Metrics for Numeric.SpecFunctions:$slogFactorial from math-functions-0.1.5.2, A

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze1.0ms (0.1%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample536.0ms (41.7%)

Memory

10.1MiB live, 643.1MiB allocated

Samples

292.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 125.0ms

ival-mult: 62.0ms (49.5% of total)

ival-div: 51.0ms (40.7% of total)

ival-true: 5.0ms (4% of total)

exact: 4.0ms (3.2% of total)

ival-assert: 2.0ms (1.6% of total)

Bogosity

explain46.0ms (3.5%)

Memory

-7.2MiB live, 74.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
1	1	(-2.4713212989713475e+161)	-	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`
0	0	-	-	`#s(literal 1 binary64)`
0	0	-	-	`(*.f64 x x)`
0	0	-	-	`x`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`/.f64`	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`	n/o	2	0
↳	`(*.f64 x x)`	overflow	72

Confusion

	Predicted +	Predicted -
+	1	0
-	1	254

Precision

0.5

Recall

1.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	1	0	254

Precision?

0.5

Recall?

1.0

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

20.0ms

512×

valid

Compiler

Compiled 39 to 20 computations (48.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

ival-mult: 4.0ms (52% of total)

ival-div: 3.0ms (39% of total)

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

exact: 0.0ms (0% of total)

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

preprocess13.0ms (1%)

Memory

23.0MiB live, 23.0MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	24	10
2	64	10
3	93	10
4	109	10
0	4	5
0	6	5
1	14	5
2	31	5
3	57	5
4	80	5
5	91	5
6	92	5
0	92	5

Stop Event

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

Calls

Call 1

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

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

Symmetry

(abs x)

Compiler

Compiled 5 to 4 computations (20% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Compiler

Compiled 5 to 4 computations (20% saved)

simplify4.0ms (0.3%)

Memory

5.9MiB live, 5.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(*.f64 x x)
cost-diff	0	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	10
0	6	10
1	14	10
2	31	10
3	57	10
4	80	10
5	91	10
6	92	10
0	92	10

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize16.0ms (1.2%)

Memory

-14.9MiB live, 23.5MiB allocated

Localize:

Found 2 expressions of interest:

New	Metric	Score	Program
accuracy	0.0	(*.f64 x x)
accuracy	0.3411349112208082	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Samples

12.0ms

256×

valid

Compiler

Compiled 22 to 10 computations (54.5% saved)

Precisions

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

ival-div: 4.0ms (57.7% of total)

ival-mult: 3.0ms (43.3% of total)

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

exact: 0.0ms (0% of total)

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

series1.0ms (0.1%)

Memory

2.6MiB live, 2.6MiB allocated

Counts

2 → 2

Calls

Call 1

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

Outputs
(/ 1 (pow x 2))
(pow x 2)

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	((/ 1 (* x x)) (* x x))
0.0ms	x	@	inf	((/ 1 (* x x)) (* x x))
0.0ms	x	@	-inf	((/ 1 (* x x)) (* x x))

simplify4.0ms (0.3%)

Memory

4.7MiB live, 4.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	9	8
2	15	8
3	32	8
4	58	8
5	81	8
6	92	8
7	92	8
0	92	8

Stop Event

1×	iter limit
1×	saturated

Counts

2 → 2

Calls

Call 1

Inputs
(/ 1 (pow x 2))
(pow x 2)

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

rewrite56.0ms (4.3%)

Memory

-7.7MiB live, 69.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	22	6
2	76	6
3	255	6
0	741	6

Stop Event

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

Counts

2 → 50

Calls

Call 1

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

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

eval5.0ms (0.4%)

Memory: 11.0MiB live, 11.0MiB allocated
Compiler: Compiled 559 to 134 computations (76% saved)

prune2.0ms (0.1%)

Memory

5.1MiB live, 5.1MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	50	2	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	50	3	53

Accuracy

100.0%

Counts

53 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 x #s(literal -2 binary64))
▶	99.3%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify17.0ms (1.3%)

Memory

-43.3MiB live, 9.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	29
0	13	29
1	21	21
2	32	21
3	65	21
4	138	21
5	167	21
6	172	21
0	172	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize25.0ms (2%)

