 x x) #s(literal 4 binary64))
(*.f64 x x)
(.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x))
(/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 x #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
(pow.f64 x #s(literal 3/2 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x))
(sqrt.f64 #s(literal 2 binary64))

Outputs
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eval325.0ms (2.7%)

Memory: 4.1MiB live, 535.5MiB allocated
Compiler: Compiled 32 910 to 4 040 computations (87.7% saved)

prune77.0ms (0.6%)

Memory

-39.4MiB live, 201.1MiB allocated

Pruning

14 alts after pruning (9 fresh and 5 done)

	Pruned	Kept	Total
New	2 529	7	2 536
Fresh	3	2	5
Picked	4	1	5
Done	0	4	4
Total	2 536	14	2 550

Accuracy

100.0%

Counts

2 550 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.0%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
▶	24.7%	(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
▶	49.1%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
	52.2%	(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64)))
	49.1%	(/.f64 x (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))
▶	52.3%	(/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))))
▶	48.2%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
✓	48.2%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	49.1%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	51.6%	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
✓	5.3%	(sqrt.f64 #s(literal 2 binary64))
▶	52.2%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
	49.0%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
✓	52.2%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 176 to 157 computations (10.8% saved)

simplify136.0ms (1.1%)

Memory

23.3MiB live, 135.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(pow.f64 x #s(literal -1 binary64))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	6848	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
cost-diff	0	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
cost-diff	1408	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
cost-diff	0	(sqrt.f64 #s(literal 2 binary64))
cost-diff	0	(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
cost-diff	0	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
cost-diff	7040	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
cost-diff	0	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
cost-diff	0	(*.f64 #s(literal 2 binary64) x)
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) x) x)
cost-diff	640	(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
cost-diff	0	(pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))
cost-diff	0	(neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))
cost-diff	0	(/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	126
0	46	112
1	78	105
2	153	103
3	251	103
4	472	103
5	1419	103
6	2148	103
7	2837	103
8	4039	103
9	5362	103
0	8324	103

Stop Event

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

Calls

Call 1

Inputs
(/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))))
x
(neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))
(pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))
#s(literal 256 binary64)
#s(literal -1/16 binary64)
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)

Outputs
(/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))))
(/.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))
x
(neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))
(pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))
#s(literal 256 binary64)
#s(literal -1/16 binary64)
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(.f64 (.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
(neg.f64 x)
#s(literal -1 binary64)
(/.f64 #s(literal 1 binary64) x)
(pow.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
x
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
x
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(sqrt.f64 x)
#s(literal -1 binary64)
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(sqrt.f64 x)
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 x #s(literal -1 binary64))
x
#s(literal -1 binary64)

localize95.0ms (0.8%)

Memory

17.0MiB live, 136.1MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(pow.f64 x #s(literal -1 binary64))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.2265625	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
accuracy	0	(sqrt.f64 x)
accuracy	0.125	(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
accuracy	0.140625	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
accuracy	0.1484375	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.09765625	(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
accuracy	0.21484375	(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
accuracy	30.343376665679536	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.21484375	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	15.904599435066615	(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
accuracy	0	(pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))
accuracy	0	(neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))
accuracy	0.21875	(/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))))

Samples

46.0ms	124×	0	valid
28.0ms	132×	0	invalid

Compiler

Compiled 239 to 54 computations (77.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-div: 22.0ms (43.5% of total)

ival-mult: 9.0ms (17.8% of total)

ival-pow: 9.0ms (17.8% of total)

ival-sqrt: 6.0ms (11.9% of total)

ival-pow2: 2.0ms (4% of total)

exact: 1.0ms (2% of total)

ival-neg: 1.0ms (2% of total)

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

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

series87.0ms (0.7%)

Memory

-19.5MiB live, 55.5MiB allocated

Counts

18 → 180

Calls

Call 1

Inputs
#s(alt (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) (patch (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) #<representation binary64>) () ())
#s(alt (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))) (patch (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)) (patch (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (patch (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 2 binary64) x) x) (patch (.f64 (.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())
#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())
#s(alt (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())
#s(alt (sqrt.f64 #s(literal 2 binary64)) (patch (sqrt.f64 #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())
#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())
#s(alt (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())

