Metrics for sqrt A (should all be same)

start0.0ms (0%)

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

analyze0.0ms (0%)

Memory

0.1MiB live, 0.1MiB 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 4 computations (60% saved)

sample471.0ms (32.8%)

Memory

9.2MiB live, 286.8MiB allocated; 37ms collecting garbage

Samples

306.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 162.0ms

ival-hypot: 157.0ms (97.2% of total)

ival-assert: 3.0ms (1.9% of total)

adjust: 2.0ms (1.2% of total)

Bogosity

explain68.0ms (4.7%)

Memory

3.9MiB live, 49.1MiB allocated; 5ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
130	-	4	(-8.612281311137199e-160)	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`
0	-	0	-	`(+.f64 (.f64 x x) (.f64 x x))`
0	-	0	-	`(*.f64 x x)`
0	-	0	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`	oflow-rescue	68	0
↳	`(+.f64 (.f64 x x) (.f64 x x))`	overflow	68
↳	`(*.f64 x x)`	overflow	136
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`	uflow-rescue	58	0
↳	`(+.f64 (.f64 x x) (.f64 x x))`	underflow	58
↳	`(*.f64 x x)`	underflow	116

Confusion

	Predicted +	Predicted -
+	126	4
-	0	126

Precision

1.0

Recall

0.9692307692307692

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	126	0	4
-	0	0	126

Precision?

1.0

Recall?

0.9692307692307692

Freqs

test

number	freq
0	130
1	126

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

26.0ms

512×

valid

Compiler

Compiled 50 to 16 computations (68% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-hypot: 9.0ms (58.8% of total)

ival-mult: 4.0ms (26.1% of total)

ival-add: 2.0ms (13.1% of total)

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

adjust: 0.0ms (0% of total)

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

preprocess228.0ms (15.9%)

Memory

11.6MiB live, 104.6MiB allocated; 5ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	29	19
2	84	19
3	144	19
4	298	19
5	663	19
6	1542	19
7	3518	19
0	4	8
0	7	6
1	17	6
2	54	6
3	135	6
4	264	6
5	612	6
6	1430	6
7	5304	6
0	8068	3

Stop Event

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

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Outputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(hypot.f64 x x)

Symmetry

(abs x)

Compiler

Compiled 8 to 4 computations (50% saved)

eval0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	53.5%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Compiler

Compiled 8 to 4 computations (50% saved)

series21.0ms (1.4%)

Memory

-37.7MiB live, 14.3MiB allocated; 3ms collecting garbage

Counts

4 → 5

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(+.f64 (.f64 x x) (.f64 x x))
(*.f64 x x)
x

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

Calls

3 calls:

Time	Variable		Point	Expression
18.0ms	x	@	-inf	((sqrt (+ (* x x) (* x x))) (+ (* x x) (* x x)) (* x x) x)
1.0ms	x	@	inf	((sqrt (+ (* x x) (* x x))) (+ (* x x) (* x x)) (* x x) x)
1.0ms	x	@	0	((sqrt (+ (* x x) (* x x))) (+ (* x x) (* x x)) (* x x) x)

rewrite63.0ms (4.4%)

Memory

-7.7MiB live, 39.3MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	70
0	23	59
1	60	35
0	352	35

Stop Event

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

Counts

9 → 35

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(+.f64 (.f64 x x) (.f64 x x))
(*.f64 x x)
x
#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 x #s(hole binary64 x))
#s(approx (sqrt (+ (* x x) (* x x))) #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 x) (sqrt.f64 (.f64 #s(literal 2 binary64) x)))
(.f64 (pow.f64 (.f64 x x) #s(literal 1/2 binary64)) (sqrt.f64 #s(literal 2 binary64)))
(.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
(*.f64 (fabs.f64 x) (sqrt.f64 #s(literal 2 binary64)))
(.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 (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 (neg.f64 x)) (neg.f64 (neg.f64 x)))
(*.f64 (neg.f64 (fabs.f64 x)) (neg.f64 (fabs.f64 x)))
(*.f64 (fabs.f64 (fabs.f64 x)) (fabs.f64 (fabs.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (fabs.f64 x) (fabs.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 (fabs.f64 x) #s(literal 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))
(fabs.f64 (*.f64 x x))
(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(approx (sqrt (+ (* x x) (* x x))) (*.f64 (sqrt.f64 #s(literal 2 binary64)) x))
#s(approx (+ (* x x) (* x x)) #s(literal 2 binary64))
#s(approx (* x x) (*.f64 x x))
#s(approx x x)
#s(approx (sqrt (+ (* x x) (* x x))) (*.f64 (neg.f64 x) (sqrt.f64 #s(literal 2 binary64))))

eval6.0ms (0.4%)