Memory

1.9MiB live, 40.2MiB allocated

Localize:

Found 5 expressions of interest:

New	Metric	Score
accuracy	0.0	(pow.f64 x #s(literal -2 binary64))
accuracy	0.0	(sqrt.f64 x)
accuracy	0.17578125	(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
accuracy	0.1796875	(*.f64 x (sqrt.f64 x))
accuracy	0.3411349112208082	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))

Samples

16.0ms

256×

valid

Compiler

Compiled 60 to 18 computations (70% saved)

Precisions

Click to see histograms. Total time spent on operations: 9.0ms

ival-mult: 3.0ms (31.7% of total)

ival-pow: 3.0ms (31.7% of total)

ival-div: 2.0ms (21.1% of total)

ival-sqrt: 2.0ms (21.1% of total)

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

exact: 0.0ms (0% of total)

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

series6.0ms (0.4%)

Memory

9.8MiB live, 9.8MiB allocated

Counts

5 → 8

Calls

Call 1

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

Outputs
(pow x 2)
(/ 1 (pow x 2))
(sqrt (pow x 3))
(sqrt x)
(* -1 (* (pow x 2) (pow (sqrt -1) 2)))
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))
(* -1 (* (sqrt (pow x 3)) (pow (sqrt -1) 2)))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	((* (* x (sqrt x)) (sqrt x)) (/ 1 (* (* x (sqrt x)) (sqrt x))) (* x (sqrt x)) (sqrt x) (pow x -2))
1.0ms	x	@	0	((* (* x (sqrt x)) (sqrt x)) (/ 1 (* (* x (sqrt x)) (sqrt x))) (* x (sqrt x)) (sqrt x) (pow x -2))
1.0ms	x	@	inf	((* (* x (sqrt x)) (sqrt x)) (/ 1 (* (* x (sqrt x)) (sqrt x))) (* x (sqrt x)) (sqrt x) (pow x -2))

Time

Variable

Point

Expression

3.0ms

-inf

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

1.0ms

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

1.0ms

inf

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

simplify22.0ms (1.7%)

Memory

-10.0MiB live, 28.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	28
1	43	28
2	126	28
3	317	28
4	860	28
5	1443	28
6	1461	28
7	1461	28
8	1503	28
0	1503	28

Stop Event

1×	iter limit
1×	saturated

Counts

8 → 8

Calls

Call 1

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

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

rewrite107.0ms (8.3%)

Memory

34.0MiB live, 150.3MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	25
0	13	31
1	36	14
2	114	14
3	484	14
4	3538	14
0	8426	14

Stop Event

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

Counts

5 → 499

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 x #s(literal 15/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(*.f64 (pow.f64 x #s(literal 7/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (pow.f64 x #s(literal 5/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/8 binary64)) (pow.f64 x #s(literal 15/8 binary64)))
(*.f64 (pow.f64 x #s(literal 3/4 binary64)) (pow.f64 x #s(literal 5/4 binary64)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 x #s(literal 7/4 binary64)))
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(exp.f64 (.f64 (.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal -2 binary64)) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal -4 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal 1/2 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (/.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -4 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal 2 binary64)) #s(literal -4 binary64)))
(exp.f64 (.f64 (.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1/4 binary64)) #s(literal -4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal 1 binary64)) #s(literal -4 binary64)))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (.f64 #s(literal 2 binary64) (log.f64 x))))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -4 binary64))) (log.f64 (sqrt.f64 x))))
(exp.f64 (.f64 (.f64 #s(literal -1/2 binary64) (log.f64 x)) #s(literal 4 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 1/4 binary64) (log.f64 x)) #s(literal -8 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -4 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal -2 binary64)))
(+.f64 (cosh.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/2 binary64))) (sinh.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/2 binary64))))
(+.f64 (cosh.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal -4 binary64))) (sinh.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal -4 binary64))))
(+.f64 (.f64 (cosh.f64 (log.f64 x)) (pow.f64 x #s(literal -1 binary64))) (.f64 (sinh.f64 (neg.f64 (log.f64 x))) (pow.f64 x #s(literal -1 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (cosh.f64 (log.f64 x))) (.f64 (pow.f64 x #s(literal -1 binary64)) (sinh.f64 (neg.f64 (log.f64 x)))))
(+.f64 (/.f64 (pow.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (fma.f64 (log.f64 x) #s(literal -2 binary64) (.f64 (log.f64 x) #s(literal -2 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))))) (/.f64 (pow.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) #s(literal 3 binary64)) (-.f64 (cosh.f64 (fma.f64 (log.f64 x) #s(literal -2 binary64) (.f64 (log.f64 x) #s(literal -2 binary64)))) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x)))))))
(+.f64 (/.f64 (cosh.f64 (log.f64 x)) x) (/.f64 (sinh.f64 (neg.f64 (log.f64 x))) x))
(+.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))) (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))))
(+.f64 (cosh.f64 (.f64 #s(literal 2 binary64) (log.f64 x))) (sinh.f64 (.f64 (log.f64 x) #s(literal -2 binary64))))