Outputs
#s(alt (* -1 (* (pow 256 1/16) x)) (taylor 0 x) (#s(alt (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) (patch (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 256 1/16) x)) (taylor 0 x) (#s(alt (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) (patch (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 256 1/16) x)) (taylor 0 x) (#s(alt (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) (patch (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 256 1/16) x)) (taylor 0 x) (#s(alt (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) (patch (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (sqrt 2))) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (patch (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (sqrt 2))) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (patch (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (sqrt 2))) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (patch (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (/ x (sqrt 2))) (taylor 0 x) (#s(alt (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) (patch (/.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (.f64 (sqrt.f64 #s(literal 2 binary64)) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) x) x) (patch (.f64 (.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) x) x) (patch (.f64 (.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) x) x) (patch (.f64 (.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) x) x) (patch (.f64 (.f64 #s(literal 2 binary64) x) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 #s(literal 2 binary64) x) (patch (.f64 #s(literal 2 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 #s(literal 2 binary64)) x) (patch (.f64 (sqrt.f64 #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor 0 x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor 0 x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (sqrt (/ 1 x))) (taylor 0 x) (#s(alt (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
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#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt #s(approx (sqrt (* 2 (pow x 2))) (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) (patch #s(approx (sqrt ( 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (sqrt 2))) (taylor -inf x) (#s(alt (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) (patch (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) (patch (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (patch (sqrt.f64 (.f64 #s(literal 2 binary64) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor -inf x) (#s(alt (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))) (patch (/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64))) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (/ 1 x) (taylor -inf x) (#s(alt (pow.f64 x #s(literal -1 binary64)) (patch (pow.f64 x #s(literal -1 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (sqrt (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (sqrt (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (sqrt (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (sqrt (/ 1 x))) (taylor -inf x) (#s(alt (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) (patch (/.f64 #s(literal -1 binary64) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())

Calls

3 calls:

Time

Variable

Point

Expression

52.0ms

-inf

((/ x (neg (pow 256 -1/16))) (neg (pow 256 -1/16)) (pow 256 -1/16) (/ (* (* 2 x) x) (* (sqrt 2) x)) (* (* 2 x) x) (* 2 x) (* (sqrt 2) x) (/ -1 (/ 1 x)) (sqrt (* 2 (pow x 2))) (* (/ -1 (/ 1 x)) (sqrt 2)) (sqrt 2) (/ -1 (/ -1 (sqrt x))) (* (sqrt (* 2 x)) (/ -1 (/ -1 (sqrt x)))) (sqrt (* 2 x)) (/ (sqrt 2) (pow x -1)) (pow x -1) (/ -1 (sqrt x)) (sqrt x))

21.0ms

((/ x (neg (pow 256 -1/16))) (neg (pow 256 -1/16)) (pow 256 -1/16) (/ (* (* 2 x) x) (* (sqrt 2) x)) (* (* 2 x) x) (* 2 x) (* (sqrt 2) x) (/ -1 (/ 1 x)) (sqrt (* 2 (pow x 2))) (* (/ -1 (/ 1 x)) (sqrt 2)) (sqrt 2) (/ -1 (/ -1 (sqrt x))) (* (sqrt (* 2 x)) (/ -1 (/ -1 (sqrt x)))) (sqrt (* 2 x)) (/ (sqrt 2) (pow x -1)) (pow x -1) (/ -1 (sqrt x)) (sqrt x))

8.0ms

inf

((/ x (neg (pow 256 -1/16))) (neg (pow 256 -1/16)) (pow 256 -1/16) (/ (* (* 2 x) x) (* (sqrt 2) x)) (* (* 2 x) x) (* 2 x) (* (sqrt 2) x) (/ -1 (/ 1 x)) (sqrt (* 2 (pow x 2))) (* (/ -1 (/ 1 x)) (sqrt 2)) (sqrt 2) (/ -1 (/ -1 (sqrt x))) (* (sqrt (* 2 x)) (/ -1 (/ -1 (sqrt x)))) (sqrt (* 2 x)) (/ (sqrt 2) (pow x -1)) (pow x -1) (/ -1 (sqrt x)) (sqrt x))

simplify312.0ms (2.6%)

Memory

27.9MiB live, 145.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 28 (0.0ms)

Iter	Nodes	Cost
0	34	756
1	74	756
2	167	756
3	297	756
4	541	756
5	873	756
6	1497	756
7	1649	756
8	1747	756
9	1938	756
10	2333	756
11	2853	756
12	2920	756
13	2946	756
14	2955	756
15	2955	756
16	2955	756
17	2989	756
18	3745	756
19	4716	756
20	5334	756
21	5410	756
22	5436	756
23	5456	756
24	6377	756
25	6595	756
26	6761	756
27	6921	756
28	6997	752
29	7410	752
0	8242	752

