Metrics for sqrt E (should all be same)

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage

analyze0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated; 0ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 10 to 6 computations (40% saved)

sample810.0ms (59.5%)

Memory

25.9MiB live, 716.3MiB allocated; 825ms collecting garbage

Samples

591.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 425.0ms

ival-sqrt: 294.0ms (69.2% of total)

ival-pow2: 109.0ms (25.7% of total)

ival-add!: 21.0ms (4.9% of total)

adjust: 1.0ms (0.2% of total)

Bogosity

explain122.0ms (9%)

Memory

-0.6MiB live, 93.7MiB allocated; 9ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
130	-	2	(-6.613816186352427e-162)	`(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))`
0	-	0	-	`(pow.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`
0	-	0	-	`(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))`	uflow-rescue	79	0
↳	`(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`	underflow	79
↳	`(pow.f64 x #s(literal 2 binary64))`	underflow	158
`sqrt.f64`	`(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))`	oflow-rescue	49	0
↳	`(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`	overflow	49
↳	`(pow.f64 x #s(literal 2 binary64))`	overflow	98

Confusion

	Predicted +	Predicted -
+	128	2
-	0	126

Precision

1.0

Recall

0.9846153846153847

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	128	0	2
-	0	0	126

Precision?

1.0

Recall?

0.9846153846153847

Freqs

test

number	freq
0	128
1	128

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

21.0ms

512×

valid

Compiler

Compiled 52 to 19 computations (63.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-pow2: 6.0ms (57.9% of total)

ival-sqrt: 3.0ms (29% of total)

ival-add!: 1.0ms (9.7% of total)

adjust: 0.0ms (0% of total)

preprocess55.0ms (4%)

Memory

-36.2MiB live, 9.5MiB allocated; 6ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	16	19
2	46	19
3	125	19
4	271	19
5	817	19
6	4664	19

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.8%	(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))

Symmetry

(abs x)

Compiler

Compiled 16 to 10 computations (37.5% saved)

series4.0ms (0.3%)

Memory

5.1MiB live, 5.1MiB allocated; 0ms collecting garbage

Counts

5 → 5

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (+ (pow x 2) (pow x 2)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (pow x 2) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(hole binary64 (* -1 (* x (sqrt 2)))))

Calls

3 calls:

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

Time

Variable

Point

Expression

1.0ms

inf

((sqrt (+ (pow x 2) (pow x 2))) (+ (pow x 2) (pow x 2)) (pow x 2) x 2)

1.0ms

((sqrt (+ (pow x 2) (pow x 2))) (+ (pow x 2) (pow x 2)) (pow x 2) x 2)

1.0ms

-inf

((sqrt (+ (pow x 2) (pow x 2))) (+ (pow x 2) (pow x 2)) (pow x 2) x 2)

rewrite56.0ms (4.1%)

Memory

7.5MiB live, 58.4MiB allocated; 9ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	71
0	22	56
1	50	36
0	246	36

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

10 → 27

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
#s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (+ (pow x 2) (pow x 2)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (pow x 2) #s(hole binary64 (pow x 2)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(hole binary64 (* -1 (* x (sqrt 2)))))

Outputs
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 (.f64 x x)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (sqrt.f64 (.f64 x x)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (.f64 x x) #s(literal 1/2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
x
#s(literal 2 binary64)
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (+ (pow x 2) (pow x 2)) #s(literal 2 binary64))
#s(approx (pow x 2) (*.f64 x x))
#s(approx x x)
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

eval3.0ms (0.2%)

Memory: 4.1MiB live, 4.1MiB allocated; 0ms collecting garbage
Compiler: Compiled 320 to 99 computations (69.1% saved)

prune3.0ms (0.2%)

Memory

4.1MiB live, 4.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	29	5	34
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	30	5	35

Accuracy

99.6%

Counts

35 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	16.3%	(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
▶	52.8%	(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x x)))
▶	5.4%	(sqrt.f64 #s(approx (+ (pow x 2) (pow x 2)) #s(literal 2 binary64)))
▶	99.3%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
▶	2.5%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 116 to 88 computations (24.1% saved)

series9.0ms (0.6%)

Memory

11.1MiB live, 11.1MiB allocated; 0ms collecting garbage

Counts

24 → 21

Calls

Call 1

Inputs
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(sqrt.f64 #s(approx (+ (pow x 2) (pow x 2)) #s(literal 2 binary64)))
#s(approx (+ (pow x 2) (pow x 2)) #s(literal 2 binary64))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 x)
(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x x)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 0 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)

Outputs
#s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* (sqrt 2) x) #s(hole binary64 (* x (sqrt 2))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (pow x 2) (pow x 2)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* (neg x) (sqrt 2)) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (pow x 2) (* x x))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (+ (pow x 2) (* x x)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (pow x 2) #s(hole binary64 (pow x 2)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (sqrt (* 2 (pow x 6))) #s(hole binary64 (* (pow x 3) (sqrt 2))))
#s(approx (* 2 (pow x 6)) #s(hole binary64 (* 2 (pow x 6))))
#s(approx (pow x 6) #s(hole binary64 (pow x 6)))
#s(approx (sqrt (+ 0 (pow x 4))) #s(hole binary64 (pow x 2)))
#s(approx (+ 0 (pow x 4)) #s(hole binary64 (pow x 4)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (sqrt (+ (pow x 2) (* x x))) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (sqrt (* 2 (pow x 6))) #s(hole binary64 (* -1 (* (pow x 3) (sqrt 2)))))

