Metrics for sqrt B (should all be same)

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
100%	100%	0%	0%	0%	0%	0%	2

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample1.4s (23.3%)

Memory

-6.2MiB live, 865.0MiB allocated

Samples

1.1s

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 909.0ms

ival-mult: 819.0ms (90.1% of total)

ival-sqrt: 75.0ms (8.3% of total)

ival-true: 6.0ms (0.7% of total)

exact: 5.0ms (0.6% of total)

ival-assert: 3.0ms (0.3% of total)

Bogosity

explain94.0ms (1.6%)

Memory

7.1MiB live, 57.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
137	-	3	(-1.998012020345881e-159)	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(.f64 (.f64 #s(literal 2 binary64) x) x)`
0	-	0	-	`(*.f64 #s(literal 2 binary64) x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`	oflow-rescue	77	0
↳	`(.f64 (.f64 #s(literal 2 binary64) x) x)`	overflow	77
`sqrt.f64`	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`	uflow-rescue	57	0
↳	`(.f64 (.f64 #s(literal 2 binary64) x) x)`	underflow	57

Confusion

	Predicted +	Predicted -
+	134	3
-	0	119

Precision

1.0

Recall

0.9781021897810219

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	134	0	3
-	0	0	119

Precision?

1.0

Recall?

0.9781021897810219

Freqs

test

number	freq
0	122
1	134

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

22.0ms

512×

valid

Compiler

Compiled 42 to 19 computations (54.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 12.0ms

ival-mult: 7.0ms (60.2% of total)

ival-sqrt: 4.0ms (34.4% of total)

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

exact: 0.0ms (0% of total)

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

preprocess18.0ms (0.3%)

Memory

15.0MiB live, 15.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	21	13
2	62	13
3	149	13
4	214	13
5	231	13
6	233	13
0	5	6
0	8	6
1	12	6
2	13	6
0	13	6

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 6 to 5 computations (16.7% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	50.8%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify3.0ms (0%)

Memory

2.7MiB live, 2.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	16
0	8	16
1	12	16
2	13	16
0	13	16

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize47.0ms (0.8%)

Memory

-12.1MiB live, 25.2MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0	(.f64 (.f64 #s(literal 2 binary64) x) x)
accuracy	0	(*.f64 #s(literal 2 binary64) x)
accuracy	31.4752443157986	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Samples

43.0ms

256×

valid

Compiler

Compiled 18 to 7 computations (61.1% saved)

Precisions

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

ival-mult: 4.0ms (61.6% of total)

ival-sqrt: 2.0ms (30.8% of total)

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

exact: 0.0ms (0% of total)

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

series4.0ms (0.1%)

Memory

14.0MiB live, 14.0MiB allocated

Counts

3 → 36

Calls

Call 1

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

Inputs

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

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

Calls

3 calls:

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

simplify7.0ms (0.1%)

Memory

-22.4MiB live, 16.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	148
1	17	148
2	32	148
3	36	148
4	40	148
5	52	148
6	64	148
7	75	148
8	95	148
9	100	148
0	100	148

Stop Event

1×	iter limit
1×	saturated

Counts

36 → 36

Calls

Call 1

Inputs
(* 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))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 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))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 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))
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 x)

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)
(* 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)
(* 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)
(* -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))
(* 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)

rewrite130.0ms (2.2%)

Memory

20.6MiB live, 177.1MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	5	14
0	8	14
1	17	14
2	38	13
3	92	12
4	338	12
5	2074	12
0	8672	12

Stop Event

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

Counts

3 → 118

Calls

Call 1

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

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>
#<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>
#<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>

eval18.0ms (0.3%)

Memory: -4.3MiB live, 34.3MiB allocated
Compiler: Compiled 1 927 to 352 computations (81.7% saved)

prune20.0ms (0.3%)

Memory

-12.5MiB live, 33.5MiB allocated

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	146	8	154
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	146	9	155

Accuracy

100.0%

Counts

155 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.3%	(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
▶	99.4%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
	99.2%	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
	68.7%	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
▶	99.3%	(.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))
▶	99.5%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
▶	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
	50.7%	(sqrt.f64 (.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)))
✓	50.8%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 152 to 127 computations (16.4% saved)

simplify5.0ms (0.1%)

Memory

6.4MiB live, 6.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	112
0	38	112
1	51	108
2	61	108
3	63	108
0	63	108

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize68.0ms (1.1%)

Memory

8.5MiB live, 124.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.00390625	(pow.f64 x #s(literal 3/4 binary64))
accuracy	0.0078125	(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))
accuracy	0.30859375	(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
accuracy	0.390625	(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
accuracy	0	(pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))
accuracy	0.25390625	(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
accuracy	0.30859375	(.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))
accuracy	0	(sqrt.f64 x)
accuracy	0.00390625	(pow.f64 x #s(literal 3/4 binary64))
accuracy	0.125	(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
accuracy	0.3671875	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
accuracy	0	(sqrt.f64 #s(literal 2 binary64))
accuracy	0.453125	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
accuracy	0	(*.f64 x #s(literal 2 binary64))
accuracy	0	(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
accuracy	0	(sqrt.f64 x)
accuracy	0.3427925293053261	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))

Samples

51.0ms

256×

valid

Compiler

Compiled 114 to 24 computations (78.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 14.0ms (39.3% of total)

ival-pow: 14.0ms (39.3% of total)

ival-sqrt: 7.0ms (19.6% of total)

exact: 1.0ms (2.8% of total)

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

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

series518.0ms (8.6%)