Memory: 6.0MiB live, 6.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 546 to 150 computations (72.5% saved)

prune11.0ms (0.8%)

Memory

8.2MiB live, 8.2MiB allocated; 0ms collecting garbage

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	56	2	58
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	3	59

Accuracy

99.8%

Counts

59 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.4%	(.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
▶	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
✓	53.5%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Status

Accuracy

Program

▶

99.4%

(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))

▶

99.3%

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

✓

53.5%

(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))

Compiler

Compiled 22 to 16 computations (27.3% saved)

series5.0ms (0.4%)

Memory

3.9MiB live, 3.9MiB allocated; 0ms collecting garbage

Counts

10 → 10

Calls

Call 1

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

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

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	((* (sqrt 2) (fabs x)) (sqrt 2) 2 (fabs x) x (* (pow x 1/2) (pow (* 2 x) 1/2)) (pow x 1/2) 1/2 (pow (* 2 x) 1/2) (* 2 x))
2.0ms	x	@	inf	((* (sqrt 2) (fabs x)) (sqrt 2) 2 (fabs x) x (* (pow x 1/2) (pow (* 2 x) 1/2)) (pow x 1/2) 1/2 (pow (* 2 x) 1/2) (* 2 x))
1.0ms	x	@	0	((* (sqrt 2) (fabs x)) (sqrt 2) 2 (fabs x) x (* (pow x 1/2) (pow (* 2 x) 1/2)) (pow x 1/2) 1/2 (pow (* 2 x) 1/2) (* 2 x))

Time

Variable

Point

Expression

2.0ms

-inf

((* (sqrt 2) (fabs x)) (sqrt 2) 2 (fabs x) x (* (pow x 1/2) (pow (* 2 x) 1/2)) (pow x 1/2) 1/2 (pow (* 2 x) 1/2) (* 2 x))

2.0ms

inf

((* (sqrt 2) (fabs x)) (sqrt 2) 2 (fabs x) x (* (pow x 1/2) (pow (* 2 x) 1/2)) (pow x 1/2) 1/2 (pow (* 2 x) 1/2) (* 2 x))

1.0ms

((* (sqrt 2) (fabs x)) (sqrt 2) 2 (fabs x) x (* (pow x 1/2) (pow (* 2 x) 1/2)) (pow x 1/2) 1/2 (pow (* 2 x) 1/2) (* 2 x))

rewrite21.0ms (1.4%)

Memory

8.0MiB live, 8.0MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	137
0	50	111
0	120	111

Stop Event

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

Counts

20 → 39

Calls

Call 1

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

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

eval4.0ms (0.3%)

Memory: 4.3MiB live, 4.3MiB allocated; 0ms collecting garbage
Compiler: Compiled 418 to 101 computations (75.8% saved)

prune7.0ms (0.5%)

Memory

6.1MiB live, 6.1MiB allocated; 0ms collecting garbage

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	43	5	48

Accuracy

99.9%

Counts

48 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
▶	99.1%	(.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
▶	99.1%	(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
✓	53.5%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Compiler

Compiled 50 to 34 computations (32% saved)

series105.0ms (7.3%)

Memory

-25.6MiB live, 64.2MiB allocated; 9ms collecting garbage

Counts

14 → 20

Calls

Call 1

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

Outputs
#s(approx (* (* (pow x 1/4) (pow x 1/4)) (pow (* 2 x) 1/2)) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* (pow x 1/4) (pow x 1/4)) #s(hole binary64 (sqrt x)))
#s(approx (pow x 1/4) #s(hole binary64 (pow (* 1 x) 1/4)))
#s(approx x #s(hole binary64 x))
#s(approx (pow (* 2 x) 1/2) #s(hole binary64 (* (sqrt x) (sqrt 2))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* (pow x 1/2) (* (pow (* x 2) 1/4) (pow (* x 2) 1/4))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (pow x 1/2) #s(hole binary64 (sqrt x)))
#s(approx (* (pow (* x 2) 1/4) (pow (* x 2) 1/4)) #s(hole binary64 (* (sqrt x) (sqrt 2))))
#s(approx (pow (* x 2) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log 2) (log x))))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (pow (* x 2) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log 2) (* -1 (log (/ 1 x))))))))
#s(approx (* (* (pow x 1/4) (pow x 1/4)) (pow (* 2 x) 1/2)) #s(hole binary64 (* -1 (* x (* (sqrt -2) (sqrt -1))))))
#s(approx (* (pow x 1/4) (pow x 1/4)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (pow x 1/4) #s(hole binary64 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))))
#s(approx (pow (* 2 x) 1/2) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))))
#s(approx (* (pow x 1/2) (* (pow (* x 2) 1/4) (pow (* x 2) 1/4))) #s(hole binary64 (* -1 (* x (* (sqrt -2) (sqrt -1))))))
#s(approx (pow x 1/2) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (pow (* x 2) 1/4) (pow (* x 2) 1/4)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))))
#s(approx (pow (* x 2) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log -2) (* -1 (log (/ -1 x))))))))