Calls

3 calls:

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

Time

Variable

Point

Expression

3.0ms

inf

((sqrt (+ (pow x 2) (pow x 2))) (* (sqrt 2) x) (sqrt 2) 2 x (sqrt (+ (pow x 2) (pow x 2))) (+ (pow x 2) (pow x 2)) (sqrt (+ (pow x 2) (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt (+ (pow x 2) (* x x))) (+ (pow x 2) (* x x)) (pow x 2) (* x x) (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) (sqrt (* 2 (pow x 6))) (* 2 (pow x 6)) (pow x 6) 6 (sqrt (+ 0 (pow x 4))) (+ 0 (pow x 4)) 0 (pow x 4) 4)

3.0ms

-inf

((sqrt (+ (pow x 2) (pow x 2))) (* (sqrt 2) x) (sqrt 2) 2 x (sqrt (+ (pow x 2) (pow x 2))) (+ (pow x 2) (pow x 2)) (sqrt (+ (pow x 2) (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt (+ (pow x 2) (* x x))) (+ (pow x 2) (* x x)) (pow x 2) (* x x) (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) (sqrt (* 2 (pow x 6))) (* 2 (pow x 6)) (pow x 6) 6 (sqrt (+ 0 (pow x 4))) (+ 0 (pow x 4)) 0 (pow x 4) 4)

2.0ms

((sqrt (+ (pow x 2) (pow x 2))) (* (sqrt 2) x) (sqrt 2) 2 x (sqrt (+ (pow x 2) (pow x 2))) (+ (pow x 2) (pow x 2)) (sqrt (+ (pow x 2) (pow x 2))) (* (neg x) (sqrt 2)) (neg x) (sqrt (+ (pow x 2) (* x x))) (+ (pow x 2) (* x x)) (pow x 2) (* x x) (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) (sqrt (* 2 (pow x 6))) (* 2 (pow x 6)) (pow x 6) 6 (sqrt (+ 0 (pow x 4))) (+ 0 (pow x 4)) 0 (pow x 4) 4)

rewrite51.0ms (3.8%)

Memory

-2.6MiB live, 44.0MiB allocated; 3ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	71	362
0	97	281
1	186	233
0	866	233

Stop Event

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

Counts

45 → 348

Calls

Call 1

Inputs
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
x
(sqrt.f64 #s(approx (+ (pow x 2) (pow x 2)) #s(literal 2 binary64)))
#s(approx (+ (pow x 2) (pow x 2)) #s(literal 2 binary64))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 x)
(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x x)))
(+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x x))
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 0 binary64)
(pow.f64 x #s(literal 4 binary64))
#s(literal 4 binary64)
#s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* (sqrt 2) x) #s(hole binary64 (* x (sqrt 2))))
#s(approx x #s(hole binary64 x))
#s(approx (+ (pow x 2) (pow x 2)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* (neg x) (sqrt 2)) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx (sqrt (+ (pow x 2) (* x x))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (+ (pow x 2) (* x x)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (pow x 2) #s(hole binary64 (pow x 2)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (sqrt (* 2 (pow x 6))) #s(hole binary64 (* (pow x 3) (sqrt 2))))
#s(approx (* 2 (pow x 6)) #s(hole binary64 (* 2 (pow x 6))))
#s(approx (pow x 6) #s(hole binary64 (pow x 6)))
#s(approx (sqrt (+ 0 (pow x 4))) #s(hole binary64 (pow x 2)))
#s(approx (+ 0 (pow x 4)) #s(hole binary64 (pow x 4)))
#s(approx (pow x 4) #s(hole binary64 (pow x 4)))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (sqrt (+ (pow x 2) (* x x))) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (sqrt (* 2 (pow x 6))) #s(hole binary64 (* -1 (* (pow x 3) (sqrt 2)))))