Memory

-27.6MiB live, 441.2MiB allocated

Counts

16 → 168

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
338.0ms	x	@	-inf	((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (* (pow (* x 2) 1/4) (* (pow x 3/4) (pow 4 1/8))) (pow (* x 2) 1/4) (* (pow x 3/4) (pow 4 1/8)))
128.0ms	x	@	0	((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (* (pow (* x 2) 1/4) (* (pow x 3/4) (pow 4 1/8))) (pow (* x 2) 1/4) (* (pow x 3/4) (pow 4 1/8)))
47.0ms	x	@	inf	((* (sqrt (* x 2)) (sqrt x)) (sqrt (* x 2)) (* x 2) (sqrt x) (* (sqrt 2) x) (sqrt 2) (* (pow x 3/4) (sqrt (* (sqrt x) 2))) (pow x 3/4) (sqrt (* (sqrt x) 2)) (* (sqrt x) 2) (* (pow 4 1/8) (* (pow 4 1/8) x)) (pow 4 1/8) (* (pow 4 1/8) x) (* (pow (* x 2) 1/4) (* (pow x 3/4) (pow 4 1/8))) (pow (* x 2) 1/4) (* (pow x 3/4) (pow 4 1/8)))

Time

Variable

Point

Expression

338.0ms

-inf

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

128.0ms

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

47.0ms

inf

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

simplify182.0ms (3%)

Memory

9.9MiB live, 122.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	968
1	178	968
2	472	952
3	1058	928
4	1425	928
5	1943	928
6	2890	928
7	3672	928
8	4371	928
9	5297	928
10	6368	928
11	7278	928
0	8156	928

Stop Event

1×	iter limit
1×	node limit

Counts

168 → 168

Calls

Call 1

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

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)
(* (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)
(* 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)
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* (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)
(* (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)
(* (pow 2 1/4) (* (pow 4 1/8) x))
(.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(* (pow 2 1/4) (* (pow 4 1/8) x))
(.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(* (pow 2 1/4) (* (pow 4 1/8) x))
(.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(* (pow 2 1/4) (* (pow 4 1/8) x))
(.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(exp (* 1/4 (+ (log 2) (log x))))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log 2) (log x))))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log 2) (log x))))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log 2) (log x))))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (pow 4 1/8))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (pow 4 1/8))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (pow 4 1/8))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (pow 4 1/8))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 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)
(* (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)
(* 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)
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64))
(pow (* 1 (pow x 3)) 1/4)
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 x) 1/4) (sqrt 2))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* (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)
(* (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)
(* (pow 2 1/4) (* (pow 4 1/8) x))
(.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(* (pow 2 1/4) (* (pow 4 1/8) x))
(.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(* (pow 2 1/4) (* (pow 4 1/8) x))
(.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(* (pow 2 1/4) (* (pow 4 1/8) x))
(.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(exp (* 1/4 (+ (log 2) (* -1 (log (/ 1 x))))))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log 2) (* -1 (log (/ 1 x))))))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log 2) (* -1 (log (/ 1 x))))))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log 2) (* -1 (log (/ 1 x))))))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (pow 4 1/8))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (pow 4 1/8))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (pow 4 1/8))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (pow 4 1/8))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -2 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (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 -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)
(* 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 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 11/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 11/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 11/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(* -1 (* (pow -1 1/4) (* (* x (sqrt 2)) (sqrt (sqrt -1)))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 11/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x))))))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* (pow (* -1 x) 1/4) (* (sqrt (sqrt -1)) (sqrt 2)))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 2 binary64))) (pow.f64 (neg.f64 x) #s(literal 1/4 binary64)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* (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)
(* (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 (* (pow 2 1/4) (* (pow 4 1/8) x)))
(neg.f64 (.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(* -1 (* (pow 2 1/4) (* (pow 4 1/8) x)))
(neg.f64 (.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(* -1 (* (pow 2 1/4) (* (pow 4 1/8) x)))
(neg.f64 (.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(* -1 (* (pow 2 1/4) (* (pow 4 1/8) x)))
(neg.f64 (.f64 (.f64 (pow.f64 #s(literal 1/2 binary64) #s(literal -1/4 binary64)) x) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(exp (* 1/4 (+ (log -2) (* -1 (log (/ -1 x))))))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -2) (* -1 (log (/ -1 x))))))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -2) (* -1 (log (/ -1 x))))))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -2) (* -1 (log (/ -1 x))))))
(pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))
(* (pow 4 1/8) (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(* (pow 4 1/8) (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(* (pow 4 1/8) (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))
(* (pow 4 1/8) (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)))

rewrite170.0ms (2.8%)

Memory

7.6MiB live, 162.9MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	85
0	38	73
1	84	73
2	239	63
3	1097	63
4	3972	63
0	8268	63

Stop Event

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

Counts

16 → 940

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(*.f64 x #s(literal 2 binary64))
(sqrt.f64 x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(pow.f64 x #s(literal 3/4 binary64))
(sqrt.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(.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))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) x)
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>
#<batchref>

eval296.0ms (4.9%)

Memory: -12.6MiB live, 300.9MiB allocated
Compiler: Compiled 18 308 to 1 707 computations (90.7% saved)

prune89.0ms (1.5%)

Memory

-3.7MiB live, 74.7MiB allocated

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1 283	5	1 288
Fresh	3	0	3
Picked	1	4	5
Done	0	1	1
Total	1 287	10	1 297

Accuracy

100.0%

Counts

1 297 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64))
▶	99.2%	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
✓	99.4%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
▶	68.7%	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))))
✓	99.3%	(.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))
▶	99.1%	(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
✓	99.5%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	50.7%	(sqrt.f64 (.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x))
✓	50.8%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 135 to 109 computations (19.3% saved)

simplify7.0ms (0.1%)