Calls

3 calls:

Time	Variable		Point	Expression
46.0ms	x	@	0	((* (* (pow x 1/4) (pow x 1/4)) (pow (* 2 x) 1/2)) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) x 1/4 (pow (* 2 x) 1/2) (* 2 x) 2 1/2 (* (pow x 1/2) (* (pow (* x 2) 1/4) (pow (* x 2) 1/4))) (pow x 1/2) (* (pow (* x 2) 1/4) (pow (* x 2) 1/4)) (pow (* x 2) 1/4) (* x 2))
45.0ms	x	@	-inf	((* (* (pow x 1/4) (pow x 1/4)) (pow (* 2 x) 1/2)) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) x 1/4 (pow (* 2 x) 1/2) (* 2 x) 2 1/2 (* (pow x 1/2) (* (pow (* x 2) 1/4) (pow (* x 2) 1/4))) (pow x 1/2) (* (pow (* x 2) 1/4) (pow (* x 2) 1/4)) (pow (* x 2) 1/4) (* x 2))
13.0ms	x	@	inf	((* (* (pow x 1/4) (pow x 1/4)) (pow (* 2 x) 1/2)) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) x 1/4 (pow (* 2 x) 1/2) (* 2 x) 2 1/2 (* (pow x 1/2) (* (pow (* x 2) 1/4) (pow (* x 2) 1/4))) (pow x 1/2) (* (pow (* x 2) 1/4) (pow (* x 2) 1/4)) (pow (* x 2) 1/4) (* x 2))

Time

Variable

Point

Expression

46.0ms

((* (* (pow x 1/4) (pow x 1/4)) (pow (* 2 x) 1/2)) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) x 1/4 (pow (* 2 x) 1/2) (* 2 x) 2 1/2 (* (pow x 1/2) (* (pow (* x 2) 1/4) (pow (* x 2) 1/4))) (pow x 1/2) (* (pow (* x 2) 1/4) (pow (* x 2) 1/4)) (pow (* x 2) 1/4) (* x 2))

45.0ms

-inf

((* (* (pow x 1/4) (pow x 1/4)) (pow (* 2 x) 1/2)) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) x 1/4 (pow (* 2 x) 1/2) (* 2 x) 2 1/2 (* (pow x 1/2) (* (pow (* x 2) 1/4) (pow (* x 2) 1/4))) (pow x 1/2) (* (pow (* x 2) 1/4) (pow (* x 2) 1/4)) (pow (* x 2) 1/4) (* x 2))

13.0ms

inf

((* (* (pow x 1/4) (pow x 1/4)) (pow (* 2 x) 1/2)) (* (pow x 1/4) (pow x 1/4)) (pow x 1/4) x 1/4 (pow (* 2 x) 1/2) (* 2 x) 2 1/2 (* (pow x 1/2) (* (pow (* x 2) 1/4) (pow (* x 2) 1/4))) (pow x 1/2) (* (pow (* x 2) 1/4) (pow (* x 2) 1/4)) (pow (* x 2) 1/4) (* x 2))

rewrite32.0ms (2.2%)

Memory

13.3MiB live, 13.3MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	85	362
0	100	241
0	322	241

Stop Event

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

Counts

34 → 86

Calls

Call 1

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

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

eval8.0ms (0.5%)

Memory: 8.8MiB live, 8.8MiB allocated; 0ms collecting garbage
Compiler: Compiled 1 376 to 212 computations (84.6% saved)

prune20.0ms (1.4%)

Memory

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

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	78	6	84
Fresh	0	0	0
Picked	1	1	2
Done	0	3	3
Total	79	10	89