Outputs
#s(approx (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (pow.f64 (.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x x)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 (.f64 x x) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 x x))
(/.f64 (sqrt.f64 #s(literal 0 binary64)) (sqrt.f64 #s(literal 0 binary64)))
(/.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 x) x))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x))
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
(neg.f64 (/.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x)))
(neg.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 x) x)))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
#s(literal 2 binary64)
x
(.f64 (pow.f64 #s(approx (+ (pow x 2) ( x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ (pow x 2) (* x x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(pow.f64 #s(approx (+ (pow x 2) (* x x)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 #s(approx (+ (pow x 2) (* x x)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 #s(approx (+ (pow x 2) ( x x)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
#s(approx (+ (pow x 2) (* x x)) #s(literal 2 binary64))
#s(approx (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
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(/.f64 (neg.f64 (pow.f64 x #s(literal 12 binary64))) (neg.f64 (pow.f64 x #s(literal 8 binary64))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 8 binary64))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 8 binary64)))
(fma.f64 (.f64 (.f64 x x) (fabs.f64 x)) (fabs.f64 x) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (.f64 (fabs.f64 x) (neg.f64 x)) (.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (.f64 (fabs.f64 x) x) (.f64 (fabs.f64 x) x) #s(literal 0 binary64))
(fma.f64 (.f64 (neg.f64 x) (fabs.f64 x)) (.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 (.f64 x (fabs.f64 x)) (.f64 x (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x) #s(literal 0 binary64))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 x x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) x #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))
(fma.f64 x (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))
(-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
(+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 0 binary64)
(.f64 (.f64 (*.f64 x x) (fabs.f64 x)) (fabs.f64 x))
(.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 (fabs.f64 x) (neg.f64 x)) (*.f64 (fabs.f64 x) (neg.f64 x)))
(.f64 (.f64 (fabs.f64 x) x) (*.f64 (fabs.f64 x) x))
(.f64 (.f64 (neg.f64 x) (fabs.f64 x)) (*.f64 (neg.f64 x) (fabs.f64 x)))
(.f64 (.f64 x (fabs.f64 x)) (*.f64 x (fabs.f64 x)))
(.f64 (.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (*.f64 x x)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (neg.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 8 binary64)))) (neg.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 12 binary64))) (neg.f64 (pow.f64 x #s(literal 8 binary64))))
(/.f64 (neg.f64 (pow.f64 x #s(literal 8 binary64))) (neg.f64 (pow.f64 x #s(literal 4 binary64))))
(/.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 4 binary64)))
(/.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 x #s(literal 8 binary64)))
(fma.f64 (.f64 (.f64 x x) (fabs.f64 x)) (fabs.f64 x) #s(literal 0 binary64))
(fma.f64 (.f64 (.f64 x x) (neg.f64 x)) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 (.f64 (fabs.f64 x) (neg.f64 x)) (.f64 (fabs.f64 x) (neg.f64 x)) #s(literal 0 binary64))
(fma.f64 (.f64 (fabs.f64 x) x) (.f64 (fabs.f64 x) x) #s(literal 0 binary64))
(fma.f64 (.f64 (neg.f64 x) (fabs.f64 x)) (.f64 (neg.f64 x) (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 (.f64 x (fabs.f64 x)) (.f64 x (fabs.f64 x)) #s(literal 0 binary64))
(fma.f64 (.f64 (neg.f64 x) x) (.f64 (neg.f64 x) x) #s(literal 0 binary64))
(fma.f64 (fabs.f64 x) (.f64 (fabs.f64 x) (.f64 x x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) x #s(literal 0 binary64))
(fma.f64 (neg.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 0 binary64))
(fma.f64 (.f64 x x) (.f64 x x) #s(literal 0 binary64))
(fma.f64 x (pow.f64 x #s(literal 3 binary64)) #s(literal 0 binary64))
(-.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 x #s(literal 4 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 x #s(literal 4 binary64)))))
(-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
(+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))
#s(literal 4 binary64)
#s(approx (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (* (sqrt 2) x) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx x x)
#s(approx (+ (pow x 2) (* x x)) #s(literal 2 binary64))
#s(approx (* (neg x) (sqrt 2)) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (neg x) (neg.f64 x))
#s(approx (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (+ (pow x 2) (* x x)) #s(literal 2 binary64))
#s(approx (sqrt (+ 0 (pow x 4))) (*.f64 x x))
#s(approx (sqrt (+ 0 (pow x 4))) (*.f64 x x))
#s(approx (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (sqrt (* 2 (pow x 6))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* 2 (pow x 6)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)))
#s(approx (pow x 6) (pow.f64 x #s(literal 6 binary64)))
#s(approx (sqrt (+ 0 (pow x 4))) (*.f64 x x))
#s(approx (+ 0 (pow x 4)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (+ 0 (pow x 4)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (sqrt (* 2 (pow x 6))) (sqrt (+ 0 (pow x 4)))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 6))) (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))

eval18.0ms (1.3%)

Memory: -14.2MiB live, 32.3MiB allocated; 3ms collecting garbage
Compiler: Compiled 3 390 to 715 computations (78.9% saved)

prune5.0ms (0.4%)

Memory

13.1MiB live, 13.1MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	205	4	209
Fresh	0	0	0
Picked	2	3	5
Done	0	0	0
Total	207	7	214

Accuracy

99.9%

Counts

214 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	16.3%	(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))))
▶	52.8%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
✓	5.4%	(sqrt.f64 #s(approx (+ (pow x 2) (pow x 2)) #s(literal 2 binary64)))
▶	99.1%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
✓	99.3%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
▶	2.5%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
✓	2.5%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 91 to 61 computations (33% saved)

series13.0ms (1%)

Memory

-24.3MiB live, 21.5MiB allocated; 4ms collecting garbage

Counts

19 → 18

Calls

Call 1

Inputs
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 x)
x
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(+.f64 (.f64 x x) (.f64 x x))
(*.f64 x x)
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))