Memory

5.4MiB live, 5.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 #s(literal 4 binary64) x)
cost-diff	0	(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))
cost-diff	0	(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
cost-diff	6464	(pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))
cost-diff	0	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))
cost-diff	0	(pow.f64 x #s(literal 1/4 binary64))
cost-diff	0	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))))
cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
cost-diff	0	(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
cost-diff	0	(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
cost-diff	1600	(.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))
cost-diff	0	(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
cost-diff	0	(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)
cost-diff	0	(sqrt.f64 (.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x))
cost-diff	1600	(.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))
cost-diff	0	(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
cost-diff	0	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
cost-diff	6464	(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	28	158
0	48	162
1	65	158
2	100	128
3	123	128
4	140	128
5	157	128
6	159	128
0	159	128

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
#s(literal 256 binary64)
#s(literal 1/32 binary64)
#s(literal 2 binary64)
x
(sqrt.f64 (.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x))
(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)
(.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 x)
x
#s(literal 2 binary64)
(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 x)
x
#s(literal 2 binary64)
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))))
(pow.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)
(sqrt.f64 x)
(pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))
(*.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
x
#s(literal 1/8 binary64)
(pow.f64 x #s(literal 3/8 binary64))
#s(literal 3/8 binary64)
#s(literal 2 binary64)

Outputs
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(*.f64 x (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
(pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64))
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
#s(literal 256 binary64)
#s(literal 1/32 binary64)
#s(literal 2 binary64)
x
(sqrt.f64 (.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x))
(sqrt.f64 (.f64 (.f64 x x) #s(literal 2 binary64)))
(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)
(.f64 (.f64 x x) #s(literal 2 binary64))
(.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 x #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 x)
x
#s(literal 2 binary64)
(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
(sqrt.f64 (*.f64 x #s(literal 2 binary64)))
(.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))
(*.f64 x #s(literal 2 binary64))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 x)
x
#s(literal 2 binary64)
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) x)) (pow.f64 x #s(literal 1/4 binary64)))
(pow.f64 x #s(literal 1/4 binary64))
x
#s(literal 1/4 binary64)
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) x))
(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))
(.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) x)
(*.f64 #s(literal 2 binary64) x)
(*.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(sqrt.f64 x)
(pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(.f64 (pow.f64 x #s(literal 3/8 binary64)) (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))
(*.f64 #s(literal 4 binary64) x)
#s(literal 4 binary64)
x
#s(literal 1/8 binary64)
(pow.f64 x #s(literal 3/8 binary64))
#s(literal 3/8 binary64)
#s(literal 2 binary64)

localize84.0ms (1.4%)

Memory

13.4MiB live, 137.2MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(*.f64 #s(literal 4 binary64) x)
accuracy	0.2414346302730694	(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))
accuracy	0.34375	(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
accuracy	0.4879875488422101	(pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64))
accuracy	0	(sqrt.f64 x)
accuracy	0.15625	(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))
accuracy	0.3590812988422101	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))))
accuracy	20.421742330062028	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))
accuracy	0	(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
accuracy	0	(sqrt.f64 x)
accuracy	0.3427925293053261	(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
accuracy	0.4921875	(.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))
accuracy	0	(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
accuracy	0	(sqrt.f64 x)
accuracy	0.4921875	(.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))
accuracy	31.4752443157986	(sqrt.f64 (.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x))
accuracy	0	(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
accuracy	0.453125	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
accuracy	1.0	(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))

Samples

65.0ms

256×

valid

Compiler

Compiled 160 to 30 computations (81.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-pow: 23.0ms (46.5% of total)

ival-mult: 14.0ms (28.3% of total)

ival-sqrt: 6.0ms (12.1% of total)

ival-pow2: 5.0ms (10.1% of total)

exact: 1.0ms (2% of total)

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

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

series184.0ms (3%)

Memory

-7.5MiB live, 349.6MiB allocated

Counts

18 → 192

Calls

Call 1

Inputs
#s(alt (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())
#s(alt (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) (patch (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (patch (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) (patch (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) #<representation binary64>) () ())
#s(alt (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) (patch (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) (patch (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (patch (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (patch (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #<representation binary64>) () ())
#s(alt (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (patch (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #<representation binary64>) () ())
#s(alt (.f64 #s(literal 4 binary64) x) (patch (.f64 #s(literal 4 binary64) x) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())