Accuracy

100.0%

Counts

89 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.4%	(.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
✓	99.1%	(.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
	99.0%	(.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)))))
▶	94.3%	(.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (exp.f64 (.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)))))
▶	99.0%	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
▶	98.9%	(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))
▶	99.0%	(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
▶	99.0%	(.f64 (.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
✓	53.5%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Compiler

Compiled 225 to 151 computations (32.9% saved)

series116.0ms (8.1%)

Memory

-13.9MiB live, 132.3MiB allocated; 28ms collecting garbage

Counts

31 → 55

Calls

Call 1

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

Outputs
#s(approx (* (pow x 1/4) (* (pow x 1/4) (sqrt (* 2 x)))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (pow x 1/4) #s(hole binary64 (pow (* 1 x) 1/4)))
#s(approx x #s(hole binary64 x))
#s(approx (* (pow x 1/4) (sqrt (* 2 x))) #s(hole binary64 (* (pow (* 1 (pow x 3)) 1/4) (sqrt 2))))
#s(approx (sqrt (* 2 x)) #s(hole binary64 (* (sqrt x) (sqrt 2))))
#s(approx (* 2 x) #s(hole binary64 (* 2 x)))
#s(approx (* (* (sqrt x) (pow (* 2 x) 1/4)) (pow (* 2 x) 1/4)) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* (sqrt x) (pow (* 2 x) 1/4)) #s(hole binary64 (exp (* 1/4 (+ (log 2) (* 3 (log x)))))))
#s(approx (sqrt x) #s(hole binary64 (sqrt x)))
#s(approx (pow (* 2 x) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log 2) (log x))))))
#s(approx (* (* (pow x 1/4) (* (pow x 1/8) (pow x 1/8))) (pow (* 2 x) 1/2)) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* (pow x 1/4) (* (pow x 1/8) (pow x 1/8))) #s(hole binary64 (sqrt x)))
#s(approx (* (pow x 1/8) (pow x 1/8)) #s(hole binary64 (pow (* 1 x) 1/4)))
#s(approx (pow x 1/8) #s(hole binary64 (pow (* 1 x) 1/8)))
#s(approx (pow (* 2 x) 1/2) #s(hole binary64 (* (sqrt x) (sqrt 2))))
#s(approx (* (* (pow x 1/4) (pow x 1/4)) (* (sqrt x) (sqrt 2))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (* (pow x 1/4) (pow x 1/4)) #s(hole binary64 (sqrt x)))
#s(approx (* (sqrt x) (sqrt 2)) #s(hole binary64 (* (sqrt x) (sqrt 2))))
#s(approx (* (pow x 1/2) (* (pow (* x 2) 1/4) (exp (* (log (* 2 x)) 1/4)))) #s(hole binary64 (* x (sqrt 2))))
#s(approx (pow x 1/2) #s(hole binary64 (sqrt x)))
#s(approx (* (pow (* x 2) 1/4) (exp (* (log (* 2 x)) 1/4))) #s(hole binary64 (* (sqrt x) (sqrt 2))))
#s(approx (pow (* x 2) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log 2) (log x))))))
#s(approx (* x 2) #s(hole binary64 (* 2 x)))
#s(approx (exp (* (log (* 2 x)) 1/4)) #s(hole binary64 (exp (* 1/4 (+ (log 2) (log x))))))
#s(approx (* (log (* 2 x)) 1/4) #s(hole binary64 (* 1/4 (+ (log 2) (log x)))))
#s(approx (log (* 2 x)) #s(hole binary64 (+ (log 2) (log x))))