Outputs
#s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* (neg x) (/ 2 (sqrt 2))) #s(hole binary64 (* -2 (/ x (sqrt 2)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 2 (sqrt 2)) x) #s(hole binary64 (* 2 (/ x (sqrt 2)))))
#s(approx (sqrt (+ (* x x) (* x x))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (+ (* x x) (* x x)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (sqrt (* 2 (pow x 6))) (sqrt (* (* x x) (* x x)))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (sqrt (* 2 (pow x 6))) #s(hole binary64 (* (pow x 3) (sqrt 2))))
#s(approx (* 2 (pow x 6)) #s(hole binary64 (* 2 (pow x 6))))
#s(approx (pow x 6) #s(hole binary64 (pow x 6)))
#s(approx (sqrt (* (* x x) (* x x))) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (sqrt (+ (* x x) (* x x))) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (/ (sqrt (* 2 (pow x 6))) (sqrt (* (* x x) (* x x)))) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (sqrt (* 2 (pow x 6))) #s(hole binary64 (* -1 (* (pow x 3) (sqrt 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	((sqrt (+ (pow x 2) (pow x 2))) (* (neg x) (/ 2 (sqrt 2))) (neg x) x (/ 2 (sqrt 2)) 2 (sqrt 2) (sqrt (+ (pow x 2) (pow x 2))) (* (/ 2 (sqrt 2)) x) (sqrt (+ (* x x) (* x x))) (+ (* x x) (* x x)) (* x x) (/ (sqrt (* 2 (pow x 6))) (sqrt (* (* x x) (* x x)))) (sqrt (* 2 (pow x 6))) (* 2 (pow x 6)) (pow x 6) 6 (sqrt (* (* x x) (* x x))) (* (* x x) (* x x)))
3.0ms	x	@	inf	((sqrt (+ (pow x 2) (pow x 2))) (* (neg x) (/ 2 (sqrt 2))) (neg x) x (/ 2 (sqrt 2)) 2 (sqrt 2) (sqrt (+ (pow x 2) (pow x 2))) (* (/ 2 (sqrt 2)) x) (sqrt (+ (* x x) (* x x))) (+ (* x x) (* x x)) (* x x) (/ (sqrt (* 2 (pow x 6))) (sqrt (* (* x x) (* x x)))) (sqrt (* 2 (pow x 6))) (* 2 (pow x 6)) (pow x 6) 6 (sqrt (* (* x x) (* x x))) (* (* x x) (* x x)))
3.0ms	x	@	0	((sqrt (+ (pow x 2) (pow x 2))) (* (neg x) (/ 2 (sqrt 2))) (neg x) x (/ 2 (sqrt 2)) 2 (sqrt 2) (sqrt (+ (pow x 2) (pow x 2))) (* (/ 2 (sqrt 2)) x) (sqrt (+ (* x x) (* x x))) (+ (* x x) (* x x)) (* x x) (/ (sqrt (* 2 (pow x 6))) (sqrt (* (* x x) (* x x)))) (sqrt (* 2 (pow x 6))) (* 2 (pow x 6)) (pow x 6) 6 (sqrt (* (* x x) (* x x))) (* (* x x) (* x x)))

Time

Variable

Point

Expression

6.0ms

-inf

((sqrt (+ (pow x 2) (pow x 2))) (* (neg x) (/ 2 (sqrt 2))) (neg x) x (/ 2 (sqrt 2)) 2 (sqrt 2) (sqrt (+ (pow x 2) (pow x 2))) (* (/ 2 (sqrt 2)) x) (sqrt (+ (* x x) (* x x))) (+ (* x x) (* x x)) (* x x) (/ (sqrt (* 2 (pow x 6))) (sqrt (* (* x x) (* x x)))) (sqrt (* 2 (pow x 6))) (* 2 (pow x 6)) (pow x 6) 6 (sqrt (* (* x x) (* x x))) (* (* x x) (* x x)))

3.0ms

inf

((sqrt (+ (pow x 2) (pow x 2))) (* (neg x) (/ 2 (sqrt 2))) (neg x) x (/ 2 (sqrt 2)) 2 (sqrt 2) (sqrt (+ (pow x 2) (pow x 2))) (* (/ 2 (sqrt 2)) x) (sqrt (+ (* x x) (* x x))) (+ (* x x) (* x x)) (* x x) (/ (sqrt (* 2 (pow x 6))) (sqrt (* (* x x) (* x x)))) (sqrt (* 2 (pow x 6))) (* 2 (pow x 6)) (pow x 6) 6 (sqrt (* (* x x) (* x x))) (* (* x x) (* x x)))

3.0ms

((sqrt (+ (pow x 2) (pow x 2))) (* (neg x) (/ 2 (sqrt 2))) (neg x) x (/ 2 (sqrt 2)) 2 (sqrt 2) (sqrt (+ (pow x 2) (pow x 2))) (* (/ 2 (sqrt 2)) x) (sqrt (+ (* x x) (* x x))) (+ (* x x) (* x x)) (* x x) (/ (sqrt (* 2 (pow x 6))) (sqrt (* (* x x) (* x x)))) (sqrt (* 2 (pow x 6))) (* 2 (pow x 6)) (pow x 6) 6 (sqrt (* (* x x) (* x x))) (* (* x x) (* x x)))

rewrite71.0ms (5.2%)

Memory

41.9MiB live, 90.5MiB allocated; 8ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	69	340
0	91	278
1	188	199
0	784	199