eval53.0ms (4.1%)

Memory: -22.1MiB live, 97.2MiB allocated
Compiler: Compiled 4 990 to 1 185 computations (76.3% saved)

prune6.0ms (0.5%)

Memory

23.0MiB live, 23.0MiB allocated

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	399	1	400
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	399	4	403

Accuracy

100.0%

Counts

403 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 x #s(literal -2 binary64))
✓	99.3%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
▶	99.7%	#s(approx (/ 1 (* (* x (sqrt x)) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify7.0ms (0.6%)

Memory

-30.5MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
cost-diff	0	(/.f64 #s(literal 1 binary64) x)
cost-diff	0	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
cost-diff	0	#s(approx (/ 1 (* (* x (sqrt x)) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
0	11	25
1	21	21
2	34	21
3	76	21
4	144	21
5	161	21
6	166	21
0	166	21

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize21.0ms (1.7%)

Memory

8.2MiB live, 47.1MiB allocated

Localize:

Found 3 expressions of interest:

New	Metric	Score
accuracy	0.0	(/.f64 #s(literal 1 binary64) x)
accuracy	0.0	#s(approx (/ 1 (* (* x (sqrt x)) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
accuracy	0.1796875	(/.f64 (/.f64 #s(literal 1 binary64) x) x)

Samples

16.0ms

256×

valid

Compiler

Compiled 46 to 20 computations (56.5% saved)

Precisions

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

ival-div: 4.0ms (37.9% of total)

ival-mult: 3.0ms (28.4% of total)

ival-sqrt: 3.0ms (28.4% of total)

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

exact: 0.0ms (0% of total)

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

series2.0ms (0.1%)

Memory

3.4MiB live, 3.4MiB allocated

Counts

3 → 3

Calls

Call 1

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

Outputs
(/ 1 (pow x 2))
(/ 1 x)
(/ -1 (* (pow x 2) (pow (sqrt -1) 2)))

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	((/ 1 (* (* x (sqrt x)) (sqrt x))) (/ (/ 1 x) x) (/ 1 x))
1.0ms	x	@	0	((/ 1 (* (* x (sqrt x)) (sqrt x))) (/ (/ 1 x) x) (/ 1 x))
0.0ms	x	@	inf	((/ 1 (* (* x (sqrt x)) (sqrt x))) (/ (/ 1 x) x) (/ 1 x))

simplify12.0ms (0.9%)

Memory

17.1MiB live, 17.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	13
1	19	13
2	49	13
3	122	13
4	296	13
5	694	13
6	835	13
7	837	13
8	837	13
0	837	13

Stop Event

1×	iter limit
1×	saturated

Counts

3 → 3

Calls

Call 1

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

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

rewrite83.0ms (6.5%)

Memory

7.9MiB live, 87.8MiB allocated

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	23
0	11	23
1	34	19
2	116	13
3	485	13
4	3254	13
0	8203	13