Outputs
#s(alt (* (pow 256 1/16) x) (taylor 0 x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 256 1/16) x) (taylor 0 x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 256 1/16) x) (taylor 0 x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 256 1/16) x) (taylor 0 x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (patch (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (patch (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (patch (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor 0 x) (#s(alt (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (patch (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) (patch (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) (patch (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) (patch (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) (patch (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) (patch (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) (patch (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) (patch (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor 0 x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) (patch (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #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 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) (patch (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) (patch (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) (patch (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor 0 x) (#s(alt (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) (patch (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor 0 x) (#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor 0 x) (#s(alt (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (pow x 3))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (patch (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (pow x 3))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (patch (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (pow x 3))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (patch (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (pow x 3))) (taylor 0 x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (patch (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/4) x) (taylor 0 x) (#s(alt (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/4) x) (taylor 0 x) (#s(alt (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/4) x) (taylor 0 x) (#s(alt (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/4) x) (taylor 0 x) (#s(alt (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) (sqrt x)) (taylor 0 x) (#s(alt (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (patch (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) (sqrt x)) (taylor 0 x) (#s(alt (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (patch (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) (sqrt x)) (taylor 0 x) (#s(alt (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (patch (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) (sqrt x)) (taylor 0 x) (#s(alt (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (patch (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/8 (+ (log 4) (log x)))) (taylor 0 x) (#s(alt (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (patch (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/8 (+ (log 4) (log x)))) (taylor 0 x) (#s(alt (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (patch (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/8 (+ (log 4) (log x)))) (taylor 0 x) (#s(alt (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (patch (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/8 (+ (log 4) (log x)))) (taylor 0 x) (#s(alt (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (patch (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor 0 x) (#s(alt (.f64 #s(literal 4 binary64) x) (patch (.f64 #s(literal 4 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor 0 x) (#s(alt (.f64 #s(literal 4 binary64) x) (patch (.f64 #s(literal 4 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor 0 x) (#s(alt (.f64 #s(literal 4 binary64) x) (patch (.f64 #s(literal 4 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor 0 x) (#s(alt (.f64 #s(literal 4 binary64) x) (patch (.f64 #s(literal 4 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 256 1/16) x) (taylor inf x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 256 1/16) x) (taylor inf x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 256 1/16) x) (taylor inf x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 256 1/16) x) (taylor inf x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (patch (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (patch (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (patch (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 x) (taylor inf x) (#s(alt (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (patch (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) (patch (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) (patch (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) (patch (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) (patch (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) (patch (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) (patch (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) (patch (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (pow x 2)) (taylor inf x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) (patch (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt x)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (sqrt x) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) (patch (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) (patch (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) (patch (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* x (sqrt 2)) (taylor inf x) (#s(alt (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) (patch (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (pow (* 1 x) 1/4) (taylor inf x) (#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2)) (taylor inf x) (#s(alt (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (pow x 3))) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (patch (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (pow x 3))) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (patch (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (pow x 3))) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (patch (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* 2 (sqrt (pow x 3))) (taylor inf x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (patch (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/4) x) (taylor inf x) (#s(alt (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/4) x) (taylor inf x) (#s(alt (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/4) x) (taylor inf x) (#s(alt (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/4) x) (taylor inf x) (#s(alt (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) (sqrt x)) (taylor inf x) (#s(alt (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (patch (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) (sqrt x)) (taylor inf x) (#s(alt (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (patch (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) (sqrt x)) (taylor inf x) (#s(alt (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (patch (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* (pow 4 1/8) (sqrt x)) (taylor inf x) (#s(alt (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (patch (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/8 (+ (log 4) (* -1 (log (/ 1 x)))))) (taylor inf x) (#s(alt (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (patch (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/8 (+ (log 4) (* -1 (log (/ 1 x)))))) (taylor inf x) (#s(alt (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (patch (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/8 (+ (log 4) (* -1 (log (/ 1 x)))))) (taylor inf x) (#s(alt (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (patch (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/8 (+ (log 4) (* -1 (log (/ 1 x)))))) (taylor inf x) (#s(alt (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (patch (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor inf x) (#s(alt (.f64 #s(literal 4 binary64) x) (patch (.f64 #s(literal 4 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor inf x) (#s(alt (.f64 #s(literal 4 binary64) x) (patch (.f64 #s(literal 4 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor inf x) (#s(alt (.f64 #s(literal 4 binary64) x) (patch (.f64 #s(literal 4 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor inf x) (#s(alt (.f64 #s(literal 4 binary64) x) (patch (.f64 #s(literal 4 binary64) x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (sqrt x) (taylor inf x) (#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())) ())
#s(alt (* (pow 256 1/16) x) (taylor -inf x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 256 1/16) x) (taylor -inf x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 256 1/16) x) (taylor -inf x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* (pow 256 1/16) x) (taylor -inf x) (#s(alt (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) (patch (.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x) #<representation binary64>) () ())) ())
#s(alt (* -2 (* x (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (patch (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* x (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (patch (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* x (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (patch (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* x (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) (patch (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) (patch (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) (patch (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) (patch (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (sqrt -2) (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) (patch (sqrt.f64 (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) (patch (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) (patch (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) (patch (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (pow x 2) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) (patch (.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt x) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (patch (.f64 (sqrt.f64 x) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf x) (#s(alt (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) (patch (.f64 (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1))))) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) (patch (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1))))) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) (patch (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1))))) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) (patch (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1))))) (taylor -inf x) (#s(alt (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) (patch (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 x #s(literal 1/4 binary64)) (patch (pow.f64 x #s(literal 1/4 binary64)) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1)))) (taylor -inf x) (#s(alt (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (patch (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (patch (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (patch (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))) (taylor -inf x) (#s(alt (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (patch (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 4 1/4) x)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 4 1/4) x)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 4 1/4) x)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 4 1/4) x)) (taylor -inf x) (#s(alt (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) (patch (pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64)) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 4 1/8) (* (sqrt x) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (patch (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 4 1/8) (* (sqrt x) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (patch (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 4 1/8) (* (sqrt x) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (patch (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (* -1 (* (pow 4 1/8) (* (sqrt x) (sqrt -1)))) (taylor -inf x) (#s(alt (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) (patch (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/8 (+ (log -4) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (patch (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/8 (+ (log -4) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (patch (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/8 (+ (log -4) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (patch (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (exp (* 1/8 (+ (log -4) (* -1 (log (/ -1 x)))))) (taylor -inf x) (#s(alt (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (patch (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (.f64 #s(literal 4 binary64) x) (patch (.f64 #s(literal 4 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (.f64 #s(literal 4 binary64) x) (patch (.f64 #s(literal 4 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (.f64 #s(literal 4 binary64) x) (patch (.f64 #s(literal 4 binary64) x) #<representation binary64>) () ())) ())
#s(alt (* 4 x) (taylor -inf x) (#s(alt (.f64 #s(literal 4 binary64) x) (patch (.f64 #s(literal 4 binary64) 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