#s(approx (* (sqrt x) (pow (* 2 x) 1/4)) #s(hole binary64 (exp (* 1/4 (+ (log 2) (* -3 (log (/ 1 x))))))))
#s(approx (pow (* 2 x) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log 2) (* -1 (log (/ 1 x))))))))
#s(approx (pow (* x 2) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log 2) (* -1 (log (/ 1 x))))))))
#s(approx (exp (* (log (* 2 x)) 1/4)) #s(hole binary64 (exp (* 1/4 (+ (log 2) (* -1 (log (/ 1 x))))))))
#s(approx (* (log (* 2 x)) 1/4) #s(hole binary64 (* 1/4 (+ (log 2) (* -1 (log (/ 1 x)))))))
#s(approx (log (* 2 x)) #s(hole binary64 (+ (log 2) (* -1 (log (/ 1 x))))))
#s(approx (* (pow x 1/4) (* (pow x 1/4) (sqrt (* 2 x)))) #s(hole binary64 (* -1 (* x (* (sqrt -2) (sqrt -1))))))
#s(approx (pow x 1/4) #s(hole binary64 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))))
#s(approx (* (pow x 1/4) (sqrt (* 2 x))) #s(hole binary64 (* (exp (* 1/4 (+ (log -1) (* -3 (log (/ -1 x)))))) (sqrt -2))))
#s(approx (sqrt (* 2 x)) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))))
#s(approx (* (* (sqrt x) (pow (* 2 x) 1/4)) (pow (* 2 x) 1/4)) #s(hole binary64 (* -1 (* x (* (sqrt -2) (sqrt -1))))))
#s(approx (* (sqrt x) (pow (* 2 x) 1/4)) #s(hole binary64 (* (exp (* 1/4 (+ (log -2) (* -3 (log (/ -1 x)))))) (sqrt -1))))
#s(approx (sqrt x) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (pow (* 2 x) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log -2) (* -1 (log (/ -1 x))))))))
#s(approx (* (* (pow x 1/4) (* (pow x 1/8) (pow x 1/8))) (pow (* 2 x) 1/2)) #s(hole binary64 (* -1 (* x (* (sqrt -2) (sqrt -1))))))
#s(approx (* (pow x 1/4) (* (pow x 1/8) (pow x 1/8))) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (pow x 1/8) (pow x 1/8)) #s(hole binary64 (exp (* 1/4 (+ (log -1) (* -1 (log (/ -1 x))))))))
#s(approx (pow x 1/8) #s(hole binary64 (exp (* 1/8 (+ (log -1) (* -1 (log (/ -1 x))))))))
#s(approx (pow (* 2 x) 1/2) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))))
#s(approx (* (* (pow x 1/4) (pow x 1/4)) (* (sqrt x) (sqrt 2))) #s(hole binary64 (* -1 (* x (* (pow (sqrt -1) 2) (sqrt 2))))))
#s(approx (* (pow x 1/4) (pow x 1/4)) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (sqrt x) (sqrt 2)) #s(hole binary64 (* -1 (* (sqrt x) (* (pow (sqrt -1) 2) (sqrt 2))))))
#s(approx (* (pow x 1/2) (* (pow (* x 2) 1/4) (exp (* (log (* 2 x)) 1/4)))) #s(hole binary64 (* -1 (* x (* (sqrt -2) (sqrt -1))))))
#s(approx (pow x 1/2) #s(hole binary64 (* -1 (* (sqrt x) (pow (sqrt -1) 2)))))
#s(approx (* (pow (* x 2) 1/4) (exp (* (log (* 2 x)) 1/4))) #s(hole binary64 (* -1 (* (sqrt x) (* (sqrt -2) (sqrt -1))))))
#s(approx (pow (* x 2) 1/4) #s(hole binary64 (exp (* 1/4 (+ (log -2) (* -1 (log (/ -1 x))))))))
#s(approx (exp (* (log (* 2 x)) 1/4)) #s(hole binary64 (exp (* 1/4 (+ (log -2) (* -1 (log (/ -1 x))))))))
#s(approx (* (log (* 2 x)) 1/4) #s(hole binary64 (* 1/4 (+ (log -2) (* -1 (log (/ -1 x)))))))
#s(approx (log (* 2 x)) #s(hole binary64 (+ (log -2) (* -1 (log (/ -1 x))))))