Stop Event

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

Counts

3 → 215

Calls

Call 1

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

Outputs
#s(approx (/ 1 (* (* x (sqrt x)) (sqrt x))) (pow.f64 x #s(literal -2 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 #s(literal 7/4 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (log.f64 x) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 7/4 binary64) (log.f64 x))))
(*.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (pow.f64 x #s(literal -7/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -5/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -7/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (pow.f64 x #s(literal -3/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -2 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 x))
(pow.f64 (*.f64 (exp.f64 #s(literal -1 binary64)) (exp.f64 #s(literal -1 binary64))) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 4 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 #s(literal 4 binary64) (log.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (E.f64) (*.f64 #s(literal -2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal -4 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (.f64 (.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal -2 binary64)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (neg.f64 (log.f64 x)))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 8 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -8 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x x) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -4 binary64))
(pow.f64 x #s(literal -2 binary64))
(/.f64 (fabs.f64 (pow.f64 x #s(literal -15/8 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))))))))
(/.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -5/4 binary64)))) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -5/4 binary64)))) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (fabs.f64 (*.f64 (pow.f64 x #s(literal -5/4 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (fabs.f64 (*.f64 (pow.f64 x #s(literal -5/4 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/4 binary64)))) (pow.f64 x #s(literal 7/4 binary64)))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64)))) (pow.f64 x #s(literal 7/4 binary64)))
(/.f64 (fabs.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 7/4 binary64)))
(/.f64 (fabs.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 7/4 binary64)))
(/.f64 (pow.f64 x #s(literal -15/8 binary64)) (pow.f64 x #s(literal 1/8 binary64)))
(/.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))))))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -5/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -5/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal -5/4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal -5/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 7/4 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 7/4 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal 7/4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal 7/4 binary64)))
(/.f64 (pow.f64 x #s(literal -5/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (pow.f64 x #s(literal -7/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal 5/4 binary64)))
(/.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal 7/4 binary64)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64)))
(/.f64 (pow.f64 x #s(literal -3/2 binary64)) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) (*.f64 x x))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal -1 binary64))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 x))))
(/.f64 (pow.f64 x #s(literal -1 binary64)) x)
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 x x))
(neg.f64 (pow.f64 x #s(literal -2 binary64)))
(fma.f64 (cosh.f64 (log.f64 x)) (pow.f64 x #s(literal -1 binary64)) (*.f64 (sinh.f64 (neg.f64 (log.f64 x))) (pow.f64 x #s(literal -1 binary64))))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (neg.f64 (log.f64 x))) (cosh.f64 (log.f64 x))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) (cosh.f64 (log.f64 x)) (*.f64 (pow.f64 x #s(literal -1 binary64)) (sinh.f64 (neg.f64 (log.f64 x)))))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 x x)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(-.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) (sinh.f64 (.f64 (log.f64 x) #s(literal 2 binary64))))
(fabs.f64 (pow.f64 x #s(literal -2 binary64)))
(exp.f64 (-.f64 (-.f64 (neg.f64 (log.f64 x)) (.f64 (log.f64 x) #s(literal 1/4 binary64))) (.f64 #s(literal 3/4 binary64) (log.f64 x))))
(exp.f64 (-.f64 (-.f64 (.f64 (log.f64 x) #s(literal -3/2 binary64)) (.f64 (log.f64 x) #s(literal 1/4 binary64))) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(exp.f64 (-.f64 (-.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) (.f64 (log.f64 x) #s(literal 1/4 binary64))) (*.f64 #s(literal 5/4 binary64) (log.f64 x))))
(exp.f64 (-.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 #s(literal 5/4 binary64) (log.f64 x))))
(exp.f64 (-.f64 (neg.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64))) (.f64 #s(literal 7/4 binary64) (log.f64 x))))