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

Calls

Call 1

Inputs
(* -1 (* (pow 256 1/16) x))
(* -1 (* (pow 256 1/16) x))
(* -1 (* (pow 256 1/16) x))
(* -1 (* (pow 256 1/16) x))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (pow 256 1/16) x))
(* -1 (* (pow 256 1/16) x))
(* -1 (* (pow 256 1/16) x))
(* -1 (* (pow 256 1/16) x))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* (sqrt x) (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* -1 (* (pow 256 1/16) x))
(* -1 (* (pow 256 1/16) x))
(* -1 (* (pow 256 1/16) x))
(* -1 (* (pow 256 1/16) x))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (/ x (sqrt 2)))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 (pow x 2))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 x)
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* x (sqrt 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(* x (sqrt 2))
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (sqrt (/ 1 x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Outputs
(* -1 (* (pow 256 1/16) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* -1 (* (pow 256 1/16) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* -1 (* (pow 256 1/16) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* -1 (* (pow 256 1/16) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (pow 256 1/16) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* -1 (* (pow 256 1/16) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* -1 (* (pow 256 1/16) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* -1 (* (pow 256 1/16) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
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(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* (sqrt x) (sqrt 2))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* -1 (* (pow 256 1/16) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* -1 (* (pow 256 1/16) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* -1 (* (pow 256 1/16) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* -1 (* (pow 256 1/16) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (/ x (sqrt 2)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 (pow x 2))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* x (sqrt 2)))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(*.f64 (/.f64 x (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)))
(* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 x)))
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* x (sqrt 2))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (sqrt (/ 1 x)))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)

rewrite172.0ms (1.4%)

Memory

-30.7MiB live, 129.4MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	101
0	46	82
1	148	73
2	628	73
0	3892	73

Stop Event

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

Counts

18 → 761

Calls

Call 1

Inputs
(/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))))
(neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))
(pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(.f64 (.f64 #s(literal 2 binary64) x) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64)))
(sqrt.f64 #s(literal 2 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) x))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 x #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (sqrt.f64 x))
(sqrt.f64 x)

Outputs
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eval133.0ms (1.1%)

Memory: 38.9MiB live, 226.1MiB allocated
Compiler: Compiled 11 846 to 1 847 computations (84.4% saved)

prune39.0ms (0.3%)

Memory

-25.2MiB live, 96.2MiB allocated

Pruning

12 alts after pruning (6 fresh and 6 done)

	Pruned	Kept	Total
New	1 051	5	1 056
Fresh	3	1	4
Picked	4	1	5
Done	0	5	5
Total	1 058	12	1 070

Accuracy

100.0%

Counts

1 070 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.0%	(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
	49.1%	(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
	49.1%	(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
✓	52.3%	(/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))))
✓	48.2%	(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
✓	49.1%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	51.6%	(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
✓	5.3%	(sqrt.f64 #s(literal 2 binary64))
	52.2%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x)))
	52.2%	#s(approx (sqrt (* 2 (pow x 2))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
	52.0%	#s(approx (sqrt (* 2 (pow x 2))) (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))))
✓	52.2%	#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 305 to 165 computations (45.9% saved)

regimes37.0ms (0.3%)

Memory

17.3MiB live, 88.0MiB allocated

Counts

27 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))))
(/.f64 x (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))
(/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (.f64 (.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 x x)) #s(literal 1/4 binary64))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal -1 binary64)))
(/.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) (pow.f64 x #s(literal -1 binary64)))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) #s(approx (pow x 2) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64)) x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (pow.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x) (neg.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))

Outputs
(/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))

Calls

4 calls:

12.0ms	x
9.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
7.0ms	(pow.f64 x #s(literal 2 binary64))
7.0ms	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
99.5%	2	`x`
76.6%	3	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
76.6%	3	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
76.6%	3	`(pow.f64 x #s(literal 2 binary64))`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes6.0ms (0%)

Memory

15.2MiB live, 15.2MiB allocated

Counts

16 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) x)))
(/.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) x))
(/.f64 (.f64 (.f64 #s(literal 2 binary64) x) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 2))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))
(/.f64 (-.f64 #s(literal 0 binary64) (.f64 (.f64 x x) #s(literal 2 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sqrt.f64 x))))
#s(approx (sqrt (* 2 (pow x 2))) (.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal -1 binary64) (.f64 x (/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))))))
(/.f64 x (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))

Outputs
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x))

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
99.4%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes3.0ms (0%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

5 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 (.f64 #s(literal 2 binary64) #s(approx (pow x 2) (.f64 x x))))
(/.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))

Outputs
#s(approx (sqrt (* 2 (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
99.3%	2	`x`