Calls

3 calls:

Time	Variable		Point	Expression
48.0ms	x	@	0	((* (pow x 1/4) (* (pow x 1/4) (sqrt (* 2 x)))) (pow x 1/4) x 1/4 (* (pow x 1/4) (sqrt (* 2 x))) (sqrt (* 2 x)) (* 2 x) 2 (* (* (sqrt x) (pow (* 2 x) 1/4)) (pow (* 2 x) 1/4)) (* (sqrt x) (pow (* 2 x) 1/4)) (sqrt x) (pow (* 2 x) 1/4) (* (* (pow x 1/4) (* (pow x 1/8) (pow x 1/8))) (pow (* 2 x) 1/2)) (* (pow x 1/4) (* (pow x 1/8) (pow x 1/8))) (* (pow x 1/8) (pow x 1/8)) (pow x 1/8) 1/8 (pow (* 2 x) 1/2) 1/2 (* (* (pow x 1/4) (pow x 1/4)) (* (sqrt x) (sqrt 2))) (* (pow x 1/4) (pow x 1/4)) (* (sqrt x) (sqrt 2)) (sqrt 2) (* (pow x 1/2) (* (pow (* x 2) 1/4) (exp (* (log (* 2 x)) 1/4)))) (pow x 1/2) (* (pow (* x 2) 1/4) (exp (* (log (* 2 x)) 1/4))) (pow (* x 2) 1/4) (* x 2) (exp (* (log (* 2 x)) 1/4)) (* (log (* 2 x)) 1/4) (log (* 2 x)))
34.0ms	x	@	-inf	((* (pow x 1/4) (* (pow x 1/4) (sqrt (* 2 x)))) (pow x 1/4) x 1/4 (* (pow x 1/4) (sqrt (* 2 x))) (sqrt (* 2 x)) (* 2 x) 2 (* (* (sqrt x) (pow (* 2 x) 1/4)) (pow (* 2 x) 1/4)) (* (sqrt x) (pow (* 2 x) 1/4)) (sqrt x) (pow (* 2 x) 1/4) (* (* (pow x 1/4) (* (pow x 1/8) (pow x 1/8))) (pow (* 2 x) 1/2)) (* (pow x 1/4) (* (pow x 1/8) (pow x 1/8))) (* (pow x 1/8) (pow x 1/8)) (pow x 1/8) 1/8 (pow (* 2 x) 1/2) 1/2 (* (* (pow x 1/4) (pow x 1/4)) (* (sqrt x) (sqrt 2))) (* (pow x 1/4) (pow x 1/4)) (* (sqrt x) (sqrt 2)) (sqrt 2) (* (pow x 1/2) (* (pow (* x 2) 1/4) (exp (* (log (* 2 x)) 1/4)))) (pow x 1/2) (* (pow (* x 2) 1/4) (exp (* (log (* 2 x)) 1/4))) (pow (* x 2) 1/4) (* x 2) (exp (* (log (* 2 x)) 1/4)) (* (log (* 2 x)) 1/4) (log (* 2 x)))
32.0ms	x	@	inf	((* (pow x 1/4) (* (pow x 1/4) (sqrt (* 2 x)))) (pow x 1/4) x 1/4 (* (pow x 1/4) (sqrt (* 2 x))) (sqrt (* 2 x)) (* 2 x) 2 (* (* (sqrt x) (pow (* 2 x) 1/4)) (pow (* 2 x) 1/4)) (* (sqrt x) (pow (* 2 x) 1/4)) (sqrt x) (pow (* 2 x) 1/4) (* (* (pow x 1/4) (* (pow x 1/8) (pow x 1/8))) (pow (* 2 x) 1/2)) (* (pow x 1/4) (* (pow x 1/8) (pow x 1/8))) (* (pow x 1/8) (pow x 1/8)) (pow x 1/8) 1/8 (pow (* 2 x) 1/2) 1/2 (* (* (pow x 1/4) (pow x 1/4)) (* (sqrt x) (sqrt 2))) (* (pow x 1/4) (pow x 1/4)) (* (sqrt x) (sqrt 2)) (sqrt 2) (* (pow x 1/2) (* (pow (* x 2) 1/4) (exp (* (log (* 2 x)) 1/4)))) (pow x 1/2) (* (pow (* x 2) 1/4) (exp (* (log (* 2 x)) 1/4))) (pow (* x 2) 1/4) (* x 2) (exp (* (log (* 2 x)) 1/4)) (* (log (* 2 x)) 1/4) (log (* 2 x)))

Time

Variable

Point

Expression

48.0ms

((* (pow x 1/4) (* (pow x 1/4) (sqrt (* 2 x)))) (pow x 1/4) x 1/4 (* (pow x 1/4) (sqrt (* 2 x))) (sqrt (* 2 x)) (* 2 x) 2 (* (* (sqrt x) (pow (* 2 x) 1/4)) (pow (* 2 x) 1/4)) (* (sqrt x) (pow (* 2 x) 1/4)) (sqrt x) (pow (* 2 x) 1/4) (* (* (pow x 1/4) (* (pow x 1/8) (pow x 1/8))) (pow (* 2 x) 1/2)) (* (pow x 1/4) (* (pow x 1/8) (pow x 1/8))) (* (pow x 1/8) (pow x 1/8)) (pow x 1/8) 1/8 (pow (* 2 x) 1/2) 1/2 (* (* (pow x 1/4) (pow x 1/4)) (* (sqrt x) (sqrt 2))) (* (pow x 1/4) (pow x 1/4)) (* (sqrt x) (sqrt 2)) (sqrt 2) (* (pow x 1/2) (* (pow (* x 2) 1/4) (exp (* (log (* 2 x)) 1/4)))) (pow x 1/2) (* (pow (* x 2) 1/4) (exp (* (log (* 2 x)) 1/4))) (pow (* x 2) 1/4) (* x 2) (exp (* (log (* 2 x)) 1/4)) (* (log (* 2 x)) 1/4) (log (* 2 x)))