Stop Event

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

Counts

37 → 366

Calls

Call 1

Inputs
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 x)
x
(/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))
#s(literal 2 binary64)
(sqrt.f64 #s(literal 2 binary64))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
(*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x)
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(+.f64 (.f64 x x) (.f64 x x))
(*.f64 x x)
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))))
(sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64))))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
(pow.f64 x #s(literal 6 binary64))
#s(literal 6 binary64)
(sqrt.f64 (.f64 (.f64 x x) (*.f64 x x)))
(.f64 (.f64 x x) (*.f64 x x))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* (neg x) (/ 2 (sqrt 2))) #s(hole binary64 (* -2 (/ x (sqrt 2)))))
#s(approx (neg x) #s(hole binary64 (* -1 x)))
#s(approx x #s(hole binary64 x))
#s(approx (* (/ 2 (sqrt 2)) x) #s(hole binary64 (* 2 (/ x (sqrt 2)))))
#s(approx (sqrt (+ (* x x) (* x x))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (+ (* x x) (* x x)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (/ (sqrt (* 2 (pow x 6))) (sqrt (* (* x x) (* x x)))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (sqrt (* 2 (pow x 6))) #s(hole binary64 (* (pow x 3) (sqrt 2))))
#s(approx (* 2 (pow x 6)) #s(hole binary64 (* 2 (pow x 6))))
#s(approx (pow x 6) #s(hole binary64 (pow x 6)))
#s(approx (sqrt (* (* x x) (* x x))) #s(hole binary64 (pow x 2)))
#s(approx (* (* x x) (* x x)) #s(hole binary64 (pow x 4)))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (sqrt (+ (* x x) (* x x))) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (/ (sqrt (* 2 (pow x 6))) (sqrt (* (* x x) (* x x)))) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (sqrt (* 2 (pow x 6))) #s(hole binary64 (* -1 (* (pow x 3) (sqrt 2)))))

Outputs
#s(approx (sqrt (+ (* x x) (* x x))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(*.f64 (neg.f64 (sqrt.f64 #s(literal 2 binary64))) x)
(*.f64 #s(literal -1 binary64) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (neg.f64 x))
(*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 x (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 (neg.f64 x) #s(literal -2 binary64)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 2 binary64) x) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(neg.f64 (sqrt.f64 #s(literal 2 binary64)))
(+.f64 (neg.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (neg.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x #s(literal -1 binary64))
(neg.f64 x)
x
(*.f64 (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)) (pow.f64 #s(literal 2 binary64) #s(literal 1/4 binary64)))
(.f64 (sqrt.f64 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) x)
(*.f64 #s(literal 2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(*.f64 x (sqrt.f64 #s(literal 2 binary64)))
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(/.f64 (*.f64 #s(literal 4 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 4 binary64)) #s(literal 2 binary64))
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(fma.f64 x (/.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 #s(literal 2 binary64)))) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(+.f64 (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))) (.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64)))))
(+.f64 (.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)) (.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal 2 binary64))))
(+.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
#s(literal 2 binary64)
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(.f64 (sqrt.f64 (.f64 (neg.f64 x) x)) (sqrt.f64 (*.f64 (neg.f64 x) x)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 2 binary64)) x) (/.f64 (pow.f64 x #s(literal 3 binary64)) x))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x x)))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1/2 binary64))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) x) x)
(/.f64 (neg.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))) (.f64 x x))
(/.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 (neg.f64 x) x))
(/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 x x))
(neg.f64 (/.f64 (neg.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))) (.f64 x x)))
(neg.f64 (/.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) (.f64 (neg.f64 x) x)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))) x)
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (sqrt.f64 #s(literal 2 binary64)) (.f64 x x))
(.f64 (.f64 x x) (sqrt.f64 #s(literal 2 binary64)))
(.f64 x (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
(pow.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)))
(hypot.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(hypot.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(hypot.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(hypot.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(hypot.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(hypot.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(hypot.f64 (pow.f64 x #s(literal 3 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(hypot.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64))
(.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (*.f64 #s(literal 4 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64))
(/.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4 binary64)) #s(literal 2 binary64))
(/.f64 (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (+.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64))) (fma.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (.f64 x x)) x (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 x x) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 (*.f64 x x) (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 6 binary64)))
(fma.f64 x (.f64 (.f64 x x) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))
(-.f64 (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))
(+.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(+.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)) x)
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 (neg.f64 x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 x #s(literal 4 binary64)) (.f64 x x))
(.f64 (.f64 x x) (pow.f64 x #s(literal 4 binary64)))
(.f64 x (.f64 (*.f64 x x) (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 6 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 3 binary64))
(pow.f64 x #s(literal 6 binary64))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 3 binary64) (*.f64 (log.f64 x) #s(literal 3 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 3 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 6 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 6 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 6 binary64))))
#s(literal 6 binary64)
(.f64 (.f64 (neg.f64 x) #s(literal -1 binary64)) x)
(*.f64 (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/4 binary64)))
(*.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(.f64 (sqrt.f64 (.f64 (neg.f64 x) x)) (sqrt.f64 (*.f64 (neg.f64 x) x)))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (pow.f64 x #s(literal 3 binary64))))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 (neg.f64 x) x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (neg.f64 x) x) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)))
(.f64 #s(literal 1 binary64) (.f64 x x))
(.f64 (.f64 (neg.f64 x) x) #s(literal -1 binary64))
(.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x))
(*.f64 (neg.f64 x) (neg.f64 x))
(.f64 (.f64 x x) #s(literal 1 binary64))
(.f64 x (.f64 #s(literal -1 binary64) (neg.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(neg.f64 (*.f64 (neg.f64 x) x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (*.f64 (neg.f64 x) x))
(fabs.f64 (*.f64 x x))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 4 binary64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(.f64 (.f64 (*.f64 x x) (neg.f64 x)) (neg.f64 x))
(.f64 (.f64 x (pow.f64 x #s(literal 3/2 binary64))) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (pow.f64 x #s(literal 3/2 binary64)) (.f64 (pow.f64 x #s(literal 3/2 binary64)) x))
(.f64 (.f64 (neg.f64 x) x) (*.f64 (neg.f64 x) x))
(*.f64 (pow.f64 x #s(literal 3 binary64)) x)
(*.f64 (neg.f64 x) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(.f64 (.f64 x x) (*.f64 x x))
(*.f64 x (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 4 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (neg.f64 x) x) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal 2 binary64))
(pow.f64 x #s(literal 4 binary64))
(neg.f64 (.f64 (.f64 x x) (*.f64 (neg.f64 x) x)))
(neg.f64 (.f64 (.f64 (neg.f64 x) x) (*.f64 x x)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))))
(fabs.f64 (pow.f64 x #s(literal 4 binary64)))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 4 binary64)))
(+.f64 (cosh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))) (sinh.f64 (.f64 (log.f64 x) #s(literal 4 binary64))))
#s(approx (sqrt (+ (* x x) (* x x))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (* (neg x) (/ 2 (sqrt 2))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (neg x) (neg.f64 x))
#s(approx x x)
#s(approx (sqrt (+ (* x x) (* x x))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (+ (* x x) (* x x))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (+ (* x x) (* x x)) #s(literal 2 binary64))
#s(approx (* x x) (*.f64 x x))
#s(approx (/ (sqrt (* 2 (pow x 6))) (sqrt (* (* x x) (* x x)))) (sqrt.f64 #s(literal 2 binary64)))
#s(approx (sqrt (* 2 (pow x 6))) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (* 2 (pow x 6)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 2 binary64)))
#s(approx (pow x 6) (pow.f64 x #s(literal 6 binary64)))
#s(approx (* x x) (*.f64 x x))
#s(approx (* (* x x) (* x x)) (pow.f64 x #s(literal 4 binary64)))
#s(approx (sqrt (+ (* x x) (* x x))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (+ (* x x) (* x x))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (/ (sqrt (* 2 (pow x 6))) (sqrt (* (* x x) (* x x)))) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (* 2 (pow x 6))) (neg.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 #s(literal 2 binary64)))))