Compiler

Compiled 1 to 1 computations (0% saved)

regimes11.0ms (0.1%)

Memory

-17.7MiB live, 26.8MiB allocated

Counts

2 → 2

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Outputs
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)

Calls

4 calls:

6.0ms	x
2.0ms	(pow.f64 x #s(literal 2 binary64))
2.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
1.0ms	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))

Results

Accuracy	Segments	Branch
49.1%	1	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
49.1%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
49.1%	1	`(pow.f64 x #s(literal 2 binary64))`
51.0%	2	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

regimes7.0ms (0.1%)

Memory

-13.3MiB live, 25.7MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(sqrt.f64 #s(literal 2 binary64))

Outputs
(sqrt.f64 #s(literal 2 binary64))

Calls

4 calls:

3.0ms	(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))
1.0ms	(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))
1.0ms	x
1.0ms	(pow.f64 x #s(literal 2 binary64))

Results

Accuracy	Segments	Branch
5.3%	1	`(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64))))`
5.3%	1	`(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 2 binary64)))`
5.3%	1	`(pow.f64 x #s(literal 2 binary64))`
5.3%	1	`x`

Compiler

Compiled 15 to 13 computations (13.3% saved)

bsearch17.0ms (0.1%)

Memory

13.5MiB live, 52.3MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-4.252624157703212e-300	1.590120046070411e-296

Samples

9.0ms

176×

valid

Compiler

Compiled 152 to 163 computations (-7.2% saved)

Precisions

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

ival-mult: 2.0ms (35.4% of total)

ival-pow2: 2.0ms (35.4% of total)

ival-sqrt: 1.0ms (17.7% of total)

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

exact: 0.0ms (0% of total)

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

bsearch1.0ms (0%)

Memory

2.4MiB live, 2.4MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-4.252624157703212e-300	1.590120046070411e-296

Compiler

Compiled 152 to 163 computations (-7.2% saved)

bsearch1.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
1.0ms	-4.252624157703212e-300	1.590120046070411e-296

Compiler

Compiled 119 to 141 computations (-18.5% saved)

bsearch16.0ms (0.1%)

Memory

-13.3MiB live, 24.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-1.4901132750022548e-205	-1.2478440540013778e-218

Samples

9.0ms

160×

valid

Compiler

Compiled 69 to 99 computations (-43.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-pow2: 2.0ms (50% of total)

ival-mult: 1.0ms (25% of total)

ival-sqrt: 1.0ms (25% of total)

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

exact: 0.0ms (0% of total)

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

simplify32.0ms (0.3%)

Memory

-14.8MiB live, 42.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	72
1	41	72
2	53	72
3	61	72
4	65	72
5	66	72

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)))
(if (<=.f64 x #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)))
(if (<=.f64 x #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(if (<=.f64 x #s(literal -7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 #s(literal 2 binary64))

Outputs
(if (<=.f64 x #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 x (neg.f64 (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64)))) (.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)))
(if (<=.f64 x #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (neg.f64 x) (pow.f64 #s(literal 256 binary64) #s(literal -1/16 binary64))) (.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) x)) (sqrt.f64 x)))
(if (<=.f64 x #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))) (.f64 (sqrt.f64 x) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(if (<=.f64 x #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (sqrt (* 2 (pow x 2))) (.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))) (.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(if (<=.f64 x #s(literal -7229475734293037/180736893357325919804742965901096183254486650358500961579737723575212405143116703993975930943694719806137463391890175780999890999416217020648099397663164550811570949854893831716648452639533025774320471006645409943407034368 binary64)) (sqrt.f64 #s(literal 2 binary64)) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(sqrt.f64 #s(literal 2 binary64))

soundness8.5s (69.8%)

Memory

24.9MiB live, 433.8MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	116
0	49	120
1	138	112
2	465	83
3	2620	76
0	8594	76
0	14	54
0	21	55
1	46	53
2	112	53
3	469	53
4	3776	49
0	8385	49
0	5	14
0	8	14
1	22	12
2	57	12
3	186	12
4	765	4
5	6179	4
0	9030	4
0	8	148
1	15	148
2	32	148
3	38	148
4	42	148
5	54	148
6	66	148
7	77	148
8	97	148
9	102	148
0	102	148

Stop Event

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

Compiler

Compiled 96 to 53 computations (44.8% saved)

preprocess63.0ms (0.5%)

Memory: -12.3MiB live, 49.5MiB allocated
Compiler: Compiled 132 to 56 computations (57.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	15
1	15	13
2	34	13
3	123	13
4	246	13
5	270	13
6	280	13
0	5	6
0	8	6
1	10	6
2	14	6
3	16	6
0	16	6