(exp.f64 (-.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 7/4 binary64) (log.f64 x))))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal -1/4 binary64)) (.f64 #s(literal 7/4 binary64) (log.f64 x))))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)) (.f64 #s(literal 7/4 binary64) (log.f64 x))))
(exp.f64 (-.f64 (-.f64 (*.f64 (log.f64 x) #s(literal -1/2 binary64)) (log.f64 x)) (log.f64 (sqrt.f64 x))))
(exp.f64 (-.f64 (fma.f64 (log.f64 x) #s(literal -1/2 binary64) (neg.f64 (log.f64 x))) (log.f64 (sqrt.f64 x))))
(exp.f64 (.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal -4 binary64)))
(exp.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)))
(+.f64 (.f64 (cosh.f64 (log.f64 x)) (pow.f64 x #s(literal -1 binary64))) (.f64 (sinh.f64 (neg.f64 (log.f64 x))) (pow.f64 x #s(literal -1 binary64))))
(+.f64 (.f64 (pow.f64 x #s(literal -1 binary64)) (cosh.f64 (log.f64 x))) (.f64 (pow.f64 x #s(literal -1 binary64)) (sinh.f64 (neg.f64 (log.f64 x)))))
(+.f64 (neg.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))) (sinh.f64 (neg.f64 (.f64 #s(literal -2 binary64) (log.f64 x)))))
(+.f64 (/.f64 (cosh.f64 (log.f64 x)) x) (/.f64 (sinh.f64 (neg.f64 (log.f64 x))) x))
(+.f64 (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))
(+.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))))
(.f64 (fabs.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3/4 binary64)))) (pow.f64 x #s(literal -1/4 binary64)))
(.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/4 binary64)))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -7/8 binary64))) (fabs.f64 (pow.f64 x #s(literal -1/8 binary64))))
(.f64 (fabs.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/4 binary64)))) (pow.f64 x #s(literal -3/4 binary64)))
(.f64 (fabs.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64)))) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (fabs.f64 (pow.f64 x #s(literal -1/8 binary64))) (fabs.f64 (pow.f64 x #s(literal -7/8 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -5/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -7/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal -5/4 binary64))))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -1/4 binary64))) (sqrt.f64 (pow.f64 x #s(literal -7/4 binary64))))
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 #s(literal 3/4 binary64) (log.f64 x))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (.f64 (log.f64 x) #s(literal 1/4 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x))))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -7/8 binary64)) (pow.f64 x #s(literal -1/8 binary64)))
(.f64 (.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -3/4 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal -1/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/8 binary64)) (pow.f64 x #s(literal -7/8 binary64)))
(.f64 (pow.f64 x #s(literal -3/4 binary64)) (fabs.f64 (.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64))))
(.f64 (pow.f64 x #s(literal -3/4 binary64)) (fabs.f64 (.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 x #s(literal -3/4 binary64)) (.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -3/4 binary64)) (.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (neg.f64 (pow.f64 x #s(literal -1/4 binary64))))
(*.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal -1/4 binary64)))
(.f64 (pow.f64 x #s(literal -1/4 binary64)) (fabs.f64 (.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal -1 binary64))))
(.f64 (pow.f64 x #s(literal -1/4 binary64)) (fabs.f64 (.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 x #s(literal -1/4 binary64)) (.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 x #s(literal -1/4 binary64)) (.f64 (pow.f64 x #s(literal -3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (neg.f64 (pow.f64 x #s(literal -3/4 binary64))))
(*.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal -3/4 binary64)))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))
(*.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))
(pow.f64 (exp.f64 #s(literal -2 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (exp.f64 #s(literal -1/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 2 binary64)) (log.f64 (sqrt.f64 x)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (E.f64) (neg.f64 (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 (log.f64 x) #s(literal -1/2 binary64)))
(pow.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -1/8 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/4 binary64))
(pow.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 1/8 binary64)) #s(literal -8 binary64))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal -4 binary64))
(pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 x) #s(literal -2 binary64))
(pow.f64 x #s(literal -1 binary64))
(/.f64 (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64)))) (fabs.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (neg.f64 (log.f64 x))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (neg.f64 (log.f64 x))))))))
(/.f64 (fabs.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/4 binary64)))) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (fabs.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64)))) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (fabs.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (fabs.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -15/8 binary64))) (sqrt.f64 (pow.f64 x #s(literal 1/8 binary64))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) #s(literal 2 binary64)) (.f64 (cosh.f64 (.f64 #s(literal -2 binary64) (log.f64 x))) (sinh.f64 (*.f64 #s(literal -2 binary64) (log.f64 x))))))))