71.0ms

-inf

((pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (* (* (sqrt x) 2) (sqrt x)) (sqrt (* (* (* (sqrt x) 2) (sqrt x)) x)) (* (* (* (sqrt x) 2) (sqrt x)) x) (* (sqrt x) 2) (* (sqrt (* (* (sqrt x) 2) (sqrt x))) (sqrt x)) (sqrt (* (* (sqrt x) 2) (sqrt x))) (* (pow x 1/4) (sqrt (* (* 2 x) (sqrt x)))) (pow x 1/4) (sqrt (* (* 2 x) (sqrt x))) (* (* 2 x) (sqrt x)) (pow (* (pow (* 4 x) 1/8) (pow x 3/8)) 2) (* (pow (* 4 x) 1/8) (pow x 3/8)) (pow (* 4 x) 1/8) (* 4 x) (sqrt x))

60.0ms

((pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (* (* (sqrt x) 2) (sqrt x)) (sqrt (* (* (* (sqrt x) 2) (sqrt x)) x)) (* (* (* (sqrt x) 2) (sqrt x)) x) (* (sqrt x) 2) (* (sqrt (* (* (sqrt x) 2) (sqrt x))) (sqrt x)) (sqrt (* (* (sqrt x) 2) (sqrt x))) (* (pow x 1/4) (sqrt (* (* 2 x) (sqrt x)))) (pow x 1/4) (sqrt (* (* 2 x) (sqrt x))) (* (* 2 x) (sqrt x)) (pow (* (pow (* 4 x) 1/8) (pow x 3/8)) 2) (* (pow (* 4 x) 1/8) (pow x 3/8)) (pow (* 4 x) 1/8) (* 4 x) (sqrt x))

47.0ms

inf

((pow (pow 256 1/32) 2) (* (pow (pow 256 1/32) 2) x) (pow 256 1/32) (* (* (sqrt x) 2) (sqrt x)) (sqrt (* (* (* (sqrt x) 2) (sqrt x)) x)) (* (* (* (sqrt x) 2) (sqrt x)) x) (* (sqrt x) 2) (* (sqrt (* (* (sqrt x) 2) (sqrt x))) (sqrt x)) (sqrt (* (* (sqrt x) 2) (sqrt x))) (* (pow x 1/4) (sqrt (* (* 2 x) (sqrt x)))) (pow x 1/4) (sqrt (* (* 2 x) (sqrt x))) (* (* 2 x) (sqrt x)) (pow (* (pow (* 4 x) 1/8) (pow x 3/8)) 2) (* (pow (* 4 x) 1/8) (pow x 3/8)) (pow (* 4 x) 1/8) (* 4 x) (sqrt x))

simplify112.0ms (1.8%)

Memory

-11.4MiB live, 105.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	992
1	218	992
2	649	976
3	1375	952
4	2015	952
5	3444	952
6	5997	952
0	8052	952

