Metrics for powComplex, real part

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze288.0ms (1.9%)

Memory

1.7MiB live, 96.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.8%	0.2%	0%	0%	0%	0
0%	0%	99.8%	0.2%	0%	0%	0%	1
0%	0%	99.8%	0.2%	0%	0%	0%	2
0%	0%	99.8%	0.2%	0%	0%	0%	3
0%	0%	99.8%	0.2%	0%	0%	0%	4
0%	0%	99.8%	0.2%	0%	0%	0%	5
0%	0%	99.8%	0.2%	0%	0%	0%	6
18.8%	18.7%	81.1%	0.2%	0%	0%	0%	7
18.8%	18.7%	81.1%	0.2%	0%	0%	0%	8
18.8%	18.7%	81.1%	0.2%	0%	0%	0%	9
34.4%	34.3%	65.5%	0.2%	0%	0%	0%	10
54.7%	54.6%	45.2%	0.2%	0%	0%	0%	11
54.7%	54.6%	45.2%	0.2%	0%	0%	0%	12

Compiler

Compiled 39 to 18 computations (53.8% saved)

sample58.0ms (0.4%)

Memory

0.9MiB live, 16.4MiB allocated

Samples

28.0ms	92×	1	valid
19.0ms	168×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-mult: 10.0ms (26.1% of total)

ival-hypot: 6.0ms (15.6% of total)

ival-log: 6.0ms (15.6% of total)

ival-cos: 5.0ms (13% of total)

adjust: 3.0ms (7.8% of total)

ival-atan2: 3.0ms (7.8% of total)

ival-exp: 2.0ms (5.2% of total)

ival-sub: 1.0ms (2.6% of total)

ival-add: 1.0ms (2.6% of total)

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

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

Bogosity

explain14.4s (96.3%)

Memory

85.6MiB live, 6 566.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
182	-	0	-	`(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))`
123	-	1	(-2.130347860565471e-285 -1.0311901314612271e-160 0.038951348101009836 -2.33118978747349e+123)	`(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))`
9	-	0	-	`(*.f64 (atan2.f64 x.im x.re) y.re)`
5	-	0	-	`(*.f64 (atan2.f64 x.im x.re) y.im)`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.im)`
0	-	0	-	`(log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im))))`
0	-	0	-	`(atan2.f64 x.im x.re)`
0	-	0	-	`(*.f64 x.re x.re)`
0	-	0	-	`(-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))`
0	-	0	-	`x.re`
0	-	0	-	`x.im`
0	-	0	-	`(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re))`
0	-	0	-	`(*.f64 x.im x.im)`
0	-	0	-	`(.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (*.f64 x.im x.im)))) y.re)`
0	-	0	-	`(exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im)))`
0	-	0	-	`y.re`
0	-	0	-	`y.im`
0	-	0	-	`(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))`
0	-	0	-	`(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`cos.f64`	`(cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (.f64 (atan2.f64 x.im x.re) y.re)))`	sensitivity	182	0
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))`	oflow-rescue	107	0
↳	`(*.f64 x.re x.re)`	overflow	59
↳	`(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	overflow	107
↳	`(*.f64 x.im x.im)`	overflow	66
`sqrt.f64`	`(sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))`	uflow-rescue	1	0
↳	`(*.f64 x.re x.re)`	underflow	63
↳	`(+.f64 (.f64 x.re x.re) (.f64 x.im x.im))`	underflow	15
↳	`(*.f64 x.im x.im)`	underflow	64

Confusion

	Predicted +	Predicted -
+	143	6
-	69	38

Precision

0.6745283018867925

Recall

0.959731543624161

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	143	0	6
-	69	0	38

Precision?

0.6745283018867925

Recall?

0.959731543624161

Freqs

test

number	freq
0	44
1	134
2	78

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Total Time

78.283935546875

Average Time

0.30579662322998047

Samples

5.8s	16 110×	1	valid
1.0s	6 930×	0	valid

Compiler

Compiled 25 605 to 3 600 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.4s

ival-mult: 1.5s (27.1% of total)

ival-log: 798.0ms (14.9% of total)

ival-hypot: 744.0ms (13.9% of total)

ival-cos: 662.0ms (12.3% of total)

adjust: 568.0ms (10.6% of total)

ival-atan2: 431.0ms (8% of total)

ival-add: 309.0ms (5.8% of total)

ival-exp: 206.0ms (3.8% of total)

ival-sub: 159.0ms (3% of total)

ival-true: 22.0ms (0.4% of total)

ival-assert: 9.0ms (0.2% of total)

preprocess185.0ms (1.2%)

Memory

-0.9MiB live, 9.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	136	536
1	338	518
2	690	518
3	1317	516
4	2684	516
5	4446	516
6	6512	516
7	7187	516
8	7589	516
9	7694	516
10	7702	516
11	7742	516
12	7952	516
0	19	37
0	34	37
1	49	36
2	78	36
3	108	36
4	160	36
5	218	36
6	312	36
7	449	36
8	604	36
9	736	36
10	802	36
11	815	36
0	815	25

Stop Event

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

Calls

Call 1

Inputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Inputs

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Outputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (.f64 (atan2.f64 x.im x.re) y.re))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))

Outputs

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

(*.f64 (cos.f64 (fma.f64 y.im (log.f64 (hypot.f64 x.im x.re)) (*.f64 (atan2.f64 x.im x.re) y.re))) (/.f64 (pow.f64 (hypot.f64 x.im x.re) y.re) (pow.f64 (exp.f64 y.im) (atan2.f64 x.im x.re))))

Compiler

Compiled 37 to 19 computations (48.6% saved)

eval0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
	42.0%	(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Status

Accuracy

Program

42.0%

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Compiler

Compiled 74 to 38 computations (48.6% saved)

simplify20.0ms (0.1%)

Memory

1.9MiB live, 17.7MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	37
1	31	37
2	43	37
3	49	37
4	53	37
5	54	37

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Inputs

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

Outputs
(.f64 (exp.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.re) (.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 (.f64 x.re x.re) (.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))
(.f64 (cos.f64 (+.f64 (.f64 (atan2.f64 x.im x.re) y.re) (.f64 y.im (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))))) (exp.f64 (-.f64 (.f64 y.re (log.f64 (sqrt.f64 (+.f64 (.f64 x.im x.im) (.f64 x.re x.re))))) (*.f64 y.im (atan2.f64 x.im x.re)))))

Outputs

(*.f64 (exp.f64 (-.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.re) (*.f64 (atan2.f64 x.im x.re) y.im))) (cos.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 (*.f64 x.re x.re) (*.f64 x.im x.im)))) y.im) (*.f64 (atan2.f64 x.im x.re) y.re))))

(*.f64 (cos.f64 (+.f64 (*.f64 (atan2.f64 x.im x.re) y.re) (*.f64 y.im (log.f64 (sqrt.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))))))) (exp.f64 (-.f64 (*.f64 y.re (log.f64 (sqrt.f64 (+.f64 (*.f64 x.im x.im) (*.f64 x.re x.re))))) (*.f64 y.im (atan2.f64 x.im x.re)))))

soundness0.0ms (0%)

Memory

0.2MiB live, 0.2MiB allocated

Stop Event

1×

fuel

Compiler

Compiled 37 to 19 computations (48.6% saved)

preprocess1.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 148 to 76 computations (48.6% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze288.0ms (1.9%)

sample58.0ms (0.4%)

explain14.4s (96.3%)

preprocess185.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify20.0ms (0.1%)

soundness0.0ms (0%)

preprocess1.0ms (0%)

end0.0ms (0%)

Profiling