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -5/4 binary64)))) (pow.f64 x #s(literal 3/8 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -5/4 binary64)))) (pow.f64 x #s(literal 3/8 binary64)))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5/4 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -5/4 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -5/4 binary64))) (pow.f64 x #s(literal 3/8 binary64)))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -7/4 binary64))) (pow.f64 x #s(literal 1/8 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/4 binary64)))) (pow.f64 x #s(literal 7/8 binary64)))
(/.f64 (sqrt.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64)))) (pow.f64 x #s(literal 7/8 binary64)))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64))) (pow.f64 x #s(literal 7/8 binary64)))
(/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 7/8 binary64)))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -3/4 binary64))) (pow.f64 x #s(literal 5/8 binary64)))
(/.f64 (sqrt.f64 (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal 7/8 binary64)))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) x)
(/.f64 (+.f64 (pow.f64 (cosh.f64 (log.f64 x)) #s(literal 3 binary64)) (pow.f64 (sinh.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (cosh.f64 (log.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (sinh.f64 (neg.f64 (log.f64 x))) #s(literal 2 binary64)) (*.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (neg.f64 (log.f64 x)))))))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal -1 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (*.f64 (pow.f64 x #s(literal -1/4 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (*.f64 #s(literal -1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1/4 binary64))) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (pow.f64 x #s(literal -3/4 binary64)) (pow.f64 x #s(literal 1/4 binary64)))
(/.f64 (pow.f64 x #s(literal -1/4 binary64)) (pow.f64 x #s(literal 3/4 binary64)))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (*.f64 (log.f64 x) #s(literal -1/2 binary64))))
(/.f64 (pow.f64 x #s(literal -1/2 binary64)) (sqrt.f64 x))
(/.f64 #s(literal -1 binary64) x)
(/.f64 #s(literal 1 binary64) (fabs.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) x)
(neg.f64 (pow.f64 x #s(literal -1 binary64)))
(fma.f64 (cosh.f64 (log.f64 x)) #s(literal -1 binary64) (*.f64 (sinh.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64)))
(fma.f64 (cosh.f64 (log.f64 x)) #s(literal 1 binary64) (*.f64 (sinh.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (.f64 (sinh.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64))) (cosh.f64 (log.f64 (sqrt.f64 x)))) (cosh.f64 (log.f64 x)))
(fma.f64 #s(literal -1 binary64) (cosh.f64 (log.f64 x)) (*.f64 #s(literal -1 binary64) (sinh.f64 (neg.f64 (log.f64 x)))))
(fma.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 x)) (*.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 (log.f64 x)))))
(sqrt.f64 (pow.f64 x #s(literal -2 binary64)))
(-.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (log.f64 x)))
(fabs.f64 (pow.f64 x #s(literal -1 binary64)))
(exp.f64 (-.f64 (-.f64 (.f64 (log.f64 x) #s(literal -1/2 binary64)) (.f64 (log.f64 x) #s(literal 1/4 binary64))) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(exp.f64 (-.f64 (.f64 (.f64 (log.f64 x) #s(literal 3/2 binary64)) #s(literal -1/2 binary64)) (*.f64 (log.f64 x) #s(literal 1/4 binary64))))
(exp.f64 (-.f64 (neg.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64))) (.f64 #s(literal 3/4 binary64) (log.f64 x))))
(exp.f64 (-.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal -1 binary64)) (*.f64 #s(literal 3/4 binary64) (log.f64 x))))
(exp.f64 (-.f64 (.f64 (log.f64 x) #s(literal -1/4 binary64)) (.f64 #s(literal 3/4 binary64) (log.f64 x))))
(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 x)) #s(literal -1/2 binary64)) (.f64 #s(literal 3/4 binary64) (log.f64 x))))
(exp.f64 (/.f64 (*.f64 #s(literal -2 binary64) (log.f64 x)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal -1 binary64))) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 4 binary64) (log.f64 x)) #s(literal -1/4 binary64)))
(exp.f64 (.f64 (.f64 (log.f64 x) #s(literal 1/4 binary64)) #s(literal -4 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 1 binary64)))
(exp.f64 (neg.f64 (log.f64 x)))
(+.f64 (.f64 (cosh.f64 (log.f64 x)) #s(literal -1 binary64)) (.f64 (sinh.f64 (neg.f64 (log.f64 x))) #s(literal -1 binary64)))
(+.f64 (.f64 (cosh.f64 (log.f64 x)) #s(literal 1 binary64)) (.f64 (sinh.f64 (neg.f64 (log.f64 x))) #s(literal 1 binary64)))
(+.f64 (.f64 #s(literal -1 binary64) (cosh.f64 (log.f64 x))) (.f64 #s(literal -1 binary64) (sinh.f64 (neg.f64 (log.f64 x)))))
(+.f64 (.f64 #s(literal 1 binary64) (cosh.f64 (log.f64 x))) (.f64 #s(literal 1 binary64) (sinh.f64 (neg.f64 (log.f64 x)))))
(+.f64 (neg.f64 (cosh.f64 (log.f64 x))) (sinh.f64 (neg.f64 (neg.f64 (log.f64 x)))))
(+.f64 (sinh.f64 (neg.f64 (log.f64 x))) (cosh.f64 (log.f64 x)))
(+.f64 (cosh.f64 (log.f64 x)) (sinh.f64 (neg.f64 (log.f64 x))))