Stop Event

1×	iter limit
1×	node limit

Counts

192 → 192

Calls

Call 1

Inputs
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 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))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (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))
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/8) (sqrt x))
(* (pow 4 1/8) (sqrt x))
(* (pow 4 1/8) (sqrt x))
(* (pow 4 1/8) (sqrt x))
(exp (* 1/8 (+ (log 4) (log x))))
(exp (* 1/8 (+ (log 4) (log x))))
(exp (* 1/8 (+ (log 4) (log x))))
(exp (* 1/8 (+ (log 4) (log x))))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* 2 x)
(* 2 x)
(* 2 x)
(* 2 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))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (sqrt x))
(* 2 (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))
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(pow (* 1 x) 1/4)
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* 2 (sqrt (pow x 3)))
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/4) x)
(* (pow 4 1/8) (sqrt x))
(* (pow 4 1/8) (sqrt x))
(* (pow 4 1/8) (sqrt x))
(* (pow 4 1/8) (sqrt x))
(exp (* 1/8 (+ (log 4) (* -1 (log (/ 1 x))))))
(exp (* 1/8 (+ (log 4) (* -1 (log (/ 1 x))))))
(exp (* 1/8 (+ (log 4) (* -1 (log (/ 1 x))))))
(exp (* 1/8 (+ (log 4) (* -1 (log (/ 1 x))))))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 x)
(sqrt x)
(sqrt x)
(sqrt x)
(sqrt x)
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* (pow 256 1/16) x)
(* -2 (* x (pow (sqrt -1) 2)))
(* -2 (* x (pow (sqrt -1) 2)))
(* -2 (* x (pow (sqrt -1) 2)))
(* -2 (* 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))))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1)))))
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1)))))
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1)))))
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1)))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -2 (* (sqrt (pow x 3)) (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))
(* -1 (* (pow 4 1/8) (* (sqrt x) (sqrt -1))))
(* -1 (* (pow 4 1/8) (* (sqrt x) (sqrt -1))))
(* -1 (* (pow 4 1/8) (* (sqrt x) (sqrt -1))))
(* -1 (* (pow 4 1/8) (* (sqrt x) (sqrt -1))))
(exp (* 1/8 (+ (log -4) (* -1 (log (/ -1 x))))))
(exp (* 1/8 (+ (log -4) (* -1 (log (/ -1 x))))))
(exp (* 1/8 (+ (log -4) (* -1 (log (/ -1 x))))))
(exp (* 1/8 (+ (log -4) (* -1 (log (/ -1 x))))))
(* 4 x)
(* 4 x)
(* 4 x)
(* 4 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
(* (pow 256 1/16) x)
(*.f64 x (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* (pow 256 1/16) x)
(*.f64 x (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* (pow 256 1/16) x)
(*.f64 x (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* (pow 256 1/16) x)
(*.f64 x (pow.f64 #s(literal 256 binary64) #s(literal 1/16 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)
(* 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 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #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)
(* (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)
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (sqrt (pow x 3)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(* 2 (sqrt (pow x 3)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(* 2 (sqrt (pow x 3)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(* 2 (sqrt (pow x 3)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(* (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)
(* (pow 4 1/8) (sqrt x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))
(* (pow 4 1/8) (sqrt x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))
(* (pow 4 1/8) (sqrt x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))
(* (pow 4 1/8) (sqrt x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))
(exp (* 1/8 (+ (log 4) (log x))))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))
(exp (* 1/8 (+ (log 4) (log x))))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))
(exp (* 1/8 (+ (log 4) (log x))))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))
(exp (* 1/8 (+ (log 4) (log x))))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* (pow 256 1/16) x)
(*.f64 x (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* (pow 256 1/16) x)
(*.f64 x (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* (pow 256 1/16) x)
(*.f64 x (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* (pow 256 1/16) x)
(*.f64 x (pow.f64 #s(literal 256 binary64) #s(literal 1/16 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)
(* 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 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* 2 (sqrt x))
(*.f64 (sqrt.f64 x) #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)
(* (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)
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(pow (* 1 x) 1/4)
(pow.f64 x #s(literal 1/4 binary64))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/4 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(* 2 (sqrt (pow x 3)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(* 2 (sqrt (pow x 3)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(* 2 (sqrt (pow x 3)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(* 2 (sqrt (pow x 3)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(* (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)
(* (pow 4 1/8) (sqrt x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))
(* (pow 4 1/8) (sqrt x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))
(* (pow 4 1/8) (sqrt x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))
(* (pow 4 1/8) (sqrt x))
(*.f64 (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64)) (sqrt.f64 x))
(exp (* 1/8 (+ (log 4) (* -1 (log (/ 1 x))))))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))
(exp (* 1/8 (+ (log 4) (* -1 (log (/ 1 x))))))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))
(exp (* 1/8 (+ (log 4) (* -1 (log (/ 1 x))))))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))
(exp (* 1/8 (+ (log 4) (* -1 (log (/ 1 x))))))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(sqrt x)
(sqrt.f64 x)
(* (pow 256 1/16) x)
(*.f64 x (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* (pow 256 1/16) x)
(*.f64 x (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* (pow 256 1/16) x)
(*.f64 x (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* (pow 256 1/16) x)
(*.f64 x (pow.f64 #s(literal 256 binary64) #s(literal 1/16 binary64)))
(* -2 (* x (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) x)
(* -2 (* x (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) x)
(* -2 (* x (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) x)
(* -2 (* x (pow (sqrt -1) 2)))
(*.f64 #s(literal 2 binary64) x)
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* -1 (* x (* (sqrt -2) (sqrt -1))))
(.f64 (neg.f64 x) (.f64 (sqrt.f64 #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* -2 (* (pow x 2) (pow (sqrt -1) 2)))
(.f64 (.f64 x x) #s(literal 2 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -2 (* (sqrt x) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))
(*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1)))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) x)))
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1)))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) x)))
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1)))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) x)))
(* -1 (* (pow -1 1/4) (* (* x (sqrt -2)) (sqrt (sqrt -1)))))
(.f64 (pow.f64 #s(literal -1 binary64) #s(literal 5/4 binary64)) (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal -2 binary64)) x)))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 x #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 x #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 x #s(literal 1/4 binary64))
(exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))
(pow.f64 x #s(literal 1/4 binary64))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(* (pow (* -1 (pow x 3)) 1/4) (* (sqrt -2) (sqrt (sqrt -1))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -2 binary64))) (pow.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) #s(literal 1/4 binary64)))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(* -2 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64))
(* -1 (* (pow 4 1/4) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* -1 (* (pow 4 1/4) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* -1 (* (pow 4 1/4) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* -1 (* (pow 4 1/4) x))
(*.f64 (neg.f64 x) (pow.f64 #s(literal 4 binary64) #s(literal 1/4 binary64)))
(* -1 (* (pow 4 1/8) (* (sqrt x) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(* -1 (* (pow 4 1/8) (* (sqrt x) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(* -1 (* (pow 4 1/8) (* (sqrt x) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(* -1 (* (pow 4 1/8) (* (sqrt x) (sqrt -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 x)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))
(exp (* 1/8 (+ (log -4) (* -1 (log (/ -1 x))))))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))
(exp (* 1/8 (+ (log -4) (* -1 (log (/ -1 x))))))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))
(exp (* 1/8 (+ (log -4) (* -1 (log (/ -1 x))))))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))
(exp (* 1/8 (+ (log -4) (* -1 (log (/ -1 x))))))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 binary64) x)
(* 4 x)
(*.f64 #s(literal 4 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)

rewrite145.0ms (2.4%)

Memory

23.0MiB live, 177.3MiB allocated

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	121
0	48	93
1	120	90
2	363	75
3	1615	60
4	6847	60
0	8026	60

Stop Event

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

Counts

18 → 963

Calls

Call 1

Inputs
(pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64))
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64))
(.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))
(sqrt.f64 (.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x))
(.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x)
(*.f64 (sqrt.f64 x) #s(literal 2 binary64))
(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
(sqrt.f64 (.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))))
(pow.f64 x #s(literal 1/4 binary64))
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))
(pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64))
(.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64)))
(pow.f64 (*.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64))
(*.f64 #s(literal 4 binary64) x)
(sqrt.f64 x)

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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>
#<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>

eval168.0ms (2.8%)

Memory: 9.2MiB live, 245.6MiB allocated
Compiler: Compiled 18 735 to 1 645 computations (91.2% saved)

prune30.0ms (0.5%)