eval31.0ms (2.2%)

Memory: -35.6MiB live, 56.7MiB allocated; 7ms collecting garbage
Compiler: Compiled 5 814 to 1 043 computations (82.1% saved)

prune6.0ms (0.4%)

Memory

16.1MiB live, 16.1MiB allocated; 0ms collecting garbage

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	332	2	334
Fresh	0	0	0
Picked	2	2	4
Done	0	3	3
Total	334	7	341

Accuracy

100.0%

Counts

341 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	39.0%	(sqrt.f64 (+.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x)) (.f64 x x)))
✓	52.8%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
✓	5.4%	(sqrt.f64 #s(approx (+ (pow x 2) (pow x 2)) #s(literal 2 binary64)))
▶	2.5%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
✓	99.1%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
✓	99.3%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
✓	2.5%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

Compiler

Compiled 87 to 60 computations (31% saved)

series8.0ms (0.6%)

Memory

15.4MiB live, 15.4MiB allocated; 0ms collecting garbage

Counts

15 → 17

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (/ (* -2 x) (sqrt 2)) #s(hole binary64 (* -2 (/ x (sqrt 2)))))
#s(approx (* -2 x) #s(hole binary64 (* -2 x)))
#s(approx x #s(hole binary64 x))
#s(approx (sqrt (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x)) #s(hole binary64 (* 2 (pow x 2))))
#s(approx (* (sqrt (pow x 3)) (sqrt x)) #s(hole binary64 (pow x 2)))
#s(approx (sqrt (pow x 3)) #s(hole binary64 (sqrt (pow x 3))))
#s(approx (pow x 3) #s(hole binary64 (pow x 3)))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (* x x) #s(hole binary64 (pow x 2)))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) #s(hole binary64 (* -1 (* x (sqrt 2)))))
#s(approx (sqrt (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x))) #s(hole binary64 (* -1 (* x (sqrt (+ 1 (pow (sqrt -1) 2)))))))
#s(approx (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x)) #s(hole binary64 (* (pow x 2) (+ 1 (pow (sqrt -1) 2)))))
#s(approx (* (sqrt (pow x 3)) (sqrt x)) #s(hole binary64 (* (pow x 2) (pow (sqrt -1) 2))))
#s(approx (sqrt (pow x 3)) #s(hole binary64 (* (sqrt (pow x 3)) (pow (sqrt -1) 2))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))