eval26.0ms (2%)

Memory: -29.3MiB live, 46.4MiB allocated
Compiler: Compiled 4 387 to 779 computations (82.2% saved)

prune4.0ms (0.3%)

Memory

17.0MiB live, 17.0MiB allocated

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	217	0	217
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	217	4	221

Accuracy

100.0%

Counts

221 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 x #s(literal -2 binary64))
✓	99.3%	(/.f64 #s(literal 1 binary64) (.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x)))
✓	99.5%	(/.f64 #s(literal 1 binary64) (*.f64 x x))
✓	99.7%	#s(approx (/ 1 (* (* x (sqrt x)) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))

Compiler

Compiled 64 to 41 computations (35.9% saved)

regimes5.0ms (0.4%)

Memory

12.4MiB live, 12.4MiB allocated

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

2.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes7.0ms (0.5%)

Memory

-27.0MiB live, 11.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs

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

#s(approx (/ 1 (* (* x (sqrt x)) (sqrt x))) (/.f64 (/.f64 #s(literal 1 binary64) x) x))

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

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

Calls

3 calls:

4.0ms	x
1.0ms	(*.f64 x x)
1.0ms	(/.f64 #s(literal 1 binary64) (*.f64 x x))

Results

Accuracy	Segments	Branch
99.7%	1	`x`
99.7%	1	`(/.f64 #s(literal 1 binary64) (*.f64 x x))`
99.7%	1	`(*.f64 x x)`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes3.0ms (0.2%)

Memory

8.5MiB live, 8.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

3 calls:

1.0ms	x
1.0ms	(/.f64 #s(literal 1 binary64) (*.f64 x x))
1.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify26.0ms (2.1%)

Memory

7.6MiB live, 50.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	24	19
2	35	19
3	68	19
4	140	19
5	173	19
6	183	19
7	193	19

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness136.0ms (10.6%)

Memory

-11.5MiB live, 267.6MiB allocated

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	4	8
0	6	8
1	22	6
2	76	6
3	255	6
0	741	6
0	19	28
1	43	28
2	126	28
3	317	28
4	860	28
5	1443	28
6	1461	28
7	1461	28
8	1503	28
0	1503	28

Stop Event

1×	done
1×	iter limit
1×	saturated
1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound
1×	iter limit

Compiler

Compiled 50 to 32 computations (36% saved)

preprocess32.0ms (2.5%)

Memory: 24.0MiB live, 183.5MiB allocated
Remove: (abs x)
Compiler: Compiled 84 to 62 computations (26.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze1.0ms (0.1%)

sample536.0ms (41.7%)

explain46.0ms (3.5%)

preprocess13.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify4.0ms (0.3%)

localize16.0ms (1.2%)

series1.0ms (0.1%)

simplify4.0ms (0.3%)

rewrite56.0ms (4.3%)

eval5.0ms (0.4%)

prune2.0ms (0.1%)

simplify17.0ms (1.3%)

localize25.0ms (2%)

series6.0ms (0.4%)

simplify22.0ms (1.7%)

rewrite107.0ms (8.3%)

eval53.0ms (4.1%)

prune6.0ms (0.5%)

simplify7.0ms (0.6%)

localize21.0ms (1.7%)

series2.0ms (0.1%)

simplify12.0ms (0.9%)

rewrite83.0ms (6.5%)

eval26.0ms (2%)

prune4.0ms (0.3%)

regimes5.0ms (0.4%)

regimes7.0ms (0.5%)

regimes3.0ms (0.2%)

simplify26.0ms (2.1%)

soundness136.0ms (10.6%)

preprocess32.0ms (2.5%)

end0.0ms (0%)

Profiling