Memory

10.1MiB live, 85.0MiB allocated

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	1 407	2	1 409
Fresh	0	0	0
Picked	1	4	5
Done	0	5	5
Total	1 408	11	1 419

Accuracy

100.0%

Counts

1 419 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64))
✓	99.2%	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
✓	99.4%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	99.3%	(.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))
✓	99.1%	(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
✓	99.5%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
▶	68.6%	(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
▶	20.3%	(*.f64 x #s(literal 1 binary64))
✓	50.7%	(sqrt.f64 (.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x))
✓	50.8%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

Compiler

Compiled 88 to 71 computations (19.3% saved)

simplify5.0ms (0.1%)

Memory

-34.1MiB live, 5.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

New	Metric	Score
cost-diff	0	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))
cost-diff	0	(sqrt.f64 x)
cost-diff	0	(sqrt.f64 (sqrt.f64 x))
cost-diff	0	(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))))
cost-diff	320	(*.f64 x #s(literal 1 binary64))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	39
0	17	37
1	25	37
2	40	37
3	53	37
4	53	37
0	53	37

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(*.f64 x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))
(*.f64 #s(literal 2 binary64) x)
#s(literal 2 binary64)

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

localize27.0ms (0.5%)

Memory

-7.2MiB live, 38.3MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.1328125	(sqrt.f64 (sqrt.f64 x))
accuracy	0.15625	(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))
accuracy	0.3590812988422101	(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))))
accuracy	20.421742330062028	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))
accuracy	0	(*.f64 x #s(literal 1 binary64))

Samples

18.0ms

256×

valid

Compiler

Compiled 41 to 12 computations (70.7% saved)

Precisions

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

ival-mult: 6.0ms (53.9% of total)

ival-sqrt: 5.0ms (44.9% of total)

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

exact: 0.0ms (0% of total)

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

series47.0ms (0.8%)

Memory

34.2MiB live, 73.1MiB allocated

Counts

6 → 72

Calls

Call 1

Inputs
#s(alt (.f64 x #s(literal 1 binary64)) (patch (.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())
#s(alt (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) (patch (.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))) #<representation binary64>) () ())
#s(alt (sqrt.f64 (sqrt.f64 x)) (patch (sqrt.f64 (sqrt.f64 x)) #<representation binary64>) () ())
#s(alt (sqrt.f64 x) (patch (sqrt.f64 x) #<representation binary64>) () ())
#s(alt (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) (patch (sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))) #<representation binary64>) () ())
#s(alt (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) (patch (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)) #<representation binary64>) () ())

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

Calls

3 calls:

Time

Variable

Point

Expression

16.0ms

-inf

((* x 1) (* (sqrt (sqrt x)) (sqrt (* (* 2 x) (sqrt x)))) (sqrt (sqrt x)) (sqrt x) (sqrt (* (* 2 x) (sqrt x))) (* (* 2 x) (sqrt x)))

16.0ms

inf

((* x 1) (* (sqrt (sqrt x)) (sqrt (* (* 2 x) (sqrt x)))) (sqrt (sqrt x)) (sqrt x) (sqrt (* (* 2 x) (sqrt x))) (* (* 2 x) (sqrt x)))

14.0ms

((* x 1) (* (sqrt (sqrt x)) (sqrt (* (* 2 x) (sqrt x)))) (sqrt (sqrt x)) (sqrt x) (sqrt (* (* 2 x) (sqrt x))) (* (* 2 x) (sqrt x)))

simplify74.0ms (1.2%)

Memory

-16.9MiB live, 21.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	344
1	74	344
2	185	344
3	318	344
4	462	344
5	589	344
6	762	344
7	1124	344
8	1652	344
9	1703	344
10	1839	344
11	1967	344
12	2053	344
13	2207	344
14	2273	344
15	2367	344
16	2383	344
17	2387	344
18	2393	344
19	2397	344
20	2397	344
0	2397	344

Stop Event

1×	iter limit
1×	saturated

Counts

72 → 60

Calls

Call 1

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

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

rewrite43.0ms (0.7%)

Memory

-0.2MiB live, 37.8MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	10	32
0	17	29
1	33	23
2	89	16
3	317	16
4	1690	8
0	10490	8

Stop Event

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

Counts

6 → 45

Calls

Call 1

Inputs
(*.f64 x #s(literal 1 binary64))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))))
(sqrt.f64 (sqrt.f64 x))
(sqrt.f64 x)
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x)))
(.f64 (.f64 #s(literal 2 binary64) x) (sqrt.f64 x))

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>

eval11.0ms (0.2%)

Memory: 18.0MiB live, 18.0MiB allocated
Compiler: Compiled 1 196 to 119 computations (90.1% saved)

prune16.0ms (0.3%)

Memory

-18.8MiB live, 21.6MiB allocated

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	117	2	119
Fresh	0	0	0
Picked	1	1	2
Done	0	9	9
Total	118	12	130

Accuracy

100.0%

Counts

130 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	98.5%	(pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64))
✓	99.2%	(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
✓	99.4%	(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
✓	99.3%	(.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))
✓	99.1%	(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
✓	99.5%	(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
✓	68.6%	(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
✓	50.7%	(sqrt.f64 (.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x))
✓	50.8%	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
	5.3%	(sqrt.f64 #s(literal 2 binary64))
	20.3%	x

Compiler

Compiled 234 to 129 computations (44.9% saved)

regimes23.0ms (0.4%)