34.0ms

-inf

((* (pow x 1/4) (* (pow x 1/4) (sqrt (* 2 x)))) (pow x 1/4) x 1/4 (* (pow x 1/4) (sqrt (* 2 x))) (sqrt (* 2 x)) (* 2 x) 2 (* (* (sqrt x) (pow (* 2 x) 1/4)) (pow (* 2 x) 1/4)) (* (sqrt x) (pow (* 2 x) 1/4)) (sqrt x) (pow (* 2 x) 1/4) (* (* (pow x 1/4) (* (pow x 1/8) (pow x 1/8))) (pow (* 2 x) 1/2)) (* (pow x 1/4) (* (pow x 1/8) (pow x 1/8))) (* (pow x 1/8) (pow x 1/8)) (pow x 1/8) 1/8 (pow (* 2 x) 1/2) 1/2 (* (* (pow x 1/4) (pow x 1/4)) (* (sqrt x) (sqrt 2))) (* (pow x 1/4) (pow x 1/4)) (* (sqrt x) (sqrt 2)) (sqrt 2) (* (pow x 1/2) (* (pow (* x 2) 1/4) (exp (* (log (* 2 x)) 1/4)))) (pow x 1/2) (* (pow (* x 2) 1/4) (exp (* (log (* 2 x)) 1/4))) (pow (* x 2) 1/4) (* x 2) (exp (* (log (* 2 x)) 1/4)) (* (log (* 2 x)) 1/4) (log (* 2 x)))

32.0ms

inf

((* (pow x 1/4) (* (pow x 1/4) (sqrt (* 2 x)))) (pow x 1/4) x 1/4 (* (pow x 1/4) (sqrt (* 2 x))) (sqrt (* 2 x)) (* 2 x) 2 (* (* (sqrt x) (pow (* 2 x) 1/4)) (pow (* 2 x) 1/4)) (* (sqrt x) (pow (* 2 x) 1/4)) (sqrt x) (pow (* 2 x) 1/4) (* (* (pow x 1/4) (* (pow x 1/8) (pow x 1/8))) (pow (* 2 x) 1/2)) (* (pow x 1/4) (* (pow x 1/8) (pow x 1/8))) (* (pow x 1/8) (pow x 1/8)) (pow x 1/8) 1/8 (pow (* 2 x) 1/2) 1/2 (* (* (pow x 1/4) (pow x 1/4)) (* (sqrt x) (sqrt 2))) (* (pow x 1/4) (pow x 1/4)) (* (sqrt x) (sqrt 2)) (sqrt 2) (* (pow x 1/2) (* (pow (* x 2) 1/4) (exp (* (log (* 2 x)) 1/4)))) (pow x 1/2) (* (pow (* x 2) 1/4) (exp (* (log (* 2 x)) 1/4))) (pow (* x 2) 1/4) (* x 2) (exp (* (log (* 2 x)) 1/4)) (* (log (* 2 x)) 1/4) (log (* 2 x)))

rewrite53.0ms (3.7%)

Memory

-21.5MiB live, 25.6MiB allocated; 2ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	181	1088
0	230	777
0	627	773

Stop Event

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

Counts

86 → 228

Calls

Call 1

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

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

eval21.0ms (1.4%)

Memory: 23.0MiB live, 23.0MiB allocated; 0ms collecting garbage
Compiler: Compiled 4 031 to 551 computations (86.3% saved)

prune81.0ms (5.6%)

Memory

-0.1MiB live, 48.4MiB allocated; 4ms collecting garbage

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	225	3	228
Fresh	0	1	1
Picked	2	3	5
Done	2	2	4
Total	229	9	238

Accuracy

100.0%

Counts

238 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.0%	(.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)))))
✓	99.0%	(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
✓	98.9%	(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))
✓	99.0%	(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
	99.0%	(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/16 binary64)) (pow.f64 x #s(literal 1/16 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
	98.8%	(.f64 (.f64 (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
	99.0%	(.f64 (.f64 (sqrt.f64 x) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
✓	99.3%	(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
✓	53.5%	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Compiler

Compiled 348 to 145 computations (58.3% saved)

regimes15.0ms (1%)

Memory

14.6MiB live, 14.6MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(.f64 (.f64 (sqrt.f64 x) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/16 binary64)) (pow.f64 x #s(literal 1/16 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
(.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (exp.f64 (.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)))))
(.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)))))
(.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))
(.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))