Calls

3 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	((sqrt (+ (pow x 2) (pow x 2))) (/ (* -2 x) (sqrt 2)) (* -2 x) -2 x (sqrt 2) 2 (sqrt (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x))) (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x)) (* (sqrt (pow x 3)) (sqrt x)) (sqrt (pow x 3)) (pow x 3) 3 (sqrt x) (* x x))
2.0ms	x	@	inf	((sqrt (+ (pow x 2) (pow x 2))) (/ (* -2 x) (sqrt 2)) (* -2 x) -2 x (sqrt 2) 2 (sqrt (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x))) (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x)) (* (sqrt (pow x 3)) (sqrt x)) (sqrt (pow x 3)) (pow x 3) 3 (sqrt x) (* x x))
2.0ms	x	@	0	((sqrt (+ (pow x 2) (pow x 2))) (/ (* -2 x) (sqrt 2)) (* -2 x) -2 x (sqrt 2) 2 (sqrt (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x))) (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x)) (* (sqrt (pow x 3)) (sqrt x)) (sqrt (pow x 3)) (pow x 3) 3 (sqrt x) (* x x))

Time

Variable

Point

Expression

4.0ms

-inf

((sqrt (+ (pow x 2) (pow x 2))) (/ (* -2 x) (sqrt 2)) (* -2 x) -2 x (sqrt 2) 2 (sqrt (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x))) (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x)) (* (sqrt (pow x 3)) (sqrt x)) (sqrt (pow x 3)) (pow x 3) 3 (sqrt x) (* x x))

2.0ms

inf

((sqrt (+ (pow x 2) (pow x 2))) (/ (* -2 x) (sqrt 2)) (* -2 x) -2 x (sqrt 2) 2 (sqrt (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x))) (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x)) (* (sqrt (pow x 3)) (sqrt x)) (sqrt (pow x 3)) (pow x 3) 3 (sqrt x) (* x x))

2.0ms

((sqrt (+ (pow x 2) (pow x 2))) (/ (* -2 x) (sqrt 2)) (* -2 x) -2 x (sqrt 2) 2 (sqrt (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x))) (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x)) (* (sqrt (pow x 3)) (sqrt x)) (sqrt (pow x 3)) (pow x 3) 3 (sqrt x) (* x x))

rewrite28.0ms (2.1%)

Memory

-12.2MiB live, 34.9MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	63	284
0	79	241
0	200	226

Stop Event

1×	iter-limit
1×	iter-limit
1×	iter-limit
1×	unsound
1×	iter-limit

Counts

32 → 62

Calls

Call 1

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

Outputs
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64)))
(*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64))
(*.f64 #s(literal -2 binary64) (/.f64 x (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) x)) (neg.f64 (sqrt.f64 #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64)))
(*.f64 #s(literal -2 binary64) x)
(*.f64 x #s(literal -2 binary64))
#s(literal -2 binary64)
x
(pow.f64 #s(literal 2 binary64) #s(literal 1/2 binary64))
(sqrt.f64 #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)) #s(literal 1/2 binary64))
(sqrt.f64 (fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x)))
(/.f64 (-.f64 (.f64 (.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))) (.f64 (.f64 x x) (.f64 x x))) (-.f64 (.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (.f64 x x)))
(/.f64 (+.f64 (pow.f64 (.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 3 binary64)) (pow.f64 (.f64 x x) #s(literal 3 binary64))) (fma.f64 (.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (-.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (.f64 x x)))))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))))
(fma.f64 (neg.f64 x) (neg.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))))
(fma.f64 (fabs.f64 x) (fabs.f64 x) (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))))
(fma.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)) (*.f64 x x))
(fma.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x) (*.f64 x x))
(fma.f64 x x (*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))))
(-.f64 (.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (.f64 (neg.f64 x) x))
(+.f64 (.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))) (.f64 x x))
(+.f64 (.f64 x x) (.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) x))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 3/2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(.f64 (.f64 x x) x)
(.f64 x (.f64 x x))
(pow.f64 x #s(literal 3 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 3 binary64)))
#s(literal 3 binary64)
(pow.f64 x #s(literal 1/2 binary64))
(sqrt.f64 x)
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.f64 x))
(*.f64 x x)
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (/ (* -2 x) (sqrt 2)) (*.f64 (/.f64 x (sqrt.f64 #s(literal 2 binary64))) #s(literal -2 binary64)))
#s(approx (* -2 x) (*.f64 #s(literal -2 binary64) x))
#s(approx x x)
#s(approx (sqrt (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x)) (.f64 (.f64 x x) #s(literal 2 binary64)))
#s(approx (* (sqrt (pow x 3)) (sqrt x)) (*.f64 x x))
#s(approx (sqrt (pow x 3)) (pow.f64 x #s(literal 3/2 binary64)))
#s(approx (pow x 3) (pow.f64 x #s(literal 3 binary64)))
#s(approx (sqrt x) (sqrt.f64 x))
#s(approx (* x x) (*.f64 x x))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (neg.f64 (*.f64 (sqrt.f64 #s(literal 2 binary64)) x)))
#s(approx (sqrt (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x))) (neg.f64 (*.f64 #s(literal 0 binary64) x)))
#s(approx (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x)) (.f64 #s(literal 0 binary64) (.f64 x x)))
#s(approx (* (sqrt (pow x 3)) (sqrt x)) (.f64 #s(literal -1 binary64) (.f64 x x)))
#s(approx (sqrt (pow x 3)) (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3/2 binary64))))
#s(approx (sqrt x) (neg.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 x))))

eval4.0ms (0.3%)