Memory

4.4MiB live, 43.5MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
(.f64 (sqrt.f64 (.f64 x #s(literal 2 binary64))) (sqrt.f64 x))
(sqrt.f64 (.f64 (.f64 (*.f64 x #s(literal 2 binary64)) (sqrt.f64 x)) (sqrt.f64 x)))
(sqrt.f64 (.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x)) x))
(.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))))
(.f64 (sqrt.f64 (.f64 (*.f64 (sqrt.f64 x) #s(literal 2 binary64)) (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) #s(literal 2 binary64))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (sqrt.f64 x) (*.f64 x #s(literal 2 binary64)))))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (.f64 (*.f64 #s(literal 2 binary64) x) (sqrt.f64 x))))
(*.f64 (pow.f64 (pow.f64 #s(literal 256 binary64) #s(literal 1/32 binary64)) #s(literal 2 binary64)) x)
(.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))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 3/4 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (.f64 (pow.f64 (.f64 #s(literal 4 binary64) x) #s(literal 1/8 binary64)) (pow.f64 x #s(literal 3/8 binary64))) #s(literal 2 binary64))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 #s(literal 4 binary64) #s(literal 1/8 binary64))))

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

Calls

3 calls:

12.0ms	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
5.0ms	x
5.0ms	(.f64 (.f64 #s(literal 2 binary64) x) x)

Results

Accuracy	Segments	Branch
99.5%	1	`x`
99.5%	1	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
99.5%	1	`(.f64 (.f64 #s(literal 2 binary64) x) x)`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes7.0ms (0.1%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

5 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(sqrt.f64 #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))

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

Calls

3 calls:

2.0ms	x
2.0ms	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
2.0ms	(.f64 (.f64 #s(literal 2 binary64) x) x)

Results

Accuracy	Segments	Branch
99.3%	1	`x`
99.3%	1	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
99.3%	1	`(.f64 (.f64 #s(literal 2 binary64) x) x)`

Compiler

Compiled 12 to 10 computations (16.7% saved)

regimes5.0ms (0.1%)

Memory

10.3MiB live, 10.3MiB allocated

Accuracy

Total -9.6b remaining (-18.9%)

Threshold costs -9.6b (-18.9%)

Counts

3 → 1

Calls

Call 1

Inputs
x
(*.f64 x #s(literal 1 binary64))
(sqrt.f64 #s(literal 2 binary64))

Outputs
x

Calls

3 calls:

2.0ms	x
2.0ms	(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))
2.0ms	(.f64 (.f64 #s(literal 2 binary64) x) x)

Results

Accuracy	Segments	Branch
20.3%	1	`x`
20.3%	1	`(sqrt.f64 (.f64 (.f64 #s(literal 2 binary64) x) x))`
20.3%	1	`(.f64 (.f64 #s(literal 2 binary64) x) x)`

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify24.0ms (0.4%)

Memory

2.7MiB live, 40.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	11	12

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness1.9s (31.9%)

Memory

-21.4MiB live, 296.3MiB allocated

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	28	121
0	48	93
1	120	90
2	363	75
3	1615	60
4	6847	60
0	8026	60
0	22	85
0	38	73
1	84	73
2	239	63
3	1097	63
4	3972	63
0	8268	63
0	5	14
0	8	14
1	17	14
2	38	13
3	92	12
4	338	12
5	2074	12
0	8672	12
0	10	32
0	17	29
1	33	23
2	89	16
3	317	16
4	1690	8
0	10490	8

Stop Event

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

Compiler

Compiled 67 to 48 computations (28.4% saved)

preprocess27.0ms (0.4%)

Memory: 14.2MiB live, 52.4MiB allocated
Compiler: Compiled 64 to 50 computations (21.9% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	9	148
1	17	148
2	32	148
3	36	148
4	40	148
5	52	148
6	64	148
7	75	148
8	95	148
9	100	148
0	100	148

Iter	Nodes	Cost
0	28	158
0	48	162
1	65	158
2	100	128
3	123	128
4	140	128
5	157	128
6	159	128
0	159	128

Iter	Nodes	Cost
0	9	148
1	17	148
2	32	148
3	36	148
4	40	148
5	52	148
6	64	148
7	75	148
8	95	148
9	100	148
0	100	148

Iter	Nodes	Cost
0	28	158
0	48	162
1	65	158
2	100	128
3	123	128
4	140	128
5	157	128
6	159	128
0	159	128

start0.0ms (0%)

analyze0.0ms (0%)

sample1.4s (23.3%)

explain94.0ms (1.6%)

preprocess18.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify3.0ms (0%)

localize47.0ms (0.8%)

series4.0ms (0.1%)

simplify7.0ms (0.1%)

rewrite130.0ms (2.2%)

eval18.0ms (0.3%)

prune20.0ms (0.3%)

simplify5.0ms (0.1%)

localize68.0ms (1.1%)

series518.0ms (8.6%)

simplify182.0ms (3%)

rewrite170.0ms (2.8%)

eval296.0ms (4.9%)

prune89.0ms (1.5%)

simplify7.0ms (0.1%)

localize84.0ms (1.4%)

series184.0ms (3%)

simplify112.0ms (1.8%)

rewrite145.0ms (2.4%)

eval168.0ms (2.8%)

prune30.0ms (0.5%)

simplify5.0ms (0.1%)

localize27.0ms (0.5%)

series47.0ms (0.8%)

simplify74.0ms (1.2%)

rewrite43.0ms (0.7%)

eval11.0ms (0.2%)

prune16.0ms (0.3%)

regimes23.0ms (0.4%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

simplify24.0ms (0.4%)

soundness1.9s (31.9%)

preprocess27.0ms (0.4%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	9	148
1	17	148
2	32	148
3	36	148
4	40	148
5	52	148
6	64	148
7	75	148
8	95	148
9	100	148
0	100	148

Iter	Nodes	Cost
0	28	158
0	48	162
1	65	158
2	100	128
3	123	128
4	140	128
5	157	128
6	159	128
0	159	128