Outputs
(.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))

Calls

4 calls:

4.0ms	x
3.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
3.0ms	(*.f64 x x)
3.0ms	(+.f64 (.f64 x x) (.f64 x x))

Results

Accuracy	Segments	Branch
99.4%	1	`(*.f64 x x)`
99.4%	1	`(+.f64 (.f64 x x) (.f64 x x))`
99.4%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`
99.4%	1	`x`

Compiler

Compiled 19 to 10 computations (47.4% saved)

regimes15.0ms (1%)

Memory

-33.7MiB live, 13.5MiB allocated; 1ms collecting garbage

Counts

13 → 1

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
(*.f64 (sqrt.f64 #s(literal 2 binary64)) (fabs.f64 x))
(.f64 (.f64 (sqrt.f64 x) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 x) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (.f64 (.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 x #s(literal 1/8 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/4 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (.f64 (pow.f64 x #s(literal 1/16 binary64)) (pow.f64 x #s(literal 1/16 binary64))))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (sqrt.f64 x) (sqrt.f64 #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))
(.f64 (pow.f64 x #s(literal 1/4 binary64)) (.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (*.f64 #s(literal 2 binary64) x))))
(.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (exp.f64 (.f64 (log.f64 (*.f64 #s(literal 2 binary64) x)) #s(literal 1/4 binary64)))))
(.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (.f64 (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)) (pow.f64 (.f64 #s(literal 2 binary64) x) #s(literal 1/8 binary64)))))
(.f64 (pow.f64 x #s(literal 1/2 binary64)) (.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64))))

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

Calls

4 calls:

4.0ms	x
3.0ms	(+.f64 (.f64 x x) (.f64 x x))
3.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
3.0ms	(*.f64 x x)

Results

Accuracy	Segments	Branch
99.3%	1	`(*.f64 x x)`
99.3%	1	`(+.f64 (.f64 x x) (.f64 x x))`
99.3%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`
99.3%	1	`x`

Compiler

Compiled 19 to 10 computations (47.4% saved)

regimes4.0ms (0.3%)

Memory

6.2MiB live, 6.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Outputs
(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))

Calls

4 calls:

1.0ms	x
1.0ms	(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))
1.0ms	(*.f64 x x)
1.0ms	(+.f64 (.f64 x x) (.f64 x x))

Results

Accuracy	Segments	Branch
53.5%	1	`(*.f64 x x)`
53.5%	1	`(+.f64 (.f64 x x) (.f64 x x))`
53.5%	1	`(sqrt.f64 (+.f64 (.f64 x x) (.f64 x x)))`
53.5%	1	`x`

Compiler

Compiled 19 to 10 computations (47.4% saved)

simplify37.0ms (2.6%)

Memory

19.7MiB live, 19.7MiB allocated; 0ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	17	22
2	26	22
3	42	22
4	100	22
5	487	22
6	3619	22

Stop Event

1×	node limit

Calls

Call 1

Inputs

(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))

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

(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))

Outputs

(*.f64 (pow.f64 x #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)))

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

(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 x x)))

derivations4.0ms (0.3%)

Memory

2.0MiB live, 2.0MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 22 to 13 computations (40.9% saved)

preprocess22.0ms (1.5%)

Memory: -28.3MiB live, 18.4MiB allocated; 2ms collecting garbage
Compiler: Compiled 96 to 62 computations (35.4% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze0.0ms (0%)

sample471.0ms (32.8%)

explain68.0ms (4.7%)

preprocess228.0ms (15.9%)

eval0.0ms (0%)

prune0.0ms (0%)

series21.0ms (1.4%)

rewrite63.0ms (4.4%)

eval6.0ms (0.4%)

prune11.0ms (0.8%)

series5.0ms (0.4%)

rewrite21.0ms (1.4%)

eval4.0ms (0.3%)

prune7.0ms (0.5%)

series105.0ms (7.3%)

rewrite32.0ms (2.2%)

eval8.0ms (0.5%)

prune20.0ms (1.4%)

series116.0ms (8.1%)

rewrite53.0ms (3.7%)

eval21.0ms (1.4%)

prune81.0ms (5.6%)

regimes15.0ms (1%)

regimes15.0ms (1%)

regimes4.0ms (0.3%)

simplify37.0ms (2.6%)

derivations4.0ms (0.3%)

preprocess22.0ms (1.5%)

end0.0ms (0%)

Profiling