Memory: 9.4MiB live, 9.4MiB allocated; 0ms collecting garbage
Compiler: Compiled 825 to 210 computations (74.5% saved)

prune5.0ms (0.4%)

Memory

10.9MiB live, 10.9MiB allocated; 0ms collecting garbage

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	51	3	54
Fresh	0	0	0
Picked	1	1	2
Done	1	4	5
Total	53	8	61

Accuracy

100.0%

Counts

61 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	39.0%	(sqrt.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) (sqrt.f64 x)) (.f64 x x)))
✓	5.4%	(sqrt.f64 #s(approx (+ (pow x 2) (pow x 2)) #s(literal 2 binary64)))
	52.8%	(sqrt.f64 #s(approx (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x)) (.f64 (.f64 x x) #s(literal 2 binary64))))
✓	2.5%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
✓	99.1%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
✓	99.3%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
✓	2.5%	#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
	4.1%	#s(approx (sqrt (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x))) (neg.f64 (*.f64 #s(literal 0 binary64) x)))

Compiler

Compiled 312 to 151 computations (51.6% saved)

regimes23.0ms (1.7%)

Memory

-10.8MiB live, 38.4MiB allocated; 5ms collecting garbage

Counts

15 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x))) (neg.f64 (*.f64 #s(literal 0 binary64) x)))
(sqrt.f64 #s(approx (+ (pow x 2) (pow x 2)) #s(literal 2 binary64)))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(sqrt.f64 #s(approx (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x)) (.f64 (.f64 x x) #s(literal 2 binary64))))
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64))) x))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (/.f64 (*.f64 #s(literal -2 binary64) x) (sqrt.f64 #s(literal 2 binary64))))
#s(approx (sqrt (+ (pow x 2) (pow x 2))) (*.f64 (neg.f64 x) (/.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal 2 binary64)))))
(sqrt.f64 (+.f64 (.f64 (sqrt.f64 (.f64 (.f64 x x) x)) (sqrt.f64 x)) (.f64 x x)))
(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x x)))
(sqrt.f64 (+.f64 (.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 x)) (.f64 x x)))
(/.f64 (sqrt.f64 (.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (.f64 (.f64 x x) (.f64 x x))))
(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 6 binary64)))) (sqrt.f64 (+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 4 binary64)))))

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

Calls

4 calls:

10.0ms	x
4.0ms	(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
4.0ms	(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
4.0ms	(pow.f64 x #s(literal 2 binary64))

Results

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0.4%)

Memory

12.8MiB live, 12.8MiB allocated; 0ms collecting garbage

Counts

2 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x))) (neg.f64 (*.f64 #s(literal 0 binary64) x)))
(sqrt.f64 #s(approx (+ (pow x 2) (pow x 2)) #s(literal 2 binary64)))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
5.4%	1	`(pow.f64 x #s(literal 2 binary64))`
5.4%	1	`(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
5.4%	1	`(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))`
5.4%	1	`x`

Compiler

Compiled 19 to 13 computations (31.6% saved)

regimes5.0ms (0.4%)

Memory

-36.4MiB live, 10.9MiB allocated; 2ms collecting garbage

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (sqrt (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x))) (neg.f64 (*.f64 #s(literal 0 binary64) x)))

Outputs
#s(approx (sqrt (+ (* (sqrt (pow x 3)) (sqrt x)) (* x x))) (neg.f64 (*.f64 #s(literal 0 binary64) x)))

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
4.1%	1	`(pow.f64 x #s(literal 2 binary64))`
4.1%	1	`(+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))`
4.1%	1	`(sqrt.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))`
4.1%	1	`x`

Compiler

Compiled 19 to 13 computations (31.6% saved)

derivations10.0ms (0.7%)

Memory

15.2MiB live, 15.2MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 40 to 23 computations (42.5% saved)

preprocess17.0ms (1.3%)

Memory: -13.6MiB live, 33.0MiB allocated; 2ms collecting garbage
Remove: (abs x)
Compiler: Compiled 128 to 86 computations (32.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze0.0ms (0%)

sample810.0ms (59.5%)

explain122.0ms (9%)

preprocess55.0ms (4%)

series4.0ms (0.3%)

rewrite56.0ms (4.1%)

eval3.0ms (0.2%)

prune3.0ms (0.2%)

series9.0ms (0.6%)

rewrite51.0ms (3.8%)

eval18.0ms (1.3%)

prune5.0ms (0.4%)

series13.0ms (1%)

rewrite71.0ms (5.2%)

eval31.0ms (2.2%)

prune6.0ms (0.4%)

series8.0ms (0.6%)

rewrite28.0ms (2.1%)

eval4.0ms (0.3%)

prune5.0ms (0.4%)

regimes23.0ms (1.7%)

regimes5.0ms (0.4%)

regimes5.0ms (0.4%)

derivations10.0ms (0.7%)

preprocess17.0ms (1.3%)

end0.0ms (0%)

Profiling