Iter	Nodes	Cost
0	8	148
1	15	148
2	32	148
3	38	148
4	42	148
5	54	148
6	66	148
7	77	148
8	97	148
9	102	148
0	102	148

Iter	Nodes	Cost
0	14	65
0	21	65
1	31	65
2	44	65
3	56	65
4	62	65
5	73	65
6	98	65
7	107	65
8	113	65
9	113	65
0	113	65

Iter	Nodes	Cost
0	9	368
1	17	368
2	33	368
3	38	368
4	46	368
5	57	368
6	68	368
7	90	368
8	101	368
9	101	368
0	101	368

Iter	Nodes	Cost
0	30	134
0	49	134
1	77	128
2	130	113
3	194	113
4	247	113
5	307	113
6	414	113
7	499	113
8	520	113
9	576	113
10	598	113
0	598	113

Iter	Nodes	Cost
0	7	15
1	15	13
2	34	13
3	123	13
4	246	13
5	270	13
6	280	13
0	5	6
0	8	6
1	10	6
2	14	6
3	16	6
0	16	6

Iter	Nodes	Cost
0	8	148
1	15	148
2	32	148
3	38	148
4	42	148
5	54	148
6	66	148
7	77	148
8	97	148
9	102	148
0	102	148

Iter	Nodes	Cost
0	14	65
0	21	65
1	31	65
2	44	65
3	56	65
4	62	65
5	73	65
6	98	65
7	107	65
8	113	65
9	113	65
0	113	65

Iter	Nodes	Cost
0	9	368
1	17	368
2	33	368
3	38	368
4	46	368
5	57	368
6	68	368
7	90	368
8	101	368
9	101	368
0	101	368

Iter	Nodes	Cost
0	30	134
0	49	134
1	77	128
2	130	113
3	194	113
4	247	113
5	307	113
6	414	113
7	499	113
8	520	113
9	576	113
10	598	113
0	598	113

start0.0ms (0%)

analyze0.0ms (0%)

sample690.0ms (5.7%)

explain98.0ms (0.8%)

preprocess61.0ms (0.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize20.0ms (0.2%)

series4.0ms (0%)

simplify5.0ms (0%)

rewrite124.0ms (1%)

eval22.0ms (0.2%)

prune4.0ms (0%)

simplify6.0ms (0.1%)

localize36.0ms (0.3%)

series5.0ms (0%)

simplify8.0ms (0.1%)

rewrite109.0ms (0.9%)

eval138.0ms (1.1%)

prune42.0ms (0.3%)

simplify16.0ms (0.1%)

localize87.0ms (0.7%)

series99.0ms (0.8%)

simplify313.0ms (2.6%)

rewrite189.0ms (1.6%)

eval325.0ms (2.7%)

prune77.0ms (0.6%)

simplify136.0ms (1.1%)

localize95.0ms (0.8%)

series87.0ms (0.7%)

simplify312.0ms (2.6%)

rewrite172.0ms (1.4%)

eval133.0ms (1.1%)

prune39.0ms (0.3%)

regimes37.0ms (0.3%)

regimes6.0ms (0%)

regimes3.0ms (0%)

regimes11.0ms (0.1%)

regimes7.0ms (0.1%)

bsearch17.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch16.0ms (0.1%)

simplify32.0ms (0.3%)

soundness8.5s (69.8%)

preprocess63.0ms (0.5%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	15
1	15	13
2	34	13
3	123	13
4	246	13
5	270	13
6	280	13
0	5	6
0	8	6
1	10	6
2	14	6
3	16	6
0	16	6

Iter	Nodes	Cost
0	8	148
1	15	148
2	32	148
3	38	148
4	42	148
5	54	148
6	66	148
7	77	148
8	97	148
9	102	148
0	102	148

Iter	Nodes	Cost
0	14	65
0	21	65
1	31	65
2	44	65
3	56	65
4	62	65
5	73	65
6	98	65
7	107	65
8	113	65
9	113	65
0	113	65

Iter	Nodes	Cost
0	9	368
1	17	368
2	33	368
3	38	368
4	46	368
5	57	368
6	68	368
7	90	368
8	101	368
9	101	368
0	101	368

Iter	Nodes	Cost
0	30	134
0	49	134
1	77	128
2	130	113
3	194	113
4	247	113
5	307	113
6	414	113
7	499	113
8	520	113
9	576	113
10	598	113
